Heat Conduction in a One-Dimensional Gas of Elastically Colliding Particles of Unequal Masses

Phys. Rev. Lett. 86, 3554 – Published 16 April 2001
Abhishek Dhar


We study the nonequilibrium state of heat conduction in a one-dimensional system of hard point particles of unequal masses interacting through elastic collisions. A BBGKY-type formulation is presented and some exact results are obtained from it. Extensive numerical simulations for the two-mass problem indicate that, even for arbitrarily small mass differences, a nontrivial steady state is obtained. This state exhibits local thermal equilibrium and has a temperature profile as predicted by kinetic theory. The temperature jumps typically seen in such studies are shown to be finite-size effects. The thermal conductivity appears to have a very slow divergence with system size, different from that seen in most other systems.

DOI: http://dx.doi.org/10.1103/PhysRevLett.86.3554

  • Received 7 August 2000
  • Published in the issue dated 16 April 2001

© 2001 The American Physical Society

Authors & Affiliations

Abhishek Dhar

  • Raman Research Institute, Bangalore 560080, India and Poornaprajna Institute, India

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