Structure Factors and Their Distributions in Driven Two-Species Models

Abstract

We study spatial correlations and structure factors in a three-state stochastic lattice gas, consisting of holes and two oppositely ``charged'' species of particles, subject to an ``electric'' field at zero total charge. The dynamics consists of two nearest-neighbor exchange processes, occuring on different times scales, namely, particle-hole and particle-particle exchanges. Using both, Langevin equations and Monte Carlo simulations, we study the steady-state structure factors and correlation functions in the disordered phase, where density profiles are homogeneous. In contrast to equilibrium systems, the average structure factors here show a discontinuity singularity at the origin. The associated spatial correlation functions exhibit intricate crossovers between exponential decays and power laws of different kinds. The full probability distributions of the structure factors are universal asymmetric exponential distributions.

RevTex, 18 pages, 4 postscript figures included, mistaken half-empty page corrected

Cited by in corpus (7)

• Driven Diffusive Systems: An Introduction and Recent Developments
• Spontaneous Breaking of Translational Invariance and Spatial Condensation in Stationary States on a Ring: I. The Neutral System
• Ecological Invasion, Roughened Fronts, and a Competitor's Extreme Advance: Integrating Stochastic Spatial-Growth Models
• Heuristic derivation of continuum kinetic equations from microscopic dynamics
• Random Walk with a Hop-Over Site: A Novel Approach to Tagged Diffusion and Its Applications
• Extraordinary Sex Ratios: Cultural Effects on Ecological Consequences
• Restoration Ecology: Two-Sex Dynamics and Cost Minimization