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Previous studies have predicted the failure of Fourier's law of thermal conduction due to the existence of wave like propagation of heat with finite propagation speed. This non-Fourier thermal transport phenomenon can appear in both the…

Mesoscale and Nanoscale Physics · Physics 2021-08-05 Chuang Zhang , Zhaoli Guo

The test mass suspensions of cryogenic gravitational-wave detectors such as the KAGRA project are tasked with extracting the heat deposited on the optics. Thus these suspensions have a non-uniform temperature, requiring the calculation of…

General Relativity and Quantum Cosmology · Physics 2018-05-09 Kentaro Komori , Yutaro Enomoto , Hiroki Takeda , Yuta Michimura , Kentaro Somiya , Masaki Ando , Stefan W. Ballmer

Based on a simple model, we theoretically show that asymmetric transportation is possible in nanoscale systems experiencing thermal noise without the presence of external fluctuations. The key to this theoretical advance is that the…

Statistical Mechanics · Physics 2013-07-30 Rongzheng Wan , Jun Hu , Haiping Fang

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

I present the Floquet scattering matrix theory of low-frequency heat fluctuations in driven multi-terminal quantum-coherent conductors in the linear response regime and beyond. The intrinsic fluctuations of energy of dynamically excited…

Mesoscale and Nanoscale Physics · Physics 2014-05-29 Michael Moskalets

At the dawn of thermodynamics, Carnot's constraint on efficiency of heat engines stimulated the formulation of one of the most universal physical principles, the second law of thermodynamics. In recent years, the field of heat engines…

Statistical Mechanics · Physics 2021-12-23 Viktor Holubec , Artem Ryabov

We discuss the problem of heat conduction in classical and quantum low dimensional systems from a microscopic point of view. At the classical level we provide convincing numerical evidence for the validity of Fourier law of heat conduction…

Statistical Mechanics · Physics 2008-07-15 Giulio Casati , Carlos Mejia-Monasterio

We analyze the noise properties of both electric charge and heat currents as well as their correlations in a quantum-dot based thermoelectric engine. The engine is a three-terminal conductor with crossed heat and charge flows where heat…

Mesoscale and Nanoscale Physics · Physics 2013-12-10 Rafael Sánchez , Björn Sothmann , Andrew N. Jordan , Markus Büttiker

A problem of the definition of the heat transported in thermomagnetic phenomena has been well realized in the late sixties, but not solved up to date. Ignoring this problem, numerous recent theories grossly overestimate the thermomagnetic…

Superconductivity · Physics 2007-08-08 A. Sergeev , M. Yu. Reizer , V. Mitin

Heat and energy are conceptually different, but often are assumed to be the same without justification. An effective method for investigating diffusion properties in equilibrium systems is discussed. With this method, we demonstrate that…

Statistical Mechanics · Physics 2015-11-03 Shunda Chen , Yong Zhang , Jiao Wang , Hong Zhao

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

Fluctuation theorems based on time-reversal have provided remarkable insight into the non-equilibrium statistics of thermodynamic quantities like heat, work, and entropy production. These types of laws impose constraints on the…

Statistical Mechanics · Physics 2022-11-30 Max Innerbichler , Andrei Militaru , Martin Frimmer , Lukas Novotny , Christoph Dellago

A linear irreversible thermodynamic framework of heat conduction in rigid conductors is introduced. The deviation from local equilibrium is characterized by a single internal variable and a current intensity factor. A general constitutive…

Statistical Mechanics · Physics 2014-04-08 P. Ván , T. Fülöp

The heat theorem (i.e. the second law of thermodynamics or the existence of entropy) is a manifestation of a general property of hamiltonian mechanics and of the ergodic Hypothesis. In nonequilibrium thermodynamics of stationary states the…

Statistical Mechanics · Physics 2008-11-01 Giovanni Gallavotti

We report heat pulse experiments at room temperature that cannot be described by Fourier's law. The experimental data is modelled properly by the Guyer--Krumhansl equation, in its over-diffusion regime. The phenomenon is due to conduction…

Statistical Mechanics · Physics 2016-05-20 S. Both , B. Czél , T. Fülöp , Gy. Gróf , Á. Gyenis , R. Kovács , P. Ván , J. Verhás

The study of thermodynamic properties of microscopic systems, such as a colloid in a fluid, has been of great interest to researchers since the discovery of the fluctuation theorem and associated laws of stochastic thermodynamics. However,…

Soft Condensed Matter · Physics 2023-11-28 Debasish Saha , Rati Sharma

Ultrafast and nanoscale heat conduction demands a unified theoretical framework that rigorously bridges macroscopic transport equations with microscopic material properties derived from statistical physics.Existing empirical generalizations…

Materials Science · Physics 2025-09-08 David E. Crawford , Yi Zeng , Judith Vidal , Jianjun Dong

We report the two typical models of normal heat conduction in one dimensional momentum-conserving systems. They show the Arrhenius and the non-Arrhenius temperature dependence. We construct the two corresponding phenomenologies,…

Statistical Mechanics · Physics 2016-07-20 Dye SK Sato

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

The Landauer-B\"uttiker formalism provides a simple and insightful way for investigating many phenomena in mesoscopic physics. By this approach we derive general formulas for the energy properties and apply them to the basic setups. Of…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Danilo Sergi