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PHYSICS (625 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 741 Journals sorted alphabetically
Acta Acustica     Open Access   (Followers: 4)
Acta Mechanica     Hybrid Journal   (Followers: 22)
Acta Scientifica Naturalis     Open Access   (Followers: 2)
Advanced Composite Materials     Hybrid Journal   (Followers: 75)
Advanced Electronic Materials     Hybrid Journal   (Followers: 7)
Advanced Functional Materials     Hybrid Journal   (Followers: 71)
Advanced Materials     Hybrid Journal   (Followers: 254)
Advanced Quantum Technologies     Hybrid Journal   (Followers: 3)
Advanced Science Focus     Free   (Followers: 6)
Advanced Structural and Chemical Imaging     Open Access   (Followers: 2)
Advanced Theory and Simulations     Hybrid Journal   (Followers: 2)
Advances in Clinical Radiology     Full-text available via subscription   (Followers: 4)
Advances in Condensed Matter Physics     Open Access   (Followers: 5)
Advances in Geophysics     Full-text available via subscription   (Followers: 7)
Advances in High Energy Physics     Open Access   (Followers: 23)
Advances in Imaging and Electron Physics     Full-text available via subscription   (Followers: 4)
Advances in Materials Physics and Chemistry     Open Access   (Followers: 33)
Advances in Natural Sciences : Nanoscience and Nanotechnology     Open Access   (Followers: 28)
Advances in OptoElectronics     Open Access   (Followers: 6)
Advances In Physics     Hybrid Journal   (Followers: 29)
Advances in Physics : X     Open Access   (Followers: 4)
Advances in Physics Theories and Applications     Open Access   (Followers: 12)
Advances in Remote Sensing     Open Access   (Followers: 59)
Aggregate     Open Access  
AIP Advances     Open Access   (Followers: 7)
AIP Conference Proceedings     Full-text available via subscription   (Followers: 2)
American Journal of Condensed Matter Physics     Open Access   (Followers: 7)
American Journal of Signal Processing     Open Access   (Followers: 14)
Anales (Asociación Física Argentina)     Open Access  
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 9)
Annalen der Physik     Hybrid Journal   (Followers: 5)
Annales Geophysicae (ANGEO)     Open Access   (Followers: 21)
Annales Henri Poincaré     Hybrid Journal   (Followers: 2)
Annals of Nuclear Medicine     Hybrid Journal   (Followers: 6)
Annals of Physics     Hybrid Journal   (Followers: 7)
Annals of West University of Timisoara - Physics     Open Access   (Followers: 1)
Annual Reports on NMR Spectroscopy     Full-text available via subscription   (Followers: 4)
Annual Review of Analytical Chemistry     Full-text available via subscription   (Followers: 12)
Annual Review of Condensed Matter Physics     Full-text available via subscription   (Followers: 3)
Annual Review of Materials Research     Full-text available via subscription   (Followers: 8)
APL Materials     Open Access   (Followers: 12)
Applied Composite Materials     Hybrid Journal   (Followers: 54)
Applied Mathematics and Physics     Open Access   (Followers: 2)
Applied Physics A     Hybrid Journal   (Followers: 15)
Applied Physics Frontier     Open Access   (Followers: 2)
Applied Physics Letters     Hybrid Journal   (Followers: 44)
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Applied Physics Reviews     Hybrid Journal   (Followers: 11)
Applied Radiation and Isotopes     Hybrid Journal   (Followers: 4)
Applied Spectroscopy     Full-text available via subscription   (Followers: 24)
Applied Spectroscopy Reviews     Hybrid Journal   (Followers: 4)
Archive for Rational Mechanics and Analysis     Hybrid Journal   (Followers: 1)
Asia Pacific Physics Newsletter     Hybrid Journal   (Followers: 1)
Asian Journal of Physical and Chemical Sciences     Open Access   (Followers: 2)
ASTRA Proceedings     Open Access   (Followers: 3)
Astronomy & Geophysics     Hybrid Journal   (Followers: 49)
Astronomy and Astrophysics Review     Hybrid Journal   (Followers: 39)
Atoms     Open Access   (Followers: 1)
Attention, Perception & Psychophysics     Full-text available via subscription   (Followers: 15)
Axioms     Open Access   (Followers: 1)
Bangladesh Journal of Medical Physics     Open Access  
Bauphysik     Hybrid Journal   (Followers: 1)
Biomaterials     Hybrid Journal   (Followers: 55)
Biomedical Imaging and Intervention Journal     Open Access   (Followers: 5)
Biophysical Reviews     Hybrid Journal   (Followers: 2)
Biophysical Reviews and Letters     Hybrid Journal   (Followers: 5)
BJR|Open     Open Access  
Boson Journal of Modern Physics     Open Access   (Followers: 9)
Brazilian Journal of Physics     Hybrid Journal  
Bulletin of Materials Science     Open Access   (Followers: 43)
Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics     Open Access  
Bulletin of the Atomic Scientists     Hybrid Journal   (Followers: 7)
Bulletin of the Lebedev Physics Institute     Hybrid Journal  
Bulletin of the Russian Academy of Sciences: Physics     Hybrid Journal   (Followers: 1)
Caderno Brasileiro de Ensino de Física     Open Access  
Canadian Journal of Physics     Hybrid Journal   (Followers: 11)
Cell Reports Physical Science     Open Access  
Cells     Open Access   (Followers: 2)
CERN courier. International journal of high energy physics     Free   (Followers: 8)
Chemical Physics Impact     Full-text available via subscription  
ChemPhysMater     Full-text available via subscription  
Chinese Journal of Chemical Physics     Hybrid Journal   (Followers: 1)
Chinese Journal of Physics     Hybrid Journal   (Followers: 1)
Ciencia     Open Access  
Clinical Spectroscopy     Open Access  
Cogent Physics     Open Access  
Colloid Journal     Hybrid Journal   (Followers: 2)
Communications in Mathematical Physics     Hybrid Journal   (Followers: 2)
Communications in Numerical Methods in Engineering     Hybrid Journal   (Followers: 2)
Communications Materials     Open Access  
Communications Physics     Open Access  
Complex Analysis and its Synergies     Open Access   (Followers: 2)
Composites Part A : Applied Science and Manufacturing     Hybrid Journal   (Followers: 173)
Composites Part B : Engineering     Hybrid Journal   (Followers: 218)
Composites Part C : Open Access     Open Access   (Followers: 2)
Computational Astrophysics and Cosmology     Open Access   (Followers: 6)
Computational Condensed Matter     Open Access   (Followers: 1)
Computational Materials Science     Hybrid Journal   (Followers: 25)
Computational Mathematics and Mathematical Physics     Hybrid Journal   (Followers: 5)
Computational Particle Mechanics     Hybrid Journal   (Followers: 1)
Computer Physics Communications     Hybrid Journal   (Followers: 9)
