Gauge Invariance of Thermal Transport Coefficients

被引：33

作者：

Ercole, Loris ^{[1
]}

Marcolongo, Aris ^{[2
]}

Umari, Paolo ^{[3
]}

Baroni, Stefano ^{[1
]}

机构：

[1] SISSA, Via Bonomea 265, I-34136 Trieste, Italy

[2] Ecole Polytech Fed Lausanne, Theory & Simulat Mat THEOS, CH-1015 Lausanne, Switzerland

[3] Univ Padua, Dipartimento Fis & Astron, Via Marzolo 8, I-35131 Padua, Italy

来源：

JOURNAL OF LOW TEMPERATURE PHYSICS | 2016年 / 185卷 / 1-2期

关键词：

Thermal conductivity; Heat transport; Hydrodynamic fluctuations; Molecular dynamics; Green-Kubo; IRREVERSIBLE-PROCESSES; MOLECULAR-DYNAMICS; SIMULATION;

D O I：

10.1007/s10909-016-1617-6

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

Thermal transport coefficients are independent of the specific microscopic expression for the energy density and current from which they can be derived through the Green-Kubo formula. We discuss this independence in terms of a kind of gauge invariance resulting from energy conservation and extensivity, and demonstrate it numerically for a Lennard-Jones fluid, where different forms of the microscopic energy density lead to different time correlation functions for the heat flux, all of them, however, resulting in the same value for the thermal conductivity.

引用

页码：79 / 86

页数：8

共 10 条

[1]

Forster D., 1975, Hydrodynamic Fluctuations, Broken Symmetry, And Correlation Functions

[2] MARKOFF RANDOM PROCESSES AND THE STATISTICAL MECHANICS OF TIME-DEPENDENT PHENOMENA .2. IRREVERSIBLE PROCESSES IN FLUIDS [J].