Analytic calculation of energy transfer and heat flux in a one-dimensional system

Details Analytic calculation of energy transfer and heat flux in a one-dimensional system Analytic calculation of energy transfer and heat flux in a one-dimensional system

2004-12-13

arxiv.org/abs/cond-mat/0412317v1

Physics

Condensed Matter

Statistical Mechanics

17 pages including title page

Scientific paper

10.1103/PhysRevE.72.046141

In the context of the problem of heat conduction in one-dimensional systems, we present an analytical calculation of the instantaneous energy transfer across a tagged particle in a one-dimensional gas of equal-mass, hard-point particles. From this, we obtain a formula for the steady-state energy flux, and identify and separate the mechanical work and heat conduction contributions to it. The nature of the Fourier law for the model, and the nonlinear dependence of the rate of mechanical work on the stationary drift velocity of the tagged particle, are analyzed and elucidated.

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