Multiple Shocks in a Driven Diffusive System with Two Species of Particles

Abstract

A one-dimensional driven diffusive system with two types of particles and nearest neighbors interactions has been considered on a finite lattice with open boundaries. The particles can enter and leave the system from both ends of the lattice and there is also a probability for converting the particle type at the boundaries. We will show that on a special manifold in the parameters space multiple shocks evolve in the system for both species of particles which perform continuous time random walks on the lattice.

11 pages, 1 figure, accepted for publication in Physica A

References in corpus (3)

• Microscopic structure of travelling wave solutions in a class of stochastic interacting particle systems
• Exact shock measures and steady-state selection in a driven diffusive system with two conserved densities
• Matrix Product States of Three Families of One-Dimensional Interacting Particle Systems

Cited by in corpus (9)

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• Matrix Product Steady States as Superposition of Product Shock Measures in 1D Driven Systems
• Phase transitions in systems possessing Shock solutions
• The Study of Shocks in Three-States Driven-Diffusive Systems: A Matrix Product Approach
• Multi shocks in Reaction-diffusion models
• Dynamical Critical Exponent for Two-Species Totally Asymmetric Diffusion on a Ring
• Repelling Random Walkers in a Diffusion-Coalescence System
• Finite-dimensional representation of the quadratic algebra of a generalized coagulation-decoagulation model
• Connection between matrix-product states and superposition of Bernoulli shock measures