This title appears in the Scientific Report :
2015
Please use the identifier:
http://dx.doi.org/10.1007/s10955-015-1241-x in citations.
Universality Classes in Two-Component Driven Diffusive Systems
Universality Classes in Two-Component Driven Diffusive Systems
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 expon...
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Personal Name(s): | Popkov, V. |
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Schmidt, J. / Schütz, G. M. (Corresponding author) | |
Contributing Institute: |
Theorie der Weichen Materie und Biophysik; IAS-2 Theorie der Weichen Materie und Biophysik; ICS-2 |
Published in: | Journal of statistical physics, 160 (2015) 4, S. 835 - 860 |
Imprint: |
New York, NY [u.a.]
Springer Science + Business Media B.V.
2015
|
DOI: |
10.1007/s10955-015-1241-x |
Document Type: |
Journal Article |
Research Program: |
Functional Macromolecules and Complexes |
Publikationsportal JuSER |
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. |