One-dimensional heat conductivity exponent from a random collision model.
We obtain numerically the thermal conductivity of a quasi-one-dimensional classical chain of hard sphere particles as a function of the length of the chain, introducing a fresh model for this problem. The conductivity scales as a power law of the length over two decades, with an exponent very close to the analytical prediction of 1/3.
Deutsch
J M
JM
Department of Physics, University of California, Santa Cruz, California 95064, USA.
Narayan
Onuttom
O