Journal Article FZJ-2015-05138

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Universality Classes in Two-Component Driven Diffusive Systems

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2015
Springer Science + Business Media B.V. New York, NY [u.a.]

Journal of statistical physics 160(4), 835 - 860 () [10.1007/s10955-015-1241-x]

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Abstract: We study time-dependent density fluctuations in the stationary state of driven diffusive systems with two conserved densities ρλ. 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+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 Lévy 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 ρ2λρμ. 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.

Classification:

Contributing Institute(s):
  1. Theorie der Weichen Materie und Biophysik (IAS-2)
  2. Theorie der Weichen Materie und Biophysik (ICS-2)
Research Program(s):
  1. 551 - Functional Macromolecules and Complexes (POF3-551) (POF3-551)

Appears in the scientific report 2015
Database coverage:
Medline ; Current Contents - Physical, Chemical and Earth Sciences ; IF < 5 ; JCR ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection
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Institute Collections > IAS > IAS-2
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 Record created 2015-08-05, last modified 2024-06-10


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