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We derive an expression for the minimal rate of entropy that sustains two reservoirs at different temperatures $T_0$ and $T_\ell$. The law displays an intuitive $\ell^{-1}$ dependency on the relative distance and a characterisic $\log^2…

Statistical Mechanics · Physics 2020-09-02 Matteo Polettini , Alberto Garilli

Large-scale convective flows called giant cells were once thought to transport the Sun's luminosity in the solar convection zone, but recent observations have called their existence into question. In place of large-scale flows, some authors…

Solar and Stellar Astrophysics · Physics 2019-10-17 Evan H. Anders , Daniel Lecoanet , Benjamin P. Brown

Convection is a key transport phenomenon important in many different areas, from hydrodynamics and ocean circulation to planetary atmospheres or stellar physics. However its microscopic understanding still remains challenging. Here we…

Statistical Mechanics · Physics 2022-07-29 P. L. Garrido , P. I. Hurtado

The realization of single-molecule thermal conductance measurements has driven the need for theoretical tools to describe conduction processes that occur over atomistic length scales. In macroscale systems, the principle that is typically…

Mesoscale and Nanoscale Physics · Physics 2023-05-17 Galen T. Craven , Abraham Nitzan

The flow of fluid confined between a heated rotating cylinder and a cooled stationary cylinder is a canonical experiment for the study of heat transfer in engineering. The theoretical treatment of this system is greatly simplified if the…

Fluid Dynamics · Physics 2015-09-15 Jose M. Lopez , Francisco Marques , Marc Avila

Increasing shares of fluctuating renewable energy sources induce higher and higher power flow variability at the transmission level. The question arises as to what extent existing networks can absorb additional fluctuating power injection…

Systems and Control · Computer Science 2014-11-18 Markus Schläpfer , Pierluigi Mancarella

In the present paper we propose a reduced temperature non-equilibrium model for simulating multicomponent flows with inter-phase heat transfer, diffusion processes (including the viscosity and the heat conduction) and external energy…

Numerical Analysis · Mathematics 2021-08-19 Chao Zhang , Lifeng Wang , Zhijun Shen , Zhiyuan Li , Igor Menshov

We study heat conduction and diffusion in silicon nanowires (SiNWs) systematically by using non-equilibrium molecular dynamics. It is found that the thermal conductivity of SiNWs diverges with the length, even when the length is up to 1,100…

Materials Science · Physics 2010-02-19 Nuo Yang , Gang Zhang , Baowen Li

The present article proposes a diffuse interface model for compressible multicomponent flows with transport phenomena of mass, momentum and energy (i.e., mass diffusion, viscous dissipation and heat conduction). The model is reduced from…

Analysis of PDEs · Mathematics 2022-10-26 Chao Zhang , Lifeng Wang

This article shows the importance of flow compressibility on the heat transfer in confined impinging jets, and how it is driven by both the Mach number and the wall heat-flux. Hence, we present a collection of cases at several Mach numbers…

Fluid Dynamics · Physics 2019-11-28 Jose Javier Otero Perez , Richard Sandberg

The first part of this chapter gives an introduction to heat transfer and cooling techniques at low temperature. We review the fundamental laws of heat transfer (conduction, convection and radiation) and give useful data specific to…

Accelerator Physics · Physics 2015-01-29 B Baudouy

In this work, we study the thermalization between two bodies separated by a vacuum gap by coupling the non-Fourier behavior of the materials with the radiative heat transfer in the near-field. Unlike the diffusion-type temperature profile,…

Mesoscale and Nanoscale Physics · Physics 2023-06-06 D. Becerril , A. Camacho de la Rosa , R. Esquivel-Sirvent

We present a detailed derivation of Fourier's law in a class of stochastic energy exchange systems that naturally characterize two-dimensional mechanical systems of locally confined particles in interaction. The stochastic systems consist…

Statistical Mechanics · Physics 2009-08-29 Pierre Gaspard , Thomas Gilbert

The non-Fourier heat conduction phenomenon on room temperature is analyzed from various aspects. The first one shows its experimental side, in what form it occurs and how we treated it. It is demonstrated that the Guyer-Krumhansl equation…

The fundamental dynamic stability of heat conduction theories beyond Fourier is analyzed in the framework of nonequilibrium thermodynamics. It is shown, that the thermodynamic framework, concave entropy and nonnegative entropy production,…

Statistical Mechanics · Physics 2026-01-06 R. Somogyfoki , A. Famà , L. Restuccia , P. Ván

Understanding the thermodynamic state of the hot intracluster medium (ICM) in a galaxy cluster requires a knowledge of the plasma transport processes, especially thermal conduction. The basic physics of thermal conduction in plasmas with…

High Energy Astrophysical Phenomena · Physics 2016-10-12 G. T. Roberg-Clark , J. F. Drake , C. S. Reynolds , M. Swisdak

In this study we used nonequilibrium simulation method to investigate the temperature dependent divergence of thermal conductivity in one dimensional momentum conserving system with asymmetric double well nearest-neighbor interaction…

Statistical Mechanics · Physics 2019-02-06 Archana G R , Debashis Barik

We investigate thermal transport along a one-dimensional lattice of classical inertial rotators, with attractive couplings which decrease with distance as $r^{-\alpha}$ ($\alpha \ge 0$), subject at its ends to Brownian heat reservoirs at…

Statistical Mechanics · Physics 2016-11-11 Carlos Olivares , Celia Anteneodo

Simple finite differencing of the anisotropic diffusion equation, where diffusion is only along a given direction, does not ensure that the numerically calculated heat fluxes are in the correct direction. This can lead to negative…

Instrumentation and Methods for Astrophysics · Physics 2015-05-19 Prateek Sharma , Gregory W. Hammett

Effects of ballistic transport on the temperature profiles and thermal resistance in nanowires are studied. Computer simulations of nanowires between a heat source and a heat sink have shown that in the middle of such wires the temperature…

Mesoscale and Nanoscale Physics · Physics 2024-07-01 R. Meyer , Graham W. Gibson , Alexander N. Robillard
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