Thermal effects connected to crystallization dynamics: a lattice Boltzmann studyThe possible impact of temperature differences during crystal growth is investigated in this study. The organic molecule considered is mandelic acid, an important component for the pharmaceutical…Q. Tan, S. A. Hosseini, A. Seidel-Morgenstern et al.·Jun 2, 2023SaveLearn
A Note on BKP for the Kontsevich Matrix Model with Arbitrary PotentialWe exhibit the Kontsevich matrix model with arbitrary potential as a BKP tau-function with respect to polynomial deformations of the potential. The result can be equivalently formulated in terms of…Gaëtan Borot, Raimar Wulkenhaar·Jun 2, 2023SaveLearn
Boundary conditions and universal finite-size scaling for the hierarchical ||4 model in dimensions 4 and higherWe analyse and clarify the finite-size scaling of the weakly-coupled hierarchical n-component ||4 model for all integers n 1 in all dimensions d 4, for both free and periodic…Emmanuel Michta, Jiwoon Park, Gordon Slade·Jun 1, 2023SaveLearn
A sparse approximation of the Lieb functional with moment constraintsThe aim of this paper is to present new sparsity results about the so-called Lieb functional, which is a key quantity in Density Functional Theory for electronic structure calculations of molecules.…Virginie Ehrlacher, Luca Nenna·Jun 1, 2023SaveLearn
Expanding the Fourier transform of the scaled circular Jacobi β ensemble densityThe family of circular Jacobi β ensembles has a singularity of a type associated with Fisher and Hartwig in the theory of Toeplitz determinants. Our interest is in the Fourier transform of the…Peter J. Forrester, Bo-Jian Shen·Jun 1, 2023SaveLearn
Anderson localized states for the quasi-periodic nonlinear wave equation on ZdWe establish large sets of Anderson localized states for the quasi-periodic nonlinear wave equation on Zd, thus extending nonlinear Anderson localization from the random BW08 to a…Yunfeng Shi, W. -M. Wang·Jun 1, 2023SaveLearn
On stability of solitons for 3D Maxwell-Lorentz equations with spinning particleWe consider stability of solitons of 3D Maxwell--Lorentz system with extended charged spinning particle.The solitons are solutions which correspond to a particle moving with a constant velocity…Alexander Komech, Elena Kopylova·Jun 1, 2023SaveLearn
Gauge theory for mixed p-spin glassesPhysical quantities in the mixed p-spin glasses are evaluated with Nishimori's gauge theory and several variance inequalities. The Z2-symmetry breaking and the replica-symmetry breaking…C. Itoi, Y. Sakamoto·Jun 1, 2023SaveLearn
Topological Classification of Insulators: I. Non-interacting Spectrally-Gapped One-Dimensional SystemsWe study non-interacting electrons in disordered one-dimensional materials which exhibit a spectral gap, in each of the ten Altland-Zirnbauer symmetry classes. We define an appropriate topology on…Jui-Hui Chung, Jacob Shapiro·Jun 1, 2023SaveLearn
Six lectures on Geometric QuantizationThese are the lecture notes for a short course on geometric quantization given by the author at the XVIII Modave Summer School on Mathematical Physics, Sep 5 - Sep 9.Konstantin Wernli·May 31, 2023SaveLearn
Central limit theorem for the overlaps on the Nishimori lineThe overlap distribution of the Sherrington-Kirkpatrick model on the Nishimori line has been proved to be self averaging for large volumes. Here we study the joint distribution of the rescaled…Francesco Camilli, Pierluigi Contucci, Emanuele Mingione·May 31, 2023SaveLearn
Generalised unitary group integrals of Ingham-Siegel and Fisher-Hartwig typeWe generalise well-known integrals of Ingham-Siegel and Fisher-Hartwig type over the unitary group U(N) with respect to Haar measure, for finite N and including fixed external matrices. When…Gernot Akemann, Noah Aygün, Tim R. Würfel·May 31, 2023SaveLearn
Infinite order differential operators associated with superoscillations in the half-plane barrierSuperoscillations are a phenomenon in physics, where linear combinations of low-frequency plane waves interfere almost destructively in such a way that the resulting wave has a higher frequency than…Peter Schlosser·May 31, 2023SaveLearn
Boundedness of Susceptibility in Spin Glass Transition of Transverse Field Mixed p-spin Glass ModelsSpontaneous symmetry breaking phenomena in the transverse field mixed p-spin glass model in finite dimensions are studied with Nishimori's gauge theory. Useful identities in the gauge theory enable…Chigak Itoi, Yoshinori Sakamoto·May 31, 2023SaveLearn
On the Wasserstein distance and the Dobrushin uniqueness theoremIn this paper, we revisit the Dobrushin uniqueness theorem for Gibbs measures of lattice systems of interacting particles at thermal equilibrium. In a nutshell, Dobrushin's uniqueness theorem…Tony C. Dorlas, Baptiste Savoie·May 30, 2023SaveLearn
Upper bound for the grand canonical free energy of the Bose gas in the Gross-Pitaevskii limitWe consider a homogeneous Bose gas in the Gross-Pitaevskii limit at temperatures that are comparable to the critical temperature for Bose-Einstein condensation in the ideal gas. Our main result is an…Chiara Boccato, Andreas Deuchert, David Stocker·May 30, 2023SaveLearn
Madelung transform and variational asymptotics in Born-Oppenheimer molecular dynamicsWhile Born-Oppenheimer molecular dynamics (BOMD) has been widely studied by resorting to powerful methods in mathematical analysis, this paper presents a geometric formulation in terms of Hamilton's…Paul Bergold, Cesare Tronci·May 30, 2023SaveLearn
Bose-Einstein condensation of interacting bosons: A two-step proofWe prove two equilibrium properties of a system of interacting atoms in three or higher dimensional continuous space. (i) If the particles interact via pair potentials of a nonnegative Fourier…Andras Suto·May 30, 2023SaveLearn
The Surface counter-terms of the φ44 theory on the half space R+ ×R3In a previous work, we established perturbative renormalizability to all orders of the massive φ44-theory on a half-space also called the semi-infinite massive φ44-theory. Five…Majdouline Borji, Christoph Kopper·May 30, 2023SaveLearn
Hankel Determinants for a Gaussian weight with Fisher-Hartwig Singularities and Generalized Painlev\'e IV EquationWe study the Hankel determinant generated by a Gaussian weight with Fisher-Hartwig singularities of root type at tj, j=1,·s ,N. It characterizes a type of average characteristic polynomial…Xinyu Mu, Shulin Lyu·May 30, 2023SaveLearn
Jacobi structure for dissipative mechanical systems on Lie AlgebroidsWe extend the Jacobi structure from TQ× R and T*Q × R to A× R and A*× R, respectively, where A is a Lie algebroid and A*…Alexandre Anahory Simoes, Leonardo Colombo, Manuel de Leon et al.·May 30, 2023SaveLearn
Chern-Simons field theory on the general affine group, 3d-gravity and the extension of Cartan connectionsThe purpose of this article is to study the correspondence between 3d-gravity and the Chern-Simons field theory from the perspective of geometric mechanics, specifically in the case where the…Santiago Capriotti·May 30, 2023SaveLearn
On classical Z2 × Z2-graded Lie algebrasWe construct classes of Z2 × Z2-graded Lie algebras corresponding to the classical Lie algebras, in terms of their defining matrices. For the Z2 × Z2-graded Lie algebra of type A,…N. I. Stoilova, J. Van der Jeugt·May 29, 2023SaveLearn
Multi-parameter Fermi-Dirac and Bose-Einstein Stochastic DistributionsIn this paper, we characterize the multivariate uniform probability distribution of the first and second kinds in the framework of the R(p,q)-deformed quantum algebras. Their bivariate…Fridolin Melong, Mahouton Norbert Hounkonnou·May 29, 2023SaveLearn
From incommensurate bilayer heterostructures to Allen-Cahn: An exact thermodynamic limitWe give a complete and rigorous derivation of the mechanical energy for twisted 2D bilayer heterostructures without any approximation beyond the existence of an empirical many-body site energy. Our…Michael Hott, Alexander B. Watson, Mitchell Luskin·May 29, 2023SaveLearn