Condensed Matter     Open Access   (Followers: 2)
Contemporary Physics     Hybrid Journal   (Followers: 26)
Continuum Mechanics and Thermodynamics     Hybrid Journal   (Followers: 8)
Contributions to Plasma Physics     Hybrid Journal   (Followers: 3)
Cryogenics     Hybrid Journal   (Followers: 60)
Current Applied Physics     Full-text available via subscription   (Followers: 4)
Current Science     Open Access   (Followers: 115)
Diagnostic and Interventional Imaging     Full-text available via subscription  
Diamond and Related Materials     Hybrid Journal   (Followers: 10)
Discrete and Continuous Models and Applied Computational Science     Open Access  
Doklady Physics     Hybrid Journal   (Followers: 1)
e-Boletim da Física     Open Access  
East European Journal of Physics     Open Access   (Followers: 1)
Edufisika : Jurnal Pendidikan Fisika     Open Access  
EDUSAINS     Open Access  
Egyptian Journal of Remote Sensing and Space Science     Open Access   (Followers: 25)
EJNMMI Physics     Open Access  
Emergent Scientist     Open Access  
Engineering Failure Analysis     Hybrid Journal   (Followers: 68)
Engineering Fracture Mechanics     Hybrid Journal   (Followers: 24)
Environmental Fluid Mechanics     Hybrid Journal   (Followers: 11)
EPJ Quantum Technology     Open Access   (Followers: 2)
EPJ Techniques and Instrumentation     Open Access  
EPJ Web of Conferences     Open Access   (Followers: 1)
EUREKA : Physics and Engineering     Open Access  
European Physical Journal - Applied Physics     Full-text available via subscription   (Followers: 19)
European Physical Journal C     Hybrid Journal   (Followers: 2)
Europhysics News     Open Access  
Experimental and Computational Multiphase Flow     Hybrid Journal  
Experimental Mechanics     Hybrid Journal   (Followers: 21)
Experimental Techniques     Hybrid Journal   (Followers: 51)
Exploration Geophysics     Hybrid Journal   (Followers: 4)
Few-Body Systems     Hybrid Journal   (Followers: 1)
Fire and Materials     Hybrid Journal   (Followers: 5)
FirePhysChem     Open Access  
Flexible Services and Manufacturing Journal     Hybrid Journal   (Followers: 2)
Fluctuation and Noise Letters     Hybrid Journal  
Fluid Dynamics     Hybrid Journal   (Followers: 27)
Fortschritte der Physik/Progress of Physics     Hybrid Journal  
Frontiers in Nanotechnology     Open Access   (Followers: 1)
Frontiers in Physics     Open Access   (Followers: 6)
Frontiers of Materials Science     Hybrid Journal   (Followers: 5)
Frontiers of Physics     Hybrid Journal   (Followers: 2)
Fusion Engineering and Design     Hybrid Journal   (Followers: 6)
Geochemistry, Geophysics, Geosystems     Full-text available via subscription   (Followers: 35)
Geografiska Annaler, Series A : Physical Geography     Hybrid Journal   (Followers: 4)
Geophysical Research Letters     Full-text available via subscription   (Followers: 160)
Giant     Open Access  
Glass Physics and Chemistry     Hybrid Journal   (Followers: 1)
Granular Matter     Hybrid Journal  
Graphs and Combinatorics     Hybrid Journal   (Followers: 4)
Gravitation and Cosmology     Hybrid Journal   (Followers: 6)
Heat Transfer - Asian Research     Hybrid Journal   (Followers: 10)
High Energy Density Physics     Hybrid Journal   (Followers: 3)
High Pressure Research: An International Journal     Hybrid Journal   (Followers: 3)
Himalayan Physics     Open Access  
IEEE Embedded Systems Letters     Hybrid Journal   (Followers: 60)
IEEE Journal of Quantum Electronics     Hybrid Journal   (Followers: 19)
IEEE Journal on Multiscale and Multiphysics Computational Techniques     Hybrid Journal  
IEEE Magnetics Letters     Hybrid Journal   (Followers: 7)
IEEE Nanotechnology Magazine     Hybrid Journal   (Followers: 45)
IEEE Reviews in Biomedical Engineering     Hybrid Journal   (Followers: 19)
IEEE Signal Processing Magazine     Full-text available via subscription   (Followers: 98)
IEEE Solid-State Circuits Magazine     Hybrid Journal   (Followers: 11)
IEEE Transactions on Autonomous Mental Development     Hybrid Journal   (Followers: 8)
IEEE Transactions on Biomedical Engineering     Hybrid Journal   (Followers: 35)
IEEE Transactions on Broadcasting     Hybrid Journal   (Followers: 11)
IEEE Transactions on Geoscience and Remote Sensing     Hybrid Journal   (Followers: 174)
IEEE Transactions on Haptics     Hybrid Journal   (Followers: 4)
IEEE Transactions on Industrial Electronics     Hybrid Journal   (Followers: 85)
IEEE Transactions on Industry Applications     Hybrid Journal   (Followers: 57)
IEEE Transactions on Learning Technologies     Full-text available via subscription   (Followers: 12)
IEEE Transactions on Quantum Engineering     Open Access   (Followers: 3)
IEEE Transactions on Services Computing     Hybrid Journal   (Followers: 5)
IEEE Transactions on Software Engineering     Hybrid Journal   (Followers: 84)
IEEE Women in Engineering Magazine     Hybrid Journal   (Followers: 11)
IEEE/OSA Journal of Optical Communications and Networking     Hybrid Journal   (Followers: 19)
IET Optoelectronics     Open Access   (Followers: 2)
Il Colle di Galileo     Open Access  
Image Analysis & Stereology     Open Access   (Followers: 1)
Imaging Science Journal     Hybrid Journal   (Followers: 3)
ImmunoInformatics     Open Access   (Followers: 1)
Indian Journal of Biochemistry and Biophysics (IJBB)     Open Access   (Followers: 3)
Indian Journal of Physics     Hybrid Journal   (Followers: 18)
Indian Journal of Pure & Applied Physics (IJPAP)     Open Access   (Followers: 36)
Indian Journal of Radio & Space Physics (IJRSP)     Open Access   (Followers: 49)
Infinite Dimensional Analysis, Quantum Probability and Related Topics     Hybrid Journal   (Followers: 1)
InfraMatics     Open Access  
Infrared Physics & Technology     Hybrid Journal   (Followers: 11)
Intelligent Transportation Systems Magazine, IEEE     Full-text available via subscription   (Followers: 12)
Intermetallics     Hybrid Journal   (Followers: 21)
International Applied Mechanics     Hybrid Journal   (Followers: 5)
International Heat Treatment and Surface Engineering     Hybrid Journal   (Followers: 5)
International Journal for Computational Methods in Engineering Science and Mechanics     Hybrid Journal   (Followers: 13)
International Journal for Ion Mobility Spectrometry     Hybrid Journal   (Followers: 1)
International Journal for Simulation and Multidisciplinary Design Optimization     Open Access   (Followers: 5)
International Journal of Abrasive Technology     Hybrid Journal   (Followers: 2)
International Journal of Aeroacoustics     Hybrid Journal   (Followers: 37)
International Journal of Applied Electronics in Physics & Robotics     Open Access   (Followers: 3)

