TY  - JOUR
AU  - Schmidt, J
AU  - Schütz, G. M.
AU  - van Beijeren, H.
TI  - A lattice Gas Model for Generic One-Dimensional Hamiltonian Systems
JO  - Journal of statistical physics
VL  - 183
IS  - 1
SN  - 0022-4715
CY  - New York, NY [u.a.]
PB  - Springer Science + Business Media B.V.
M1  - FZJ-2021-06107
SP  - 8
PY  - 2021
AB  - 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.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000635906900001
DO  - DOI:10.1007/s10955-021-02709-1
UR  - https://juser.fz-juelich.de/record/904537
ER  -