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Lattice Boltzmann simulations have been very successful in simulating liquid-gas and other multi-phase fluid systems. However, the underlying second order analysis of the equation of motion has long been known to be insufficient to…

软凝聚态物质 · 物理学 2009-11-11 A. J. Wagner

The dependence of the three lowest order spatial correlation functions of a harmonically confined Bose gas on temperature and interaction strength is presented at equilibrium. Our analysis is based on a stochastic Langevin equation for the…

其他凝聚态物理 · 物理学 2009-11-11 N. P. Proukakis

In this paper we revisit the derivation of boundary conditions for the Boltzmann Equation. The interaction between the wall atoms and the gas molecules within a thin surface layer is described by a kinetic equation introduced in [9] and…

偏微分方程分析 · 数学 2013-06-20 Stéphane Brull , Pierre Charrier , Luc Mieussens

The first-order thermodynamics of scalar-tensor theory is a novel approach that exploits the intriguing relationship between gravity and thermodynamics to better understand the space of gravity theories. It is based on using Eckart's…

广义相对论与量子宇宙学 · 物理学 2023-08-24 Serena Giardino , Andrea Giusti

We study the spatially homogeneous phases of polar active particles in the low density limit, and specifically the transition from the isotropic phase to collective polar motion. We show that the fundamental quantity of interest for the…

软凝聚态物质 · 物理学 2015-11-04 Khanh-Dang Nguyen Thu Lam , Michael Schindler , Olivier Dauchot

We study the kinetic regime of the Bose-condensation of scalar particles with weak $\lambda \phi^4$ self-interaction. The Boltzmann equation is solved numerically. We consider two kinetic stages. At the first stage the condensate is still…

高能物理 - 唯象学 · 物理学 2009-10-28 D. V. Semikoz , I. I. Tkachev

Predicting the thermal conductivity of glasses from first principles has hitherto been a prohibitively complex problem. In fact, past works have highlighted challenges in achieving computational convergence with respect to length and/or…

材料科学 · 物理学 2022-09-23 Michele Simoncelli , Francesco Mauri , Nicola Marzari

The two-dimensional steady-state Boltzmann equation for hard-disk molecules in the presence of a temperature gradient has been solved explicitly to second order in density and the temperature gradient. The two-dimensional equation of state…

统计力学 · 物理学 2009-11-11 Kim Hyeon-Deuk

We consider the existence of steady rarefied flows of polyatomic gas between two parallel condensed phases, where evaporation and condensation processes occur. To this end, we study the existence problem of stationary solutions in a…

偏微分方程分析 · 数学 2025-03-18 Ki-Nam Hong , Marwa Shahine , Seok-Bae Yun

Mass transport of a driven granular binary mixture is analyzed from the inelastic Boltzmann kinetic equation for inelastic Maxwell models (IMM). The mixture is driven by a thermostat constituted by two terms: a stochastic force and a drag…

统计力学 · 物理学 2018-09-18 Nagi Khalil , Vicente Garzó

We study the behavior of an assembly of $N$ granular particles contained in two compartments within a simple kinetic approach. The particles belonging to each compartment collide inelastically with each other and are driven by a stochastic…

统计力学 · 物理学 2009-11-10 U. Marini Bettolo Marconi , A. Puglisi

This paper presents how thermal mean field effects are incorporated consistently in the hydrodynamical modelling of heavy-ion collisions. The nonequilibrium correction to the distribution function resulting from a temperature-dependent mass…

核理论 · 物理学 2018-05-02 Alina Czajka , Sigtryggur Hauksson , Chun Shen , Sangyong Jeon , Charles Gale

In this work we study a r-species mixture of gases within the relativistic kinetic theory point of view. We use the relativistic covariant full Boltzmann equation and we incorporate the Schwarzschild metric. The method of solution of the…

统计力学 · 物理学 2015-09-10 Valdemar Moratto , Gilberto M. Kremer

We consider a system of particles subjected to a uniform external force E and undergoing random collisions with "virtual" fixed obstacles, as in the Drude model of conductivity. The system is maintained in a nonequilibrium stationary state…

混沌动力学 · 物理学 2016-12-21 Federico Bonetto , Joel L. Lebowitz

A simple kinematical argument suggests that the classical approximation may be inadequate to describe the evolution of a system with an anisotropic particle distribution. In order to verify this quantitatively, we study the Boltzmann…

高能物理 - 唯象学 · 物理学 2015-10-28 Thomas Epelbaum , Francois Gelis , Sangyong Jeon , Guy Moore , Bin Wu

We derive and analyze an effective quantum Boltzmann equation in the kinetic regime for the interactions of four distinguishable types of fermionic spin-$\frac{1}{2}$ particles, starting from a general quantum field Hamiltonian. Each…

数学物理 · 物理学 2015-03-09 Martin L. R. Fürst , Markus Kotulla , Christian B. Mendl , Herbert Spohn

One considers the motion of a test particle in an homogeneous fluid in equilibrium at temperature $T$, undergoing dissipative collisions with the fluid particles. It is shown that the corresponding linear Boltzmann equation still posseses a…

统计力学 · 物理学 2007-05-23 Ph. A. Martin , J. Piasecki

In the article, correct method for the kinetic Boltzmann equation asymptotic solution is formulated, the Hilbert method and the Enskog error are considered. The equations system of multi-component nonequilibrium gas-dynamics is derived,…

流体动力学 · 物理学 2009-05-12 Sergey A. Serov , Svetlana S. Serova

We derive a theoretical model which describes Bose-Einstein condensation in an open driven-dissipative system. It includes external pumping of a thermal reservoir, finite life time of the condensed particles and energy relaxation. The…

量子气体 · 物理学 2015-06-17 D. D. Solnyshkov , H. Terças , K. Dini , G. Malpuech

We formulate a linear Schrodinger equation with the temperature-dependent potential for the one-particle density matrix and obtain the condensation temperature of the Bose-Einstein condensate from a bound-state condition for the Schrodinger…

统计力学 · 物理学 2015-06-25 Subodha Mishra , Peter Pfeifer