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Communications in Mathematical Physics
Journal Prestige (SJR): 1.682
Citation Impact (citeScore): 2
Number of Followers: 2  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 1432-0916 - ISSN (Online) 0010-3616
Published by Springer-Verlag Homepage  [2469 journals]
  • Asymptotics Toward Viscous Contact Waves for Solutions of the Landau
           Equation

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      Abstract: In the paper, we are concerned with the large time asymptotics toward the viscous contact waves for solutions of the Landau equation with physically realistic Coulomb interactions. Precisely, for the corresponding Cauchy problem in the spatially one-dimensional setting, we construct the unique global-in-time solution near a local Maxwellian whose fluid quantities are the viscous contact waves in the sense of hydrodynamics and also prove that the solution tends toward such local Maxwellian in large time. The result is proved by elaborate energy estimates and seems the first one on the dynamical stability of contact waves for the Landau equation. One key point of the proof is to introduce a new time-velocity weight function that includes an exponential factor of the form \(\exp (q(t)\langle \xi \rangle ^2)\) with $$\begin{aligned} q(t):=q_1-q_2\int _0^tq_3(s)\,ds, \end{aligned}$$ where \(q_1\) and \(q_2\) are given positive constants and \(q_3(\cdot )\) is defined by the energy dissipation rate of the solution itself. The time derivative of such weight function is able to induce an extra quartic dissipation term for treating the large-velocity growth in the nonlinear estimates due to degeneration of the linearized Landau operator in the Coulomb case. Note that in our problem the explicit time-decay of solutions around contact waves is unavailable but no longer needed under the crucial use of the above weight function, which is different from the situation in Duan (Ann Inst H Poincaré Anal Non Linéaire 31:751–778, 2014) and Duan and Yu (Adv Math 362:106956, 2020).
      PubDate: 2022-05-14
       
