Asymptotics of the determinant of the modified Bessel functions and the second Painlev\'e equationIn the paper, we consider the extended Gross-Witten-Wadia unitary matrix model by introducing a logarithmic term in the potential. The partition function of the model can be expressed equivalently in…Yu Chen, Shuai-Xia Xu, Yu-Qiu Zhao·Feb 17, 2024SaveLearn
On the Fredholm determinant of the confluent hypergeometric kernel with discontinuitiesWe consider the determinantal point process with the confluent hypergeometric kernel. This process is a universal point process in random matrix theory and describes the distribution of eigenvalues…Shuai-Xia Xu, Shu-Quan Zhao, Yu-Qiu Zhao·Feb 17, 2024SaveLearn
Thermodynamically consistent Cahn-Hilliard-Navier-Stokes equations using the metriplectic dynamics formalismCahn-Hilliard-Navier-Stokes (CHNS) systems describes flows with two-phases, e.g., a liquid with bubbles. Obtaining constitutive relations for general dissipative processes for such a systems, which…Azeddine Zaidni, Philip J Morrison, Saad Benjelloun·Feb 16, 2024SaveLearn
Non-Linear Stability of Spherical Systems in MONDWe prove the non-linear stability of a large class of spherically symmetric equilibrium solutions of both the collisonless Boltzmann equation and of the Euler equations in MOND. This is the first…Joachim Frenkler·Feb 16, 2024SaveLearn
Euler and Pontryagin currents of the Dirac operatorOn differential manifolds with spinor structure, it is possible to express the Euler and Pontryagin currents in terms of tensors that also appear as source in the Dirac equation. It is hence possible…Luca Fabbri·Feb 15, 2024SaveLearn
Symbolic Solution of Systems of Polynomial Differential Equations Via The Cauchy-Riemann Equations. Applications to Kinetic Differential EquationsThe differential equations of chemical kinetics are systems of nonlinear (polynomial) differential equations, therefore their solutions cannot usually be found in symbolic form. Here we offer a…Kelvin Kiprono, János Tóth·Feb 15, 2024SaveLearn
Three-state p-SOS models on binary Cayley treesWe consider a version of the solid-on-solid model on the Cayley tree of order two in which vertices carry spins of value 0,1 or 2 and the pairwise interaction of neighboring vertices is given by…Benedikt Jahnel, Utkir Rozikov·Feb 15, 2024SaveLearn
1D Landau-Ginzburg Superpotential of Big Quantum Cohomology of CP2Using the inverse period map of the Gauss-Manin connection associated with QH*(CP2) and the Dubrovin construction of Landau-Ginzburg superpotential for Dubrovin-Frobenius…Guilherme F. Almeida·Feb 14, 2024SaveLearn
On the thermodynamic limit of two-times measurement entropy productionWe provide a justification, via the thermodynamic limit, of the modular formula for entropy production in two-times measurement proposed in [Benoist, Bruneau, Jaksi\'c, Panati and Pillet: Lett.…Tristan Benoist, Laurent Bruneau, Vojkan Jakšić et al.·Feb 14, 2024SaveLearn
Mean eigenvector self-overlap in the real and complex elliptic Ginibre ensembles at strong and weak non-HermiticityWe study the mean diagonal overlap of left and right eigenvectors associated with complex eigenvalues in N× N non-Hermitian random Gaussian matrices. In well known works by Chalker and Mehlig…Mark J. Crumpton, Yan V. Fyodorov, Tim R. Würfel·Feb 14, 2024SaveLearn
The Racah Algebra of Rank 2: Properties, Symmetries and RepresentationThe goals of this paper are threefold. First, we provide a new ''universal'' definition for the Racah algebra of rank 2 as an extension of the rank-1 Racah algebra where the generators are indexed by…Sarah Post, Sébastien Bertrand·Feb 14, 2024SaveLearn
Extended symmetry analysis of (1+2)-dimensional fine Kolmogorov backward equationWithin the class of (1+2)-dimensional ultraparabolic linear equations, we distinguish a fine Kolmogorov backward equation with a quadratic diffusivity. Modulo the point equivalence, it is a unique…Serhii D. Koval, Roman O. Popovych·Feb 13, 2024SaveLearn
Dimers and M-CurvesIn this paper we develop a general approach to dimer models analogous to Krichever's scheme in the theory of integrable systems. We start with a Riemann surface and the simplest generic meromorphic…Alexander I. Bobenko, Nikolai Bobenko, Yuri B. Suris·Feb 13, 2024SaveLearn
Entanglement of vortices in the Ginzburg--Landau equations for superconductorsIn 1988, Nelson proposed that neighboring vortex lines in high-temperature superconductors may become entangled with each other. In this article we construct solutions to the Ginzburg--Landau…Alberto Enciso, Daniel Peralta-Salas·Feb 13, 2024SaveLearn
Ground state energy of dense gases of strongly interacting fermionsWe study the ground state energy of a gas of N fermions confined to a unit box in d dimensions. The particles interact through a 2-body potential with strength scaled in an N-dependent way as…Søren Fournais, Błażej Ruba, Jan Philip Solovej·Feb 13, 2024SaveLearn
Hitchin systems: some recent advancesA survey of some recent advances in parabolic Hitchin systems (parabolic Bouville--Narasimhan--Ramanan correspondence, mirror symmetry for parabolic Hitchin systems), and in exact methods of solving…O. K. Sheinman, Bin Wang·Feb 13, 2024SaveLearn
Inverse parameter and shape problem for an isotropic scatterer with two conductivity coefficientsIn this paper, we consider the direct and inverse problem for isotropic scatterers with two conductive boundary conditions. First, we show the uniqueness for recovering the coefficients from the…Rafael Ceja Ayala, Isaac Harris, Andreas Kleefeld·Feb 12, 2024SaveLearn
Canonical Lifts in Multisymplectic De Donder-Weyl Hamiltonian Field TheoriesIn this paper, we define canonical lifts of vector fields to the multisymplectic multimomentum bundles of De Donder-Weyl Hamiltonian first-order field theories and to the appropriate…Arnoldo Guerra, Narciso Román-Roy·Feb 12, 2024SaveLearn
Spin orbit resonance cascade via core shell model. Application to Mercury and GanymedeWe discuss a model describing the spin orbit resonance cascade. We assume that the primary has a two-layer (core-shell) structure: it is composed by a thin solid crust and an inner and heavier solid…Pinzari Gabriella, Scoppola Benedetto, Veglianti Matteo·Feb 12, 2024SaveLearn
Spectral transform for the Ising modelWe prove a correspondence between Ising models in a torus and the algebro-geometric data of a Harnack curve with a certain symmetry and a point in the real part of its Prym variety, extending the…Terrence George·Feb 12, 2024SaveLearn
Equivalence of the staggered fermion Hamiltonan and the discrete Hodge-Dirac operator on square latticesWe show that the free massless staggered fermion (or the KS-fermion) Hamiltonian is equivalent to a discrete Hodge-Dirac operator on the d-dimensional square lattice hZd. In fact, they…Shu Nakamura·Feb 11, 2024SaveLearn
Modeling of fluid-rigid body interaction in an electrically conducting fluidWe derive a mathematical model for the motion of several insulating rigid bodies through an electrically conducting fluid. Starting from a universal model describing this phenomenon in generality, we…Jan Scherz, Anja Schlömerkemper·Feb 10, 2024SaveLearn
Geometric flavours of Quantum Field theory on a Cauchy hypersurface. Part II: Methods of quantization and evolutionIn this series of papers we aim to provide a mathematically comprehensive framework to the Hamiltonian pictures of quantum field theory in curved spacetimes. Our final goal is to study the kinematics…José Luis Alonso, Carlos Bouthelier-Madre, Jesús Clemente-Gallardo et al.·Feb 10, 2024SaveLearn
Radiative transport in a periodic structure with band crossingsWe use the Wigner transformation and asymptotic analysis to systematically derive the semi-classical model for the Schr\"odinger equation in arbitrary spatial dimensions, with any periodic…Kunlun Qi, Li Wang, Alexander B. Watson·Feb 9, 2024SaveLearn
Spectral properties of the Dirichlet-to-Neumann operator for spheroidsWe study the spectral properties of the Dirichlet-to-Neumann operator and the related Steklov problem in spheroidal domains ranging from a needle to a disk. An explicit matrix representation of this…Denis S. Grebenkov·Feb 9, 2024SaveLearn