Journal Article

FZJ-2021-06107

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png A lattice Gas Model for Generic One-Dimensional Hamiltonian Systems

Schmidt, J. (Corresponding author)FZJ* ; Schütz, G. M.FZJ* ; van Beijeren, H.

2021
Springer Science + Business Media B.V. New York, NY [u.a.]

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Please use a persistent id in citations: http://hdl.handle.net/2128/30561  doi:10.1007/s10955-021-02709-1

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 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.

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Contributing Institute(s):

1. Theoretische Physik der Lebenden Materie (IBI-5)
2. Theorie der Weichen Materie und Biophysik (IAS-2)

Research Program(s):

1. 5241 - Molecular Information Processing in Cellular Systems (POF4-524) (POF4-524)

Appears in the scientific report 2021

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Database coverage:
; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; DEAL Springer ; Ebsco Academic Search ; Essential Science Indicators ; IF < 5 ; JCR ; Nationallizenz ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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