Correlations and scaling in one-dimensional heat conduction

Details Correlations and scaling in one-dimensional heat conduction Correlations and scaling in one-dimensional heat conduction

2003-06-04

arxiv.org/abs/cond-mat/0306115v1

Physics

Condensed Matter

Statistical Mechanics

7 pages, 11 figures

Scientific paper

10.1103/PhysRevE.68.041203

We examine numerically the full spatio-temporal correlation functions for all hydrodynamic quantities for the random collision model introduced recently. The autocorrelation function of the heat current, through the Kubo formula, gives a thermal conductivity exponent of 1/3 in agreement with the analytical prediction and previous numerical work. Remarkably, this result depends crucially on the choice of boundary conditions: for periodic boundary conditions (as opposed to open boundary conditions with heat baths) the exponent is approximately 1/2. This is expected to be a generic feature of systems with singular transport coefficients. All primitive hydrodynamic quantities scale with the dynamic critical exponent predicted analytically.

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