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We consider the Navier--Stokes equations for compressible heat-conducting ideal polytropic gases in a bounded annular domain when the viscosity and thermal conductivity coefficients are general smooth functions of temperature. A…

Analysis of PDEs · Mathematics 2020-09-24 Ling Wan , Tao Wang

We prove that if a subset X of the integer Cartesian plane weakly self-assembles at temperature 1 in a deterministic (Winfree) tile assembly system satisfying a natural condition known as *pumpability*, then X is a finite union of doubly…

Computational Complexity · Computer Science 2009-06-18 David Doty , Matthew J. Patitz , Scott M. Summers

We present for smooth non-oscillating backgrounds an analytic formula which calculates the energy density of massive and massless particles created via gravitational particle production, thus giving the corresponding reheating temperature.…

General Relativity and Quantum Cosmology · Physics 2023-03-09 Jaume de Haro , Llibert Aresté Saló

Collective X-ray Thomson scattering has become a versatile tool for the diagnostics of dense plasmas. Assuming homogeneous density and temperature throughout the target sample, these parameters can be determined directly from the plasmon…

In the contact-geometric formulation of classical thermodynamics distinction is made between the energy and entropy representation, which can be resolved by taking homogeneous coordinates for the intensive variables. This results in a…

Mathematical Physics · Physics 2021-09-22 Arjan van der Schaft

Hutchinson, Richter and Seymour [J. Combin. Theory Ser. B 84 (2002), 225-239] showed that every Eulerian triangulation of an orientable surface that has a sufficiently high representativity is 4-colorable. We give an explicit bound on the…

Combinatorics · Mathematics 2024-10-01 Marcin Brianski , Daniel Kral , Ander Lamaison , Xichao Shu

Deriving exact density functions for Gibbs point processes has been challenging due to their general intractability, stemming from the intractability of their normalising constants/partition functions. This paper offers a solution to this…

Probability · Mathematics 2024-06-12 Ottmar Cronie

We find exact solutions to a new one-dimensional (1D) interacting particle theory and apply the results to the adsorption and wrapping of polymers (such as DNA) around protein particles (such as histones). Each adsorbed protein is…

Soft Condensed Matter · Physics 2015-06-24 Tom Chou

A method for computing the thermopower in interacting systems is proposed. This approach, which relies on Monte Carlo simulations, is illustrated first for a diatomic chain of hard-point elastically colliding particles and then in the case…

Statistical Mechanics · Physics 2015-10-01 Shunda Chen , Jiao Wang , Giulio Casati , Giuliano Benenti

We present a detailed study of the real-time dynamics and spectral properties of the one-dimensional fermionic Hubbard model at infinite temperature. Using tensor network simulations in Liouville space, we compute the single-particle…

Strongly Correlated Electrons · Physics 2025-09-26 Cătălin Paşcu Moca , Ovidiu I. Patu , Balázs Dóra , Gergely Zaránd

We study in this article how heat can be exchanged between two level systems (TLS) each of them being coupled to a thermal reservoir. Calculation are performed solving a master equation for the density matrix using the Born…

Quantum Physics · Physics 2017-03-08 Karl Joulain , Younes Ezzahri , Jose Ordonez-Miranda

Thermalization (generalized thermalization) in nonintegrable (integrable) quantum systems requires two ingredients: equilibration and agreement with the predictions of the Gibbs (generalized Gibbs) ensemble. We prove that observables that…

Statistical Mechanics · Physics 2023-08-10 Patrycja Łydżba , Marcin Mierzejewski , Marcos Rigol , Lev Vidmar

We investigate uniqueness of solution to the heat equation with a density $\rho$ on complete, non-compact weighted Riemannian manifolds of infinite volume. Our main goal is to identify sufficient conditions under which the solution $u$…

Analysis of PDEs · Mathematics 2025-07-18 Alexander Grigor'yan , Giulia Meglioli , Alberto Roncoroni

The superconducting transition temperature $T_c$ of the two-dimensional attractive Hubbard model is computed in the vicinity of both ordinary (logarithmic) and higher-order (power-law) Van Hove singularities using determinant quantum Monte…

Strongly Correlated Electrons · Physics 2026-04-16 Gustav Romare , Daniel Shaffer , Alex Levchenko , Edwin Huang , Ilya Esterlis

The current paper is devoted to the investigation of the global-in-time stability of large solutions for the full Navier-Stokes-Fourier system in the whole space. Suppose that the density and the temperature are bounded from above uniformly…

Analysis of PDEs · Mathematics 2020-01-06 Lingbing He , Jingchi Huang , Chao Wang

We present finite-temperature, lattice Monte Carlo calculations of the particle number density, compressibility, pressure, and Tan's contact of an unpolarized system of short-range, attractively interacting spin-1/2 fermions in one spatial…

Quantum Gases · Physics 2015-03-18 M. D. Hoffman , P. D. Javernick , A. C. Loheac , W. J. Porter , E. R. Anderson , J. E. Drut

We study a one-dimensional model for heavy particles in a compressible fluid. The fluid-velocity field is modelled by a persistent Gaussian random function, and the particles are assumed to be weakly inertial. Since one-dimensional…

Fluid Dynamics · Physics 2019-08-06 J. Meibohm , B. Mehlig

Despite its importance in geological sciences, our understanding of interactions between gas and condensed phases (comprising solids and liquids) remains clouded by the fact that, often, only indirect evidence remains for their occurrence.…

Earth and Planetary Astrophysics · Physics 2019-02-14 Paolo A. Sossi , Bruce Fegley

The generalized Gibbs free energy and enthalpy is derived in the framework of nonextensive thermodynamics by using the so-called physical temperature and the physical pressure. Some thermodynamical relations are studied by considering the…

Statistical Mechanics · Physics 2015-08-10 Lina Gu , Jiulin Du

Unparticle $\U$ with scaling dimension $d_\U$ has peculiar thermal properties due to its unique phase space structure. We find that the equation of state parameter $\omega_\U$, the ratio of pressure to energy density, is given by $1/(2d_\U…

High Energy Physics - Phenomenology · Physics 2009-03-24 Shao-Long Chen , Xiao-Gang He , Xue-Peng Hu , Yi Liao