Heat conduction in a one-dimensional gas of elastically colliding particles of unequal masses

Details Heat conduction in a one-dimensional gas of elastically colliding particles of unequal masses Heat conduction in a one-dimensional gas of elastically colliding particles of unequal masses

2001-02-12

arxiv.org/abs/cond-mat/0102208v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 4 figures, Accepted for publication in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.86.3554

We study the nonequlibrium 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 in accordance with the predictions of 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.

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