  • Spin-Ruijsenaars, q-Deformed Haldane–Shastry and Macdonald
           Polynomials

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      Abstract: We study the q-analogue of the Haldane–Shastry model, a partially isotropic (xxz-like) long-range spin chain that by construction enjoys quantum-affine (really: quantum-loop) symmetries at finite system size. We derive the pairwise form of the Hamiltonian, found by one of us building on work of D. Uglov, via ‘freezing’ from the affine Hecke algebra. To this end we first obtain explicit expressions for the spin-Macdonald operators of the (trigonometric) spin-Ruijsenaars model. Through freezing these give rise to the higher Hamiltonians of the spin chain, including another Hamiltonian of the opposite ‘chirality’. The sum of the two chiral Hamiltonians has a real spectrum also when \( \mathsf {q} =1\) , so in particular when q is a root of unity. For generic \(\mathsf {q}\) the eigenspaces are known to be labelled by ‘motifs’. We clarify the relation between these patterns and the corresponding degeneracies (multiplicities) in the crystal limit \(\textsf {q}\rightarrow \infty \) . For each motif we obtain an explicit expression for the exact eigenvector, valid for generic q, that has (‘pseudo’ or ‘l-’) highest weight in the sense that, in terms of the operators from the monodromy matrix, it is an eigenvector of A and D and annihilated by C. It has a simple component featuring the ‘symmetric square’ of the q-Vandermonde polynomial times a Macdonald polynomial—or more precisely its quantum spherical zonal special case. All other components of the eigenvector are obtained from this through the action of the Hecke algebra, followed by ‘evaluation’ of the variables to roots of unity. We prove that our vectors have highest weight upon evaluation. Our description of the exact spectrum is complete. The entire model, including the quantum-loop action, can be reformulated in terms of polynomials. Our main tools are the Y-operators from the affine Hecke algebra. From a more mathematical perspective the key step in our diagonalisation is as follows. We show that on a subspace of suitable polynomials the first M ‘classical’ (i.e. no difference part) Y-operators in N variables reduce, upon evaluation as above, to Y-operators in M variables with parameters at the quantum zonal spherical point.
      PubDate: 2022-05-13
       
  • Blobbed Topological Recursion of the Quartic Kontsevich Model I: Loop
           Equations and Conjectures

