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Nonequilibrium statistical mechanics close to equilibrium is a physically satisfactory theory centered on the linear response formula of Green-Kubo. This formula results from a formal first order perturbation calculation without rigorous…

Chaotic Dynamics · Physics 2015-05-27 David Ruelle

We describe results of computer simulations of steady state heat transport in a fluid of hard discs undergoing both elastic interparticle collisions and velocity randomizing collisions which do not conserve momentum. The system consists of…

Statistical Mechanics · Physics 2020-06-24 Pedro L. Garrido , Joel L. Lebowitz

In the present study it is shown that the interaction of a quasi-static gravitational wave through density fluctuations gives rise to a heat conductivity coefficient and hence temperature. This fact is a very important characteristics to…

General Physics · Physics 2015-10-28 S. O. Gladkov , Anil Yadav , Saibal Ray , F. Rahaman

We present a selective overview of the current state of our knowledge (more precisely of ourignorance) regarding the derivation of Fourier's Law, ${\bf J}(\br) =-\kappa {\bf \nabla}T(\br)$; ${\bf J}$ the heat flux, $T$ the temperature and…

Mathematical Physics · Physics 2007-05-23 F. Bonetto , J. L. Lebowitz , L. Rey-Bellet

We propose a formal extension of thermodynamics and kinetic theories to a larger class of entropy functionals. Kinetic equations associated to Boltzmann, Fermi, Bose and Tsallis entropies are recovered as a special case. This formalism…

Statistical Mechanics · Physics 2015-06-24 Pierre-Henri Chavanis

There are several models for the effective thermal conductivity of two-phase composite materials in terms of the conductivity of the solid and the disperse material. In this paper, we generalise three models of Maxwell type (namely, the…

Materials Science · Physics 2019-01-01 Kristian B. Kiradjiev , Svenn Anton Halvorsen , Robert A. Van Gorder , Sam D. Howison

We prove that for a general diffusion process, certain assumptions on its behavior \emph{only within a fixed open subset} of the state space imply the existence and sub-Gaussian type off-diagonal upper bounds of the \emph{global} heat…

Probability · Mathematics 2015-07-07 Alexander Grigor'yan , Naotaka Kajino

A heat conduction problem is studied using extended hydrodynamic equations obtained from Enskog's equation for a simple case of two planar systems in contact through a porous wall. One of the systems is in equilibrium and the other one in a…

Statistical Mechanics · Physics 2009-11-11 Hideaki Ugawa

Heat transfer is studied in the system of electron double layers of correlated composite fermion quantum liquids. In the near-field regime, the primary mechanism governing interlayer energy transfer is mediated by the Coulomb interaction of…

Mesoscale and Nanoscale Physics · Physics 2024-04-16 Dmitry Zverevich , Alex Levchenko

We show that the GENERIC model for relativistic heat conduction is a multifluid of Carter. This allows one to compute the multifluid constitutive relations directly from the GENERIC formalism. As a quick application, we prove that, in the…

Nuclear Theory · Physics 2024-01-09 Lorenzo Gavassino

The classical thermodynamic laws fail to capture the behavior of systems with energy Hamiltonian which is an explicit function of the temperature. Such Hamiltonian arises, for example, in modeling information processing systems, like…

Statistical Mechanics · Physics 2009-11-13 Ori Shental , Ido Kanter

In the present Letter we present an analytical and numerical solution of the self-consistent mode-coupling equations for the problem of heat conductivity in one-dimensional systems. Such a solution leads us to propose a different scenario…

Statistical Mechanics · Physics 2009-11-11 L. Delfini , S. Lepri , R. Livi , A. Politi

The thermal conductivity, $\kappa$, of a homogeneous chain of generically-ranged interacting planar rotors, more precisely the inertial $\alpha-XY$ model, is numerically studied with the coupling constant decaying as $r^{-\alpha}$. The…

Statistical Mechanics · Physics 2024-07-22 Henrique Santos Lima , Constantino Tsallis , Deniz Eroglu , Ugur Tirnakli

We numerically determine the entropy for heat-conducting states, which is connected to the so-called excess heat considered as a basic quantity for steady-state thermodynamics in nonequilibrium. We adopt an efficient method to estimate the…

Statistical Mechanics · Physics 2016-08-17 Yoshiyuki Chiba , Naoko Nakagawa

We study heat transfer in plane Couette flow laden with rigid spherical particles by means of direct numerical simulations using a direct-forcing immersed boundary method to account for the dispersed phase. A volume of fluid approach is…

Fluid Dynamics · Physics 2016-11-08 Mehdi Niazi Ardekani , Omid Abouali , Francesco Picano , Luca Brandt

We develop a Born-Oppenheimer type formalism for the description of quantum thermal transport along hybrid nanoscale objects. Our formalism is suitable for treating heat transfer in the off-resonant regime, where e.g., the relevant…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Lian-Ao Wu , Dvira Segal

For a thermal conductivity that is spatially uniform and independent of temperature, Fourier's law of heat transfer predicts a curl-free heat-flux. In the quasi-ballistic phonon transport regime, where the Fourier law breaks down, it has…

Mesoscale and Nanoscale Physics · Physics 2016-02-02 Ashok T. Ramu , Carl D. Meinhart , John E. Bowers

Heat conduction at low temperatures show various effects that cannot be described by the Fourier law, like the second sound and ballistic propagation. In this paper the performance of various theories is compared in case of ballistic and…

Statistical Mechanics · Physics 2017-04-11 R. Kovács , P. Ván

The Green-Kubo theory of thermal transport has long be considered incompatible with modern simulation methods based on electronic-structure theory, because it is based on such concepts as energy density and current, which are ill-defined at…

Statistical Mechanics · Physics 2018-08-20 Stefano Baroni , Riccardo Bertossa , Loris Ercole , Federico Grasselli , Aris Marcolongo

A covariant gauge independent derivation of the generalized dispersion relation of electromagnetic waves in a medium with local and linear constitutive law is presented. A generalized photon propagator is derived. For Maxwell constitutive…

High Energy Physics - Theory · Physics 2008-11-26 Yakov Itin