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Schmidt, J., Schutz, G. M. and van Beijeren, H. (2021). A lattice Gas Model for Generic One-Dimensional Hamiltonian Systems. J. Stat. Phys., 183 (1). NEW YORK: SPRINGER. ISSN 1572-9613

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Abstract

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 Prahofer-Spohn scaling function) and a superdiffusive heat mode with dynamical exponent z = 5/3 and symmetric Levy 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-Levy-mode gives at least the right order of magnitude. (iii) There are significant diffusive corrections which are non-universal.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Schmidt, J. UNSPECIFIED UNSPECIFIED UNSPECIFIED Schutz, G. M. UNSPECIFIED UNSPECIFIED UNSPECIFIED van Beijeren, H. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-585468
DOI:	10.1007/s10955-021-02709-1
Journal or Publication Title:	J. Stat. Phys.
Volume:	183
Number:	1
Date:	2021
Publisher:	SPRINGER
Place of Publication:	NEW YORK
ISSN:	1572-9613
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language UNIVERSALITY; SUPERDIFFUSION Multiple languages Physics, Mathematical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/58546