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Many important properties of granular fluids can be represented by a system of hard spheres with inelastic collisions. Traditional methods of nonequilibrium statistical mechanics are effective for analysis and description of the inelastic…

Soft Condensed Matter · Physics 2009-11-07 James W. Dufty , J. Javier Brey , James Lutsko

In this paper, we propose a new derivation for the Green-Kubo relationship for the liquid-solid friction coefficient, characterizing hydrodynamic slippage at a wall. It is based on a general Langevin approach for the fluctuating wall…

Statistical Mechanics · Physics 2015-06-16 Lydéric Bocquet , Jean-Louis Barrat

We consider a stochastic process of heat conduction where energy is redistributed along a chain between nearest neighbor sites via an improper beta distribution. Similar to the well-known Kipnis-Marchioro-Presutti (KMP) model, the finite…

Statistical Mechanics · Physics 2023-05-03 Chiara Franceschini , Rouven Frassek , Cristian Giardinà

We investigate the behavior of energy fluctuations in several models of granular gases maintained in a non-equilibrium steady state. In the case of a gas heated from a boundary, the inhomogeneities of the system play a predominant role.…

Statistical Mechanics · Physics 2007-05-23 P. Visco , A. Puglisi , A. Barrat , F. van Wijland , E. Trizac

Using information entropy formalism, we consider a one-dimensional system with heat flux and extend the meaning of equilibrium variables to non equilibrium scenarios when classical local equilibrium approach is not applicable; this is…

Statistical Mechanics · Physics 2019-09-10 Sergey Sobolev

Thermal motion in complex fluids is a complicated stochastic process but ubiquitously exhibits initial ballistic, intermediate sub-diffusive, and long-time non-Gaussian diffusive motion, unless interrupted. Despite its relevance to numerous…

Disordered Systems and Neural Networks · Physics 2019-09-04 Sanggeun Song , Seong Jun Park , Bong June Sung , Jun Soo Kim , Ji-Hyun Kim , Jaeyoung Sung

The additivity principle allows to compute the current distribution in many one-dimensional (1D) nonequilibrium systems. Using simulations, we confirm this conjecture in the 1D Kipnis-Marchioro-Presutti model of heat conduction for a wide…

Statistical Mechanics · Physics 2015-05-13 Pablo I. Hurtado , Pedro L. Garrido

In this paper, we study exactly the thermal conductance for a low dimensional system represented by two coupled massive Brownian particles, both directly and via a Green-Kubo expression. Both approaches give exactly the same result. We also…

Statistical Mechanics · Physics 2011-07-01 W. A. M. Morgado , D. O. Soares-Pinto

A recently introduced stochastic model for fluid flow can be made Galilean invariant by introducing a random shift of the computational grid before collisions. This grid shifting procedure accelerates momentum transfer between cells and…

Soft Condensed Matter · Physics 2009-11-10 Thomas Ihle , Erkan Tuzel , Daniel M. Kroll

We re-derive the expression for the heat current for a classical system subject to periodic boundary conditions and show that it can be written as a sum of two terms. The first term is a time derivative of the first moment of the system…

Statistical Mechanics · Physics 2025-05-16 Andrey Pereverzev

The application of a temperature gradient to an extended system generates an electromotive force that induces an electric current in conductors and a macroscopic polarization in insulators. The ratio of the electromotive force to the…

Materials Science · Physics 2024-02-01 Enrico Drigo , Stefano Baroni

Recent progress in understanding thermal transport in complex crystals has highlighted the prominent role of heat conduction mediated by interband tunneling processes, which emerge between overlapping phonon bands (i.e. with energy…

Materials Science · Physics 2022-08-17 Giovanni Caldarelli , Michele Simoncelli , Nicola Marzari , Francesco Mauri , Lara Benfatto

The presented paper is an attempt to investigate the dynamical states of an hydrodynamical isothermal turbulent self-gravitating system using some powerful tools of the classical thermodynamics. Our main assumption, inspired by the work of…

Astrophysics of Galaxies · Physics 2023-11-21 Sava Donkov , Ivan Zh. Stefanov , Todor V. Veltchev

The thermodynamic approach to non-equilibrium dynamics describes the state of macroscopic systems by means of a collection of intensities or intensive variables. The latter are by definition the differentials of the entropy with respect to…

chao-dyn · Physics 2008-02-03 Z. Hens , X. de Hemptinne

This study investigates the heat transfer in a simple pure fluid whose temperature is slightly above its critical temperature. We propose a efficient numerical method to predict the heat transfer in such fluids when the gravity can be…

Fluid Dynamics · Physics 2016-01-26 Vadim Nikolayev , A Dejoan , Y. Garrabos , D Beysens

We apply the method of invariant manifolds to derive equations of generalized hydrodynamics from the linearized Boltzmann equation and determine exact transport coefficients, obeying Green-Kubo formulas. Numerical calculations are performed…

Statistical Mechanics · Physics 2015-05-13 M. Colangeli , M. Kroger , H. C. Ottinger

In the last ten years, a number of ``Conventional Fluctuation Theorems'' have been derived for systems with deterministic or stochastic dynamics, in a transient or in a non-equilibrium stationary state. These theorems gave explicit…

Statistical Mechanics · Physics 2007-05-23 R. van Zon , E. G. D. Cohen

Gaseous thermal transpiration flows through a rectangular micro-channel are simulated by the direct simulation BGK (DSBGK) method. These flows are rarefied, within the slip and transitional flow regimes, which are beyond many traditional…

Fluid Dynamics · Physics 2020-07-20 Jun Li , Chunpei Cai , Zhi-Hui Li

Precise modeling and understanding of heat transport in the superionic phase are of great interest. Although simulations combining Green-Kubo (GK) molecular dynamics with machine-learned potentials (MLPs) stand as a promising approach,…

Materials Science · Physics 2026-03-31 Wenjiang Zhou , Benrui Tang , Zheyong Fan , Federico Grasselli , Stefano Baroni , Bai Song

We rederive the Green-Kubo relation establishing a connection between the near- and far-field heat transfer between two objects out of equilibrium to the equilibrium fluctuations of these objects in an arbitrary environment. Employing the…

Mesoscale and Nanoscale Physics · Physics 2020-08-12 F. Herz , S. -A. Biehs
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