One dimensional heat conductivity exponent from random collision model

Details One dimensional heat conductivity exponent from random collision model One dimensional heat conductivity exponent from random collision model

2003-01-13

arxiv.org/abs/cond-mat/0301181v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevE.68.010201

We study numerically the thermal conductivity coefficient $\kappa$ as a function of system length $L$ for several different quasi one dimensional models: classical gases of hard spheres with both longitudinal and transverse degrees of freedom. We introduce a model that is ergodic and highly chaotic but also conserves energy and momentum, and is very useful because it shows scaling even at small system sizes. We find that $\kappa \sim L^\alpha$ over more than two decades, with $\alpha$ very close to the analytical prediction of 1/3.

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