Numerical survey of the tunable condensate shape and scaling laws in pair-factorized steady states

TL;DR

This paper numerically investigates the shapes and scaling laws of particle condensates in pair-factorized steady states of a stochastic transport process, revealing how condensate properties depend on model parameters.

Contribution

It provides a detailed numerical survey of condensate shapes and their scaling laws, advancing understanding of phase behavior in pair-factorized steady states.

Findings

Identified various condensate shapes across parameter regimes

Determined precise scaling laws for condensate width

Mapped the relationship between model parameters and condensate properties

Abstract

We numerically survey predictions on the shapes and scaling laws of particle condensates that emerge as a result of spontaneous symmetry breaking in pair- factorized steady states of a stochastic transport process. The specific model consists of indistinguishable particles that stochastically hop between sites controlled by a tunable potential. We identify the different condensate shapes within their respective parameter regimes as well as determine precisely the condensate width scaling.