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Mathematical Physics papers — page 228

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On Feynman graphs, matroids, and GKZ-systems
We show in several important cases that the A-hypergeometric system attached to a Feynman diagram in Lee--Pomeransky form, obtained by viewing the momenta and the nonzero masses as indeterminates,…
Uli WaltherJun 11, 2022
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Onsager Theory of Turbulence, the Josephson-Anderson Relation, and the D'Alembert Paradox
The Josephson-Anderson relation, valid for the incompressible Navier-Stokes solutions which describe flow around a solid body, instantaneously equates the power dissipated by drag to the flux of…
Hao Quan, Gregory L. EyinkJun 10, 2022
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Inertial Momentum Dissipation for Viscosity Solutions of Euler Equations: External Flow Around a Smooth Body
We study the local balance of momentum for weak solutions of incompressible Euler equations obtained from the zero-viscosity limit in the presence of solid boundaries, taking as an example flow…
Hao Quan, Gregory L. EyinkJun 10, 2022
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Deformation quantisation of the conic and symplectic reduction of wavefunctions
We give a short review of the algebraic procedure known as deformation quantisation, which replaces a commutative algebra with a non-commutative algebra. We use this framework to examine how the…
Michael SwaddleJun 10, 2022
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R(p,q)-deformed super Virasoro n-algebra
In this paper, we construct the super Witt algebra and super Virasoro algebra in the framework of the R(p,q)-deformed quantum algebras. Moreover, we perform the super…
Fridolin MelongJun 10, 2022
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Equivalence of field theories: Crane-Yetter and the shadow
This work solves a 28-year conjecture by showing that two major invariants of smooth 4-manifolds, the shadow model (motivated by statistical mechanics [Tur91]) and the simplicial Crane-Yetter model…
Jin-Cheng GuuJun 9, 2022
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A note on free time evolution of the quantum wave function and optimal transportation
It is shown that, in the absence of nodes and under regularity assumptions, a solution in a finite interval of time of the free Schroedinger equation solves a minimization problem which is a…
Laura M. MoratoJun 9, 2022
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A homological approach to the Gaussian Unitary Ensemble
We study the Gaussian Unitary Ensemble (GUE) using noncommutative geometry and the homological framework of the Batalin-Vilkovisky (BV) formalism. Coefficients of the correlation functions in the GUE…
Owen Gwilliam, Alastair Hamilton, Mahmoud ZeinalianJun 9, 2022
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Symmetries and Casimirs of radial compressible fluid flow and gas dynamics in n>1 dimensions
Symmetries and Casimirs are studied for the Hamiltonian equations of radial compressible fluid flow in n>1 dimensions. An explicit determination of all Lie point symmetries is carried out, from which…
Stephen C. Anco, Sara Seifi, Thomas WolfJun 8, 2022
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Topological T-duality for bundles of strongly self-absorbing C*-algebras and some physical applications
We extend the C-algebraic formalism of Topological T-duality to section algebras of locally trivial bundles of strongly self-absorbing C-algebras and to a larger class of String…
Ashwin S. PandeJun 8, 2022
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Sampling constrained stochastic trajectories using Brownian bridges
We present a new method to sample conditioned trajectories of a system evolving under Langevin dynamics, based on Brownian bridges. The trajectories are conditioned to end at a certain point (or in a…
Patrice Koehl, Henri OrlandJun 8, 2022
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Partially hyperbolic random dynamics on Grassmannians
A sequence of invertible matrices given by a small random perturbation around a fixed diagonal partially hyperbolic matrix induces a random dynamics on the Grassmann manifolds. Under suitable weak…
Joris De Moor, Florian Dorsch, Hermann Schulz-BaldesJun 7, 2022
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A microscopic derivation of Gibbs measures for the 1D focusing cubic nonlinear Schr\"odinger equation
In this paper, we give a microscopic derivation of Gibbs measures for the focusing cubic nonlinear Schr\"odinger equation on the one-dimensional torus from many-body quantum Gibbs states. Since we…
