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

V. Balakrishnan and C. Van den Broeck
Phys. Rev. E 72, 046141 – Published 28 October 2005

Abstract

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.

  • Received 13 December 2004

DOI:https://doi.org/10.1103/PhysRevE.72.046141

©2005 American Physical Society

Authors & Affiliations

V. Balakrishnan*

  • Department of Physics, Indian Institute of Technology Madras, Chennai 600 036, India

C. Van den Broeck

  • Hasselt University, B-3590 Diepenbeek, Belgium

  • *Electronic address: vbalki@physics.iitm.ac.in
  • Electronic address: christian.vandenbroeck@uhasselt.be

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Issue

Vol. 72, Iss. 4 — October 2005

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