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      Abstract: We provide strong evidence for the conjecture that the analogue of Kontsevich’s matrix Airy function, with the cubic potential \(\mathrm {Tr}(\Phi ^3)\) replaced by a quartic term \(\mathrm {Tr}(\Phi ^4)\) , obeys the blobbed topological recursion of Borot and Shadrin. We identify in the quartic Kontsevich model three families of correlation functions for which we establish interwoven loop equations. One family consists of symmetric meromorphic differential forms \(\omega _{g,n}\) labelled by genus and number of marked points of a complex curve. We reduce the solution of all loop equations to a straightforward but lengthy evaluation of residues. In all evaluated cases, the \(\omega _{g,n}\) consist of a part with poles at ramification points which satisfies the universal formula of topological recursion, and of a part holomorphic at ramification points for which we provide an explicit residue formula.
      PubDate: 2022-05-12
       
  • About Linearization of Infinite-Dimensional Hamiltonian Systems

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      Abstract: This article is concerned with analytic Hamiltonian dynamical systems in infinite dimension in a neighborhood of an elliptic fixed point. Given a quadratic Hamiltonian, we consider the set of its analytic higher order perturbations. We first define the subset of elements which are formally symplectically conjugated to a (formal) Birkhoff normal form. We prove that if the quadratic Hamiltonian satisfies a Diophantine-like condition and if such a perturbation is formally symplectically conjugated to the quadratic Hamiltonian, then it is also analytically symplectically conjugated to it. Of course what is an analytic symplectic change of variables depends strongly on the choice of the phase space. Here we work on periodic functions with Gevrey regularity.
      PubDate: 2022-05-12
       
  • Correct Bounds on the Ising Lace-Expansion Coefficients

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      Abstract: The lace expansion for the Ising two-point function was successfully derived in (Sakai in Commun Math Phys 272:283–344, 2007, Proposition 1.1). It is an identity that involves an alternating series of lace-expansion coefficients. In the same paper, we claimed that the expansion coefficients obey certain diagrammatic bounds which imply faster x-space decay (as the two-point function cubed) above the critical dimension \(d_\mathrm {c}\) ( \(=4\) for finite-variance models) if the spin-spin coupling is ferromagnetic, translation-invariant, summable and symmetric with respect to the underlying lattice symmetries. However, we recently found a flaw in the proof of (Sakai in Commun Math Phys 272:283–344, 2007, Lemma 4.2), a key lemma to the aforementioned diagrammatic bounds. In this paper, we no longer use the problematic (Sakai 2007, Lemma 4.2), and prove new diagrammatic bounds on the expansion coefficients that are slightly more complicated than those in (Sakai 2007, Proposition 4.1) but nonetheless obey the same fast decay above the critical dimension \(d_\mathrm {c}\) . Consequently, the lace-expansion results for the Ising and \(\varphi ^4\) models in the literature are all saved. The proof is based on the random-current representation and its source-switching technique of Griffiths, Hurst and Sherman, combined with a double expansion: a lace expansion for the lace-expansion coefficients.
      PubDate: 2022-05-10
       
  • Sphere Partition Function of Calabi–Yau GLSMs

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      Abstract: The sphere partition function of Calabi–Yau gauged linear sigma models (GLSMs) has been shown to compute the exact Kähler potential of the Kähler moduli space of a Calabi–Yau. We propose a universal expression for the sphere partition function evaluated in hybrid phases of Calabi–Yau GLSMs that are fibrations of Landau–Ginzburg orbifolds over some base manifold. Special cases include Calabi–Yau complete intersections in toric ambient spaces and Landau–Ginzburg orbifolds. The key ingredients that enter the expression are Givental’s I/J-functions, the Gamma class and further data associated to the hybrid model. We test the proposal for one- and two-parameter abelian GLSMs, making connections, where possible, to known results from mirror symmetry and FJRW theory.
      PubDate: 2022-05-09
       
  • Mahler Measure for a Quiver Symphony

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      Abstract: Adopting the Mahler measure from number theory, we introduce it to toric quiver gauge theories, and study some of its salient features and physical implications. We propose that the Mahler measure is a universal measure for the quiver, encoding its dynamics with the monotonic behaviour along a so-called Mahler flow including two special points at isoradial and tropical limits. Along the flow, the amoeba, from tropical geometry, provides geometric interpretations for the dynamics of the quiver. In the isoradial limit, the maximization of Mahler measure is shown to be equivalent to a-maximization. The Mahler measure and its derivative are closely related to the master space, leading to the property that the specular duals have the same functions as coefficients in their expansions, hinting the emergence of a free theory in the tropical limit. Moreover, they indicate the existence of phase transition. We also find that the Mahler measure should be invariant under Seiberg duality.
      PubDate: 2022-05-09
       
