title: Correlations and scaling in one-dimensional heat conduction.
abstract: We examine numerically the full spatiotemporal 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. All primitive hydrodynamic quantities scale with the dynamic critical exponent predicted analytically.
authors.affiliation: Department of Physics, University of California, Santa Cruz, California 95064, USA.
authors.forename: J M
authors.initials: JM
authors.lastname: Deutsch
authors.forename: Onuttom
authors.initials: O
authors.lastname: Narayan