A Mechanical Model for Fourier’s Law of Heat Conduction

被引：0

作者：

David Ruelle

机构：

[1] Rutgers University,Mathematics Department

[2] Hill Center,undefined

[3] IHES,undefined

来源：

Communications in Mathematical Physics | 2012年 / 311卷

关键词：

Microscopic Dynamic; Nonequilibrium Statistical Mechanic; Local Unstable Manifold; Smooth Dynamic; Major Unsolved Problem;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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 justification. A rigorous derivation of Fourier’s law for heat conduction from the laws of mechanics remains thus a major unsolved problem. In this note we present a deterministic mechanical model of a heat-conducting chain with nontrivial interactions, where kinetic energy fluctuations at the nodes of the chain are removed. In this model the derivation of Fourier’s law can proceed rigorously.

引用

页码：755 / 768

页数：13

共 50 条

[21] A gradient system for a higher-gradient generalization of Fourier's law of heat conduction
Nika, Grigor
MODERN PHYSICS LETTERS B, 2023, 37 (11):
[22] Transient criterion of non-Fourier heat conduction law
Yu, Ning
Pan, Jiansheng
Gu, Jianfeng
Hu, Mingjuan
Jiguang Jishu/Laser Technology, 2002, 26 (02):
[23] Heat conduction in one dimensional systems: Fourier law, chaos, and heat control
Casati, G
Li, BW
NON-LINEAR DYNAMICS AND FUNDAMENTAL INTERACTIONS, 2006, 213 : 1 - +
[24] Fourier heat conduction as a phenomenon described within the scope of the Second law
Jesudason, Christopher G.
10TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES (ICNPAA 2014), 2014, 1637 : 440 - 449
[25] Discussion on the transient of non-Fourier heat conduction law and laser heat treatment
Yu, N.
Hu, M.J.
Pan, J.S.
Gu, J.F.
2001, Editorial Office of Transactions of Materials and Heat Treatment (22):
[26] Insight into the relationship between the Fourier?s law of heat conduction and Fick?s law over a Riga device: Fourth grade analysis
Wang, Fuzhang
Shah, Faisal
Khan, M. Ijaz
Alwetaishi, Mamdooh
Malik, M. Y.
Galal, Ahmed M.
JOURNAL OF THE INDIAN CHEMICAL SOCIETY, 2022, 99 (07)
[27] Hamiltonian model of heat conductivity and Fourier law
Gruber, C
Lesne, A
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2005, 351 (2-4) : 358 - 372
[28] Heat conduction and mass transfer in a MHD nanofluid flow subject to generalized Fourier and Fick's law
Giri, Shib Sankar
Das, Kalidas
Kundu, Prabir Kumar
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, 2020, 27 (20) : 1765 - 1775
[29] MODIFICATION OF DIMENSIONALITIES OF COEFFICIENTS OF HEAT CONDUCTION, TEMPERATURE CONDUCTION AND DERIVATION OF FOURIER'S EQUATION OF UNSTEADY HEAT CONDUCTION
Zaytsev, A. M.
Khudikovsky, V. L.
Aksenov, S. P.
SCIENTIFIC HERALD OF THE VORONEZH STATE UNIVERSITY OF ARCHITECTURE & CIVIL ENGINEERING CONSTRUCTION & ARCHITECTURE, 2011, (04): : 84 - 97
[30] Heat conduction experiment of asphalt mixture based onFourier's heat conduction law
School of Highway, Chang'an University, Xi'an 710064, Shaanxi, China
不详
不详
Jiaotong Yunshu Gongcheng Xuebao, 2013, 6 (1-6):

← 1 2 3 4 5 →