Andrew Rout, Vedran SohingerJun 7, 2022
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IPS/Zeta Correspondence for the Domany-Kinzel model
Previous studies presented zeta functions by the Konno-Sato theorem or the Fourier analysis for one-particle models, including random walks, correlated random walks, quantum walks, and open quantum…
Chusei Kiumi, Norio Konno, Yuki OshimaJun 7, 2022
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A probabilistic representation of the solution to a 1D evolution equation in a medium with negative index
In this work we investigate a 1D evolution equation involving a divergence form operator where the diffusion coefficient inside the divergence is changing sign, as in models for metamaterials.We…
Éric Bonnetier, Pierre Etoré, Miguel MartinezJun 7, 2022
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A theory of composites perspective on matrix valued Stieltjes functions
A series of physically motivated operations appearing in the study of composite materials are interpreted in terms of elementary continued fraction transforms of matrix valued, rational Stieltjes…
Graeme W. Milton, Mihai PutinarJun 6, 2022
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Cosserat micropolar elasticity: classical Eringen vs. dislocation form
In this paper we do a comparative presentation of the linear isotropic Cosserat elastic model from two perspectives: the classical Mindlin-Eringen-Nowacki description in terms of a microrotation…
Ionel-Dumitrel Ghiba, Gianluca Rizzi, Angela Madeo et al.Jun 6, 2022
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Open level lines of a superposition of periodic potentials on a plane
We consider here open level lines of potentials resulting from the superposition of two different periodic potentials on the plane. This problem can be considered as a particular case of the Novikov…
A. Ya. Maltsev, S. P. NovikovJun 4, 2022
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On a Relation among Bi-orthogonal system, Quadratic Non-Hermitian Boson operators with real spectrum and Partial PT symmetry in Fock Space
A new kind of symmetry called partial PT symmetry has been considered for non-hermitian quadratic boson operators obtained from a bi-orthogonal set of vectors in C2. The symmetry behaviour has been…
Arindam ChakrabortyJun 3, 2022
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Columnar order in random packings of 2×2 squares on the square lattice
We study random packings of 2×2 squares with centers on the square lattice Z2, in which the probability of a packing is proportional to λ to the number of squares. We…
Daniel Hadas, Ron PeledJun 2, 2022
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Action of W-type operators on Schur functions and Schur Q-functions
In this paper, we investigate a series of W-type differential operators, which appear naturally in the symmetry algebras of KP and BKP hierarchies. In particular, they include all operators in the…
Xiaobo Liu, Chenglang YangJun 2, 2022
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Quasi-exactly solvable extensions of the Kepler-Coulomb potential on the sphere
We consider a family of extensions of the Kepler-Coulomb potential on a d-dimensional sphere and analyze it in a deformed supersymmetric framework, wherein the starting potential is known to…
C. QuesneJun 2, 2022
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Deformations of modified r-matrices and cohomologies of related algebraic structures
Modified r-matrices are solutions of the modified classical Yang-Baxter equation, introduced by Semenov-Tian-Shansky, and play important roles in mathematical physics. In this paper, first we…
Jun Jiang, Yunhe ShengJun 1, 2022
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Gradient Gibbs measures of an SOS model with alternating magnetism on Cayley trees
The work is devoted to gradient Gibbs measures (GGMs) of a SOS model with countable set Z of spin values and having alternating magnetism on Cayley trees. This model is defined by a…
N. N. Ganikhodjaev, N. M. Khatamov, U. A. RozikovJun 1, 2022
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How environment affects active particle swarms: a case study
We investigate the collective motion of self-propelled agents in an environment filled with obstacles that are tethered to fixed positions via springs. The active particles are able to modify the…
Pierre Degond, Angelika Manhart, Sara Merino-Aceituno et al.Jun 1, 2022
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