Universality classes in two-component driven diffusive systems

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 $z=(1+\sqrt{5})/2$ 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 ${\rho }_{\lambda }^2{\rho }_{\mu }$. 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.

37 pages, 11 figures, a reference added, some typos corrected and some figures replaced + various cosmetic changes

References in corpus (5)

• Exact scaling functions for one-dimensional stationary KPZ growth
• Numerical test of hydrodynamic fluctuation theory in the Fermi-Pasta-Ulam chain
• Nonlinear Fluctuating Hydrodynamics in One Dimension: the Case of Two Conserved Fields
• Exact shock measures and steady-state selection in a driven diffusive system with two conserved densities
• Non-KPZ modes in two-species driven diffusive systems

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• A lattice gas model for generic one-dimensional Hamiltonian Systems
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• Miscible-Immiscible Transition and Nonequilibrium Scaling in Two-Component Driven Open Condensate Wires
• On energy solutions to stochastic Burgers equation
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• Universality in many-body driven systems with an umbilic point
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• A Novel Mechanism of Ordering in a Coupled Driven System: Vacancy Induced Phase Separation
• Universality in driven systems with a multiply-degenerate umbilic point
• Non-equilibrium stationary properties of the boundary driven zero-range process with long jumps