  • BMS Charges Without Supertranslation Ambiguity

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      Abstract: The asymptotic symmetry of an isolated gravitating system, or the Bondi–Metzner–Sachs (BMS) group, contains an infinite-dimensional subgroup of supertranslations. Despite decades of study, the difficulties with the “supertranslation ambiguity” persisted in making sense of fundamental notions such as the angular momentum carried away by gravitational radiation. The issues of angular momentum and center of mass were resolved by the authors recently. In this paper, we address the issues for conserved charges with respect to both the classical BMS algebra and the extended BMS algebra. In particular, supertranslation ambiguity of the classical charge for the BMS algebra, as well as the extended BMS algebra, is completely identified. We then propose a new invariant charge by adding correction terms to the classical charge. With the presence of these correction terms, the new invariant charge is then shown to be free from any supertranslation ambiguity. Finally, we prove that both the classical and invariant charges for the extended BMS algebra are invariant under the boost transformations.
      PubDate: 2022-05-09
       
  • Must the Spectrum of a Random Schrödinger Operator Contain an
           Interval'

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      Abstract: We consider Schrödinger operators in \(\ell ^2({\mathbb Z})\) whose potentials are given by independent (not necessarily identically distributed) random variables. We ask whether it is true that almost surely its spectrum contains an interval. We provide an affirmative answer in the case of random potentials given by a sum of a perturbatively small quasi-periodic potential with analytic sampling function and Diophantine frequency vector and a term of Anderson type, given by independent identically distributed random variables (with some small-gap assumption for the support of the single-site distribution). The proof proceeds by extending a result about the presence of ground states for atypical realizations of the classical Anderson model, which we prove here as well and which appears to be new.
      PubDate: 2022-05-09
       
  • A GLSM View on Homological Projective Duality

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      Abstract: Given a gauged linear sigma model (GLSM) \({\mathcal {T}}_{X}\) realizing a projective variety X in one of its phases, i.e. its quantum Kähler moduli has a geometric point, we propose an extended GLSM \({\mathcal {T}}_{{\mathcal {X}}}\) realizing the homological projective dual category \({\mathcal {C}}\) to \(D^{b}Coh(X)\) as the category of B-branes of the Higgs branch of one of its phases. In most of the cases, the models \({\mathcal {T}}_{X}\) and \({\mathcal {T}}_{{\mathcal {X}}}\) are anomalous and the analysis of their Coulomb and mixed Coulomb-Higgs branches gives information on the semiorthogonal/Lefschetz decompositions of \({\mathcal {C}}\) and \(D^{b}Coh(X)\) . We also study the models \({\mathcal {T}}_{X_{L}}\) and \({\mathcal {T}}_{{\mathcal {X}}_{L}}\) that correspond to homological projective duality of linear sections \(X_{L}\) of X. This explains why, in many cases, two phases of a GLSM are related by homological projective duality. We study mostly abelian examples: linear and Veronese embeddings of \({\mathbb {P}}^{n}\) and Fano complete intersections in \({\mathbb {P}}^{n}\) . In such cases, we are able to reproduce known results as well as produce some new conjectures. In addition, we comment on the construction of the HPD to a nonabelian GLSM for the Plücker embedding of the Grassmannian G(k, N).
      PubDate: 2022-05-08
       
  • The Generalized Langevin Equation in Harmonic Potentials: Anomalous
           Diffusion and Equipartition of Energy

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      Abstract: Abstract We consider the generalized Langevin equation (GLE) in a harmonic potential with power law decay memory. We study the anomalous diffusion of the particle’s displacement and velocity. By comparison with the free particle situation in which the velocity was previously shown to be either diffusive or subdiffusive, we find that, when trapped in a harmonic potential, the particle’s displacement may either be diffusive or superdiffusive. Under slightly stronger assumptions on the memory kernel, namely, for kernels related to the broad class of completely monotonic functions, we show that both the free particle and the harmonically bounded GLE satisfy the equipartition of energy condition. This generalizes previously known results for the GLE under particular kernel instances such as the generalized Rouse kernel or (exactly) a power law function.
      PubDate: 2022-05-05
       
  • Uniform Structural Stability of Hagen–Poiseuille Flows in a Pipe

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      Abstract: Abstract In this paper, we prove the uniform nonlinear structural stability of Hagen–Poiseuille flows with arbitrary fluxes in the axisymmetric case in an infinitely long pipe. This uniform nonlinear structural stability is the first step to study Liouville type property for steady solutions of Navier–Stokes system in a pipe, which may play an important role in proving the existence of solutions with arbitrary flux to steady Navier–Stokes system in a nozzle with Poiseuille flows as far field asymptotic states (Leray’s problem). A key step is the a priori estimate for the associated linearized problem for Navier–Stokes system around Hagen–Poiseuille flows. The linear structural stability is established as a consequence of elaborate analysis on the governing equation for the partial Fourier transform of the stream function. The uniform estimates are obtained based on the analysis for the solutions with different fluxes and frequencies. One of the most involved cases is to analyze the solutions with large flux and intermediate frequency, where the boundary layer analysis plays a crucial role.
      PubDate: 2022-05-03
       
  • Perturbative Symmetry Approach for Differential–Difference Equations

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      Abstract: Abstract We propose a new method to tackle the integrability problem for evolutionary differential–difference equations of arbitrary order. It enables us to produce necessary integrability conditions, to determine whether a given equation is integrable or not, and to advance in classification of integrable equations. We define and develop symbolic representation for the difference polynomial ring, difference operators and formal series. In order to formulate necessary integrability conditions, we introduce a novel quasi-local extension of the difference ring. We apply the developed formalism to solve the classification problem of integrable equations for anti-symmetric quasi-linear equations of order \((-3,3)\) and produce a list of 17 equations satisfying the necessary integrability conditions. For every equation from the list we present an infinite family of integrable higher order relatives. Some of the equations obtained are new.
      PubDate: 2022-05-03
       
  • Modular Structure of the Weyl Algebra

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      Abstract: Abstract We study the modular Hamiltonian associated with a Gaussian state on the Weyl algebra. We obtain necessary/sufficient criteria for the local equivalence of Gaussian states, independently of the classical results by Araki and Yamagami, Van Daele, Holevo. We also present a criterion for a Bogoliubov automorphism to be weakly inner in the GNS representation. The main application of our analysis is the description of the vacuum modular Hamiltonian associated with a time-zero interval in the scalar, massive, free QFT in two spacetime dimensions, thus complementing the recent results in higher space dimensions (Longo and Morsella in The massive modular Hamiltonian. arXiv:2012.00565). In particular, we have the formula for the local entropy of a one-dimensional Klein–Gordon wave packet and Araki’s vacuum relative entropy of a coherent state on a double cone von Neumann algebra. Besides, we derive the type \({III}_1\) factor property. Incidentally, we run across certain positive selfadjoint extensions of the Laplacian, with outer boundary conditions, seemingly not considered so far.
      PubDate: 2022-05-01
       
  • Metastability for Glauber Dynamics on the Complete Graph with Coupling
           Disorder

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      Abstract: Abstract Consider the complete graph on n vertices. To each vertex assign an Ising spin that can take the values \(-1\) or \(+1\) . Each spin \(i \in [n]=\{1,2,\dots , n\}\) interacts with a magnetic field \(h \in [0,\infty )\) , while each pair of spins \(i,j \in [n]\) interact with each other at coupling strength \(n^{-1} J(i)J(j)\) , where \(J=(J(i))_{i \in [n]}\) are i.i.d. non-negative random variables drawn from a probability distribution with finite support. Spins flip according to a Metropolis dynamics at inverse temperature \(\beta \in (0,\infty )\) . We show that there are critical thresholds \(\beta _c\) and \(h_c(\beta )\) such that, in the limit as \(n\rightarrow \infty \) , the system exhibits metastable behaviour if and only if \(\beta \in (\beta _c, \infty )\) and \(h \in [0,h_c(\beta ))\) . Our main result is a sharp asymptotics, up to a multiplicative error \(1+o_n(1)\) , of the average crossover time from any metastable state to the set of states with lower free energy. We use standard techniques of the potential-theoretic approach to metastability. The leading order term in the asymptotics does not depend on the realisation of J, while the correction terms do. The leading order of the correction term is \(\sqrt{n}\) times a centred Gaussian random variable with a complicated variance depending on \(\beta ,h\) , on the law of J and on the metastable state. The critical thresholds \(\beta _c\) and \(h_c(\beta )\) depend on the law of J, and so does the number of metastable states. We derive an explicit formula for \(\beta _c\) and identify some properties of \(\beta \mapsto h_c(\beta )\) . Interestingly, the latter is not necessarily monotone, meaning that the metastable crossover may be re-entrant.
      PubDate: 2022-05-01
       
  • Recovery of a Cubic Non-linearity in the Wave Equation in the Weakly
           Non-linear Regime

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      Abstract: Abstract We study the inverse problem of recovery a compactly supported non-linearity in the semilinear wave equation \(u_{tt}-\Delta u+ \alpha (x) u ^2u=0\) , in two and three dimensions. We probe the medium with complex-valued harmonic waves of wavelength h and amplitude \(h^{-1/2}\) , then they propagate in the weakly non-linear regime; and measure the transmitted wave when it exits \({{\,\mathrm{supp}\,}}\alpha \) . We show that one can extract the Radon transform of \(\alpha \) from the phase shift of such waves, and then one can recover \(\alpha \) . We also show that one can probe the medium with real-valued harmonic waves and obtain uniqueness for the linearized problem.
      PubDate: 2022-05-01
       
  • Archimedes’ Principle for Ideal Gas

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      Abstract: Abstract We prove Archimedes’ principle for a macroscopic ball in ideal gas consisting of point particles with non-zero mass. The main result is an asymptotic theorem, as the number of point particles goes to infinity and their total mass remains constant. We also show that, asymptotically, the gas has an exponential density as a function of height. We find the asymptotic inverse temperature of the gas. We derive an accurate estimate of the volume of the phase space using the local central limit theorem.
      PubDate: 2022-05-01
       
  • Completeness of Wronskian Bethe Equations for Rational $${\mathfrak
           {\mathfrak {gl}}_{{{\mathsf {m}}} {{\mathsf {n}}}}}$$ gl m n Spin Chains

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      Abstract: Abstract We consider rational integrable supersymmetric \({\mathfrak {\mathfrak {gl}}_{{{\mathsf {m}}} {{\mathsf {n}}}}}\) spin chains in the defining representation and prove the isomorphism between a commutative algebra of conserved charges (the Bethe algebra) and a polynomial ring (the Wronskian algebra) defined by functional relations between Baxter Q-functions that we call Wronskian Bethe equations. These equations, in contrast to standard nested Bethe equations, admit only physical solutions for any value of inhomogeneities and furthermore we prove that the algebraic number of solutions to these equations is equal to the dimension of the spin chain Hilbert space (modulo relevant symmetries). Both twisted and twist-less periodic boundary conditions are considered, the isomorphism statement uses, as a sufficient condition, that the spin chain inhomogeneities \({{\theta }_{\ell }}\) , \(\ell =1,\ldots ,L\) satisfy \({{\theta }_{\ell }}+\hbar \ne {{\theta }_{\ell '}}\) for \(\ell <\ell '\) . Counting of solutions is done in two independent ways: by computing a character of the Wronskian algebra and by explicitly solving the Bethe equations in certain scaling regimes supplemented with a proof that the algebraic number of solutions is the same for any value of \(\theta _\ell \) . In particular, we consider the regime \(\theta _{\ell +1}/\theta _{\ell }\gg 1\) for the twist-less chain where we succeed to provide explicit solutions and their systematic labelling with standard Young tableaux.
      PubDate: 2022-05-01
       
  • Construction of Eigenfunctions for the Elliptic Ruijsenaars Difference
           Operators

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      Abstract: Abstract We present a perturbative construction of two kinds of eigenfunctions of the commuting family of difference operators defining the elliptic Ruijsenaars system. The first kind corresponds to elliptic deformations of the Macdonald polynomials, and the second kind generalizes asymptotically free eigenfunctions previously constructed in the trigonometric case. We obtain these eigenfunctions as infinite series which, as we show, converge in suitable domains of the variables and parameters. Our results imply that, for the domain where the elliptic Ruijsenaars operators define a relativistic quantum mechanical system, the elliptic deformations of the Macdonald polynomials provide a family of orthogonal functions with respect to the pertinent scalar product.
      PubDate: 2022-05-01
       
  • Continuous-Variable Nonlocality and Contextuality

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      Abstract: Abstract Contextuality is a non-classical behaviour that can be exhibited by quantum systems. It is increasingly studied for its relationship to quantum-over-classical advantages in informatic tasks. To date, it has largely been studied in discrete-variable scenarios, where observables take values in discrete and usually finite sets. Practically, on the other hand, continuous-variable scenarios offer some of the most promising candidates for implementing quantum computations and informatic protocols. Here we set out a framework for treating contextuality in continuous-variable scenarios. It is shown that the Fine–Abramsky–Brandenburger theorem extends to this setting, an important consequence of which is that Bell nonlocality can be viewed as a special case of contextuality, as in the discrete case. The contextual fraction, a quantifiable measure of contextuality that bears a precise relationship to Bell inequality violations and quantum advantages, is also defined in this setting. It is shown to be a non-increasing monotone with respect to classical operations that include binning to discretise data. Finally, we consider how the contextual fraction can be formulated as an infinite linear program. Through Lasserre relaxations, we are able to express this infinite linear program as a hierarchy of semi-definite programs that allow to calculate the contextual fraction with increasing accuracy.
      PubDate: 2022-05-01
       
 
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