Universität zu Köln

Popkov, V., Schmidt, J. and Schuetz, G. M. (2015). Universality Classes in Two-Component Driven Diffusive Systems. J. Stat. Phys., 160 (4). S. 835 - 861. NEW YORK: SPRINGER. ISSN 1572-9613

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Abstract

We study time-dependent density fluctuations in the stationary state of driven diffusive systems with two conserved densities rho(lambda). Using Monte-Carlo simulations of two coupled single-lane asymmetric simple exclusion processes we present numerical evidence for universality classes with dynamical exponents z = (1 + root 5)/2 and z = 3/2 (but different from the Kardar-Parisi-Zhang (KPZ) universality class), which have not been reported yet for driven diffusive systems. The numerical asymmetry of the dynamical structure functions converges slowly for some of the non-KPZ superdiffusive modes for which mode coupling theory predicts maximally asymmetric z-stable Levy scaling functions. We show that all universality classes predicted by mode coupling theory for two conservation laws are generic: they occur in two-component systems with nonlinearities in the associated currents already of the minimal order rho(2)(lambda)rho(mu). The macroscopic stationary current-density relation and the compressibility matrix determine completely all permissible universality classes through the mode coupling coefficients which we compute explicitly for general two-component systems.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Popkov, V. UNSPECIFIED UNSPECIFIED UNSPECIFIED Schmidt, J. UNSPECIFIED UNSPECIFIED UNSPECIFIED Schuetz, G. M. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-397768
DOI:	10.1007/s10955-015-1241-x
Journal or Publication Title:	J. Stat. Phys.
Volume:	160
Number:	4
Page Range:	S. 835 - 861
Date:	2015
Publisher:	SPRINGER
Place of Publication:	NEW YORK
ISSN:	1572-9613
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language SPONTANEOUS SYMMETRY-BREAKING; HYDRODYNAMIC LIMIT; PHASE-SEPARATION; DYNAMICS; MODEL; STATES Multiple languages Physics, Mathematical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/39776