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We give a rigorous derivation of Fourier's law from a system of closure equations for a nonequilibrium stationary state of a Hamiltonian system of coupled oscillators subjected to heat baths on the boundary. The local heat flux is…

Mathematical Physics · Physics 2009-11-11 Jean Bricmont , Antti Kupiainen

We propose a theory of low temperature thermal transport in nano-wires in the regime where a competition between phonon and flexural modes governs the relaxation processes. Starting with the standard kinetic equations for two different…

Statistical Mechanics · Physics 2009-11-10 Alexander V. Zhukov , Shilong Yang , Jianshu Cao

A new approach to the study of similarity of temperature profiles is presented. It is applicable for any 2-D fluid flow along an isothermal heated (cooled) wall. The approach is based on a simple concept; the area under a set of scaled…

Fluid Dynamics · Physics 2018-01-09 David Weyburne

Understanding and quantifying the fundamental physical property of coherence of thermal excitations is a long-standing and general problem in physics. The conventional theory, i.e. the phonon gas model, fails to describe coherence and its…

Computational Physics · Physics 2022-01-11 Zhongwei Zhang , Yangyu Guo , Marc Bescond , Jie Chen , Masahiro Nomura , Sebastian Volz

We calculate the temperature dependence of the transport properties of heavy-fermion systems such as resistivity, optical conductivity, thermoelectric power, the electronic part of the thermal conductivity, and the "figure of merit." The…

Strongly Correlated Electrons · Physics 2009-11-11 Claas Grenzebach , Frithjof B. Anders , Gerd Czycholl , Thomas Pruschke

We discuss the temperature-dependent thermoelectric transport properties of semiconductor nanostructures comprising a quantum dot coupled to quantum wires: the thermal dependence of the electrical conductance, thermal conductance, and…

Mesoscale and Nanoscale Physics · Physics 2021-02-17 D. F. Aranguren-Quintero , E. Ramos , J. Silva-Valencia , M. S. Figueira , L. N. Oliveira , R. Franco

The standard approach to non-equilibrium thermodynamics describes transport in terms of generalised forces and coupled currents, a typical example being the Fourier law that relates temperature gradient to the heat flux. Here we demonstrate…

Statistical Mechanics · Physics 2015-05-20 Simone Borlenghi , Stefano Iubini , Stefano Lepri , Lars Bergqvist , Anna Delin , Jonas Frannson

-We have performed a new efficient method to calculate numerically the transport coefficients at high temperature. The collision theory was treated to study singularities that occur when evaluating the collision cross section. The transport…

Plasma Physics · Physics 2015-01-30 Ali Mahfouf , Pascal André , Géraldine Faure

Superconducting phase diagram of the extended Hubbard model supplemented with interaction and hopping terms exceeding nearest neighbour distance in range is analysed systematically at different band-filling and temperature values in a…

Strongly Correlated Electrons · Physics 2007-05-23 Zs. Szabo , Zs. Gulacsi

Phonon heat conduction over length scales comparable to their mean free paths is a topic of considerable interest for basic science and thermal management technologies. Although the failure of Fourier's law beyond the diffusive regime is…

Materials Science · Physics 2019-08-28 Chengyun Hua , Lucas Lindsay , Xiangwen Chen , Austin Minnich

On the basis of the linear response transport theory, the general expressions for the thermoelectric transport coefficients, such as thermoelectric power (S), Nernst coefficient (\nu), and thermal conductivity (\kappa), are derived by using…

Strongly Correlated Electrons · Physics 2009-11-07 Hiroshi Kontani

Within the Lindblad formalism we consider an interacting spin chain coupled locally to heat baths. We investigate the dependence of the energy transport on the type of interaction in the system as well as on the overall interaction…

Statistical Mechanics · Physics 2007-05-23 Mathias Michel , Michael Hartmann , Jochen Gemmer , Guenter Mahler

We introduce and analyze a model for the transport of particles or energy in extended lattice systems. The dynamics of the model acts on a discrete phase space at discrete times but has nonetheless some of the characteristic properties of…

Mathematical Physics · Physics 2015-06-12 Raphael Lefevere

We introduce the first simple mechanical system that shows fully realistic transport behavior while still being exactly solvable at the level of equilibrium statistical mechanics. The system under consideration is a Lorentz gas with fixed…

Statistical Mechanics · Physics 2009-10-31 C. Mejia-Monasterio , H. Larralde , F. Leyvraz

Maxwell's equations incorporating thermoelectric and thermomagnetic effects are studied. Energy transport involving electric field only flows along the velocity direction and a direction perpendicular to it. Magnetic energy transport…

General Physics · Physics 2017-09-12 A. I. Arbab

The angle dependence at different temperatures of the longitudinal thermal conductivity $\kappa_{xx}(\theta)$ in the presence of a planar magnetic field is presented. In order to study the influence of the gap symmetry on the thermal…

Superconductivity · Physics 2016-08-16 Roberto Ocaña , Pablo Esquinazi

We consider a particle moving with equation of motion $\dot x=f(t)$, where $f(t)$ is a random function with statistics which are independent of $x$ and $t$, with a finite drift velocity $v=\langle f\rangle$ and in the presence of a…

Chaotic Dynamics · Physics 2016-08-24 Robin Guichardaz , Alain Pumir , Michael Wilkinson

A method is proposed to select the suitable sets of potential parameters for a one-dimensional mesoscopic Hamiltonian model, first introduced to describe the DNA melting transition and later extended to investigate thermodynamic and…

Soft Condensed Matter · Physics 2020-12-09 Marco Zoli

We study the heat conductivity in Anderson insulators in the presence of power-law interaction. Particle-hole excitations built on localized electron states are viewed as two-level systems randomly distributed in space and energy and…

Disordered Systems and Neural Networks · Physics 2016-06-24 D. B. Gutman , I. V. Protopopov , A. L. Burin , I. V. Gornyi , R. A. Santos , A. D. Mirlin

It is believed that thermodynamic laws are associated with random processes occurring in the system and, therefore, deterministic mechanical systems cannot be described within the framework of the thermodynamic approach. In this paper, we…

Classical Physics · Physics 2020-09-28 Sergey Rashkovskiy