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We compare the performance of energy-based and entropy-conserving schemes for modeling nonthermal energy components, such as unresolved turbulence and cosmic rays, using idealized fluid dynamics tests and isolated galaxy simulations. While…

星系天体物理 · 物理学 2022-07-27 Vadim A. Semenov , Andrey V. Kravtsov , Benedikt Diemer

A new mathematical model for non-equilibrium evaporation/condensation including boiling effect is proposed. A simplified differential-algebraic system of equations is obtained. A code to solve numerically this differential-algebraic system…

统计力学 · 物理学 2018-03-09 B. V. Librovitch , A. F. Nowakowski , F. C. G. A. Nicolleau , T. M. Michelitsch

In this work we analyze the entropic properties of the Euler equations when the system is closed with the assumption of a polytropic gas. In this case, the pressure solely depends upon the density of the fluid and the energy equation is not…

数值分析 · 数学 2019-07-09 Andrew R. Winters , Christof Czernik , Moritz B. Schily , Gregor J. Gassner

We have shown how the intrinsic properties of a noise process can set an upper bound for the time derivative of entropy in a nonequilibrium system. The interplay of dissipation and the properties of noise processes driving the dynamical…

统计力学 · 物理学 2009-11-07 Bidhan Chandra Bag

We investigate the conditions for the (in)stability of the isotropic pressure condition in collapsing spherically symmetric, dissipative fluid distributions. It is found that dissipative fluxes, and/or energy density inhomogeneities and/or…

广义相对论与量子宇宙学 · 物理学 2020-05-27 L. Herrera

We derive expressions for determination of the stress and the elastic constants in systems composed of particles interacting via non-central two-body potentials as thermal averages of products of first and second partial derivatives of the…

统计力学 · 物理学 2009-11-11 Michael Murat , Yacov Kantor

This chapter concerns "control volume analysis", the standard engineering tool for the analysis of flow systems, and its application to entropy balance calculations. Firstly, the principles of control volume analysis are enunciated and…

流体动力学 · 物理学 2014-07-22 Robert K. Niven , Bernd R. Noack

The linear response to temperature changes is derived for systems with overdamped stochastic dynamics. Holding both in transient and steady state conditions, the results allow to compute nonequilibrium thermal susceptibilities from…

统计力学 · 物理学 2016-04-11 Gianmaria Falasco , Marco Baiesi

Time-reversal symmetry breaking and entropy production are universal features of nonequilibrium phenomena. Despite its importance in the physics of active and living systems, the entropy production of systems with many degrees of freedom…

We present a new asymptotic strategy for general micro-macro models which analyze complex viscoelastic fluids governed by coupled multiscale dynamics. In such models, the elastic stress appearing in the macroscopic continuum equation is…

数学物理 · 物理学 2025-12-22 Xuenan Li , Chun Liu , Di Qi

The continuum-scale electrokinetic porous-media flow and excess charge redistribution equations are uncoupled using eigenvalue decomposition. The uncoupling results in a pair of independent diffusion equations for "intermediate" potentials…

计算物理 · 物理学 2020-09-01 Kristopher L. Kuhlman , Bwalya Malama

Onsager's phenomenological equations successfully describe irreversible thermodynamic processes. They assume a symmetric coupling matrix between thermodynamic fluxes and forces. It is easily shown that the antisymmetric part of a coupling…

化学物理 · 物理学 2020-08-10 Thomas Heimburg

We examine the problem of how excited populations of electrons relax after they have been excited by a pump. We include three of the most important relaxation processes: (i) impurity scattering; (ii) Coulomb scattering; and (iii)…

统计力学 · 物理学 2018-10-24 A. F. Kemper , O. Abdurazakov , J. K. Freericks

We present a theory for the description of energy relaxation in a nonequilibrium condensate of bosonic particles. The approach is based on coupling to a thermal bath of other particles (e.g., phonons in a crystal, or noncondensed atoms in a…

介观与纳米尺度物理 · 物理学 2013-03-20 I. G. Savenko , T. C. H. Liew , I. A. Shelykh

Small thermodynamic systems exhibit peculiar behavior different from that observed in long-scale systems. Non-equilibrium processes taking place in those systems are strongly influenced by the presence of fluctuations which can be large.…

统计力学 · 物理学 2007-05-23 J. M. Rubi

A method for calculating the pressure tensor in constant-volume Monte Carlo simulations of convex bodies is presented. In contrast to other approaches, the method requires only an isotropic scaling of the simulation box, and the counting of…

统计力学 · 物理学 2009-11-11 Michael P. Allen

In this paper we discuss the meaning of the Schnakenberg formula for entropy production in non-equilibrium systems. To this end we consider a non-equilibrium system as part of a larger isolated system which includes the environment. We…

统计力学 · 物理学 2015-09-30 Robert Ziener , Amos Maritan , Haye Hinrichsen

Measuring entropy production of a system directly from the experimental data is highly desirable since it gives a quantifiable measure of the time-irreversibility for non-equilibrium systems and can be used as a cost function to optimize…

统计力学 · 物理学 2024-07-16 Prashant Singh , Karel Proesmans

In this Letter, we investigate the stability of the statistical equilibrium of spherically symmetric collisionless self-gravitating systems. By calculating the second variation of the entropy, we find that perturbations of the relevant…

宇宙学与河外天体物理 · 物理学 2011-06-08 Ping He , Dong-Biao Kang

Entropy production in stochastic mechanical systems is examined here with strict bounds on its rate. Stochastic mechanical systems include pure diffusions in Euclidean space or on Lie groups, as well as systems evolving on phase space for…

数学物理 · 物理学 2022-01-12 Gregory S. Chirikjian