Perpendicular and Parallel Phase Separation in Two Species Driven Diffusive Lattice Gases

Abstract

We study three different lattice models in which two species of diffusing particles are driven in opposite directions by an electric field. We focus on dynamical phase transitions that involve phase separation into domains that may be parallel or perpendicular to a driving field. In all cases, the perpendicular state appears for weak driving, consistent with previous work. For strong driving, we introduce two models that support the parallel state. In one model, this state occurs because of the inclusion of dynamical rules that enhance lateral diffusion during collisions; in the other, it is a result of a nearest-neighbour attractive/repulsive interaction between particles of the same/opposite species. We discuss the connections between these results and the behaviour found in off-lattice systems, including laning and freezing by heating.

authors' accepted version

References in corpus (13)

• Motility-Induced Phase Separation
• When are active Brownian particles and run-and-tumble particles equivalent? Consequences for motility-induced phase separation
• Universal power law governing pedestrian interactions
• Influence of hydrodynamic interactions on lane formation in oppositely charged driven colloids
• Universal Long Ranged Correlations in Driven Binary Mixtures
• Cooperative Behavior and Pattern Formation in Mixtures of Driven and Nondriven Colloidal Assemblies
• Anomalous nucleation far from equilibrium
• Lane formation in a driven attractive fluid
• Anomalous Dynamical Responses in a Driven System
• Lane formation dynamics of oppositely self-driven binary particles: Effects of density and finite system size
• Kinetic Monte-Carlo Algorithms for Active-Matter systems
• Stochastic Density Functional Theory on Lane Formation in Electric-Field-Driven Ionic Mixtures: Flow-Kernel-Based Formulation
• Negative differential mobility of weakly driven particles in models of glass formers

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