Condensation transition in a model with attