Phase Transition in Two Species Zero-Range Process

TL;DR

This paper investigates a two-species zero-range process, revealing a new condensation transition mechanism where one species induces the other's condensation, with conditions for a simple steady state derived.

Contribution

It introduces a novel condensation transition mechanism in two-species zero-range processes and derives conditions for a factorised steady state.

Findings

Steady state has a simple factorised form under certain conditions.

One species can induce condensation of the other.

A specific dynamics choice illustrates the new mechanism.

Abstract

We study a zero-range process with two species of interacting particles. We show that the steady state assumes a simple factorised form, provided the dynamics satisfy certain conditions, which we derive. The steady state exhibits a new mechanism of condensation transition wherein one species induces the condensation of the other. We study this mechanism for a specific choice of dynamics.