%0 Journal Article
%A Schmidt, J
%A Schütz, G. M.
%A van Beijeren, H.
%T A lattice Gas Model for Generic One-Dimensional Hamiltonian Systems
%J Journal of statistical physics
%V 183
%N 1
%@ 0022-4715
%C New York, NY [u.a.]
%I Springer Science + Business Media B.V.
%M FZJ-2021-06107
%P 8
%D 2021
%X We present a three-lane exclusion process that exhibits the same universal fluctuation pattern as generic one-dimensional Hamiltonian dynamics with short-range interactions, viz., with two sound modes in the Kardar-Parisi-Zhang (KPZ) universality class (with dynamical exponent z=3/2 and symmetric Prähofer-Spohn scaling function) and a superdiffusive heat mode with dynamical exponent z=5/3 and symmetric Lévy scaling function. The lattice gas model is amenable to efficient numerical simulation. Our main findings, obtained from dynamical Monte-Carlo simulation, are: (i) The frequently observed numerical asymmetry of the sound modes is a finite time effect. (ii) The mode-coupling calculation of the scale factor for the 5/3-Lévy-mode gives at least the right order of magnitude. (iii) There are significant diffusive corrections which are non-universal.
%F PUB:(DE-HGF)16
%9 Journal Article
%U <Go to ISI:>//WOS:000635906900001
%R 10.1007/s10955-021-02709-1
%U https://juser.fz-juelich.de/record/904537