Interacting Twisted Bilayer Graphene with Systematic Modeling of Structural RelaxationTwisted bilayer graphene (TBG) has drawn significant interest due to recent experiments which show that TBG can exhibit strongly correlated behavior such as the superconducting and correlated…Tianyu Kong, Alexander B. Watson, Mitchell Luskin et al.·Apr 4, 2025SaveLearn
Mathematical physics of dilute Bose gasesWe discuss recent progress in the mathematical analysis of dilute Bose gases. We review results in one to three dimensions, but the focus will be on three dimensions. In all dimensions we have a two…Jan Philip Solovej·Apr 4, 2025SaveLearn
On a generalized principle of fractal stiffness self-similarityThe principle of fractal stiffness self-similarity is expanded to encompass structures with several differently-scaled contributors to the total stiffness matrix. The generalized principle is applied…Marcelo Epstein·Apr 3, 2025SaveLearn
The Spear and the Ring: Emergent Structures in Magnetic Colloidal SuspensionsWe study from a mathematical point of view the nanoparticle model of a magnetic colloid, presented by G. Klughertz. Our objective is to obtain properties of stable stationary structures that arise in…Raphaël Côte, Clémentine Courtès, Guillaume Ferrière et al.·Apr 3, 2025SaveLearn
Double groupoids of composites: applications to uniformityIn this paper we present a geometrical framework to study the uniformity of a composite material by means of double groupoid theory. The notions of vertical and horizontal uniformity are introduced,…V. M. Jiménez, M. De León, M. Epstein·Apr 3, 2025SaveLearn
Solvable Structures for Hamiltonian SystemsIn this paper, we investigate solvable structures associated to Hamiltonian equations. For a completely integrable Hamiltonian system with n degrees of freedom, we construct a canonical solvable…Sasa Kresic-Juric, Concepcion Muriel, Adrian Ruiz·Apr 3, 2025SaveLearn
Deformations of the Riemann hierarchy and the geometry of Mg,nThe Riemann hierarchy is the simplest example of rank one, (1+1)-dimensional integrable system of nonlinear evolutionary PDEs. It corresponds to the dispersionless limit of the Korteweg-de Vries…Alexandr Buryak, Paolo Rossi·Apr 2, 2025SaveLearn
On the mean-field limit for the Vlasov-Poisson systemWe present a probabilistic proof of the mean-field limit and propagation of chaos of a classical N-particle system in three dimensions with Coulomb interaction force of the form…Manuela Feistl-Held, Peter Pickl·Apr 2, 2025SaveLearn
The N-Body Problem on Coadjoint OrbitsWe show (Theorem 3) that the symplectic reduction of the spatial n-body problem at non-zero angular momentum is a singular symplectic space consisting of two symplectic strata, one for spatial…Holger Dullin, Richard Montgomery·Apr 2, 2025SaveLearn
A model and characterization of a class of symmetric semibounded operatorsLet G be a Hilbert space and B( G) the algebra of bounded operators, H=L2([0,∞); G). An operator-valued function $Q∈ L∞,…M. I. Belishev, S. A. Simonov·Apr 1, 2025SaveLearn
The contact Eden bracket and the evolution of observablesIn this paper we discuss nonholonomic contact Lagrangian and Hamiltonian systems, that is, systems with a kind of dissipation that are also subject to nonholonomic constraints. We introduce the…V. M. Jiménez, M. De León·Apr 1, 2025SaveLearn
Periodic Motzkin chain: Ground states and symmetriesMotzkin chain is a model of nearest-neighbor interacting quantum s=1 spins with open boundary conditions. It is known that it has a unique ground state which can be viewed as a sum of Motzkin…Andrei G. Pronko·Apr 1, 2025SaveLearn
Non-abelian higher form symmetryHigher form symmetry, one of the generalized symmetries, primarily involves the action of abelian groups. This is, due to the topological nature of symmetry defect operators. In this study, we extend…Natsuya Kido·Apr 1, 2025SaveLearn
Dynamical Similarity in Higher-Order Classical Symplectic SystemsMany theories of physical interest, which admit a Hamiltonian description, exhibit symmetries under a particular class of non - strictly canonical transformation, known as dynamical similarities. The…Callum Bell, David Sloan·Apr 1, 2025SaveLearn
Wall-crossing phenomenon for the liquid bin modelWe introduce the liquid bin model as a continuous-time deterministic dynamics, arising as the hydrodynamic limit of a discrete-time stochastic interacting particle system called the infinite bin…Sanjay Ramassamy, Benjamin Terlat·Apr 1, 2025SaveLearn
An operator approach to the analysis of electromagnetic wave propagation in dispersive media. Part 1: general resultsWe investigate in this chapter the mathematical models for electromagnetic wave propagation in dispersive isotropic passive linear media for which the dielectric permittivity and…Maxence Cassier, Patrick Joly·Mar 31, 2025SaveLearn
An operator approach to the analysis of electromagnetic wave propagation in dispersive media. Part 2: transmission problemsIn this second chapter, we analyse transmission problems between a dielectric and a dispersive negative material. In the first part, we consider a transmission problem between two half-spaces, filled…Maxence Cassier, Patrick Joly·Mar 31, 2025SaveLearn
Surface-Polyconvex Models for Soft Elastic SolidsSoft solids with surface energy exhibit complex mechanical behavior, necessitating advanced constitutive models to capture the interplay between bulk and surface mechanics. This interplay has…Martin Horák, Michal Šmejkal, Martin Kružík·Mar 31, 2025SaveLearn
Adjoint-based optimization of the Rayleigh-B\'enard instability with melting boundaryIn this work, we propose an adjoint-based optimization procedure to control the onset of the Rayleigh-B\'enard instability with a melting front. A novel cut cell method is used to solve the…Tomas Fullana, Alejandro Quirós Rodríguez, Vincent Le Chenadec et al.·Mar 31, 2025SaveLearn
Spherical Harmonic OscillatorsA linear quantum harmonic oscillator factors into one dimensional oscillators and can be solved using creation and annihilation operators. We consider a spherical analogue. This analogue does not…Van Higgs, Doug Pickrell·Mar 30, 2025SaveLearn
Convergent Power Series for Anharmonic Chain with Periodic ForcingWe study the propagation of energy in one-dimensional anharmonic chains subject to a periodic, localized forcing. For the purely harmonic case, forcing frequencies outside the linear spectrum produce…Pedro L. Garrido, Tomasz Komorowski, Joel L. Lebowitz et al.·Mar 30, 2025SaveLearn
p-Adic Polynomial Regression as Alternative to Neural Network for Approximating p-Adic Functions of Many VariablesA method for approximating continuous functions Zpn→Zp by a linear superposition of continuous functions Zp→Zp is presented…Alexander P. Zubarev·Mar 30, 2025SaveLearn
Scattering of transient waves by an interface with time-modulated jump conditionsTime modulation of the physical parameters offers interesting new possibilities for wave control. Examples include amplification of waves, harmonic generation and non-reciprocity, without resorting…Michaël Darche, Raphaël Assier, Sébastien Guenneau et al.·Mar 29, 2025SaveLearn
Glued tree lattices with only compact localized statesFlat band physics is a central theme in modern condensed matter physics. By constructing a tight--binding single particle system that has vanishing momentum dispersion in one or more bands, and…Andrew Osborne, Ciro Salcedo, Andrew A. Houck·Mar 28, 2025SaveLearn
R-matrix valued Lax pair for elliptic Calogero-Inozemtsev system and associative Yang-Baxter equations of BCn typeWe consider the elliptic Calogero-Inozemtsev system of BCn type with five arbitrary constants and propose R-matrix valued generalization for 2n× 2n Takasaki's Lax pair. For this…M. Matushko, A. Mostovskii, A. Zotov·Mar 28, 2025SaveLearn