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

TL;DR

This paper investigates a one-dimensional driven diffusive system with two particle types, revealing conditions under which multiple shocks form and perform random walks, influenced by boundary interactions and particle conversions.

Contribution

It introduces a specific parameter manifold where multiple shocks emerge and move randomly in a two-species driven diffusive system with boundary conversions.

Findings

Multiple shocks evolve on a special parameter manifold.

Shocks perform continuous-time random walks.

System dynamics depend on boundary conversion probabilities.

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.