Description: A lattice Gas Model for Generic One-Dimensional Hamiltonian Systems

This title appears in the Scientific Report : 2021

A lattice Gas Model for Generic One-Dimensional Hamiltonian Systems

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 Pr...

Personal Name(s):	Schmidt, J (Corresponding author)
	Schütz, G. M. / van Beijeren, H.
Contributing Institute:	Theoretische Physik der Lebenden Materie; IBI-5 Theorie der Weichen Materie und Biophysik; IAS-2
Published in:	Journal of statistical physics, 183 (2021) 1, S. 8
Imprint:	New York, NY [u.a.] Springer Science + Business Media B.V. 2021
DOI:	10.1007/s10955-021-02709-1
Document Type:	Journal Article
Research Program:	Molecular Information Processing in Cellular Systems
Link:	OpenAccess
	Publikationsportal JuSER

Please use the identifier: http://dx.doi.org/10.1007/s10955-021-02709-1 in citations.
Please use the identifier: http://hdl.handle.net/2128/30561 in citations.

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.