%0 Journal Article
%T Heat conduction in a one-dimensional gas of elastically colliding particles of unequal masses
%A Abhishek Dhar
%J Physics
%D 2001
%I arXiv
%R 10.1103/PhysRevLett.86.3554
%X 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.
%U http://arxiv.org/abs/cond-mat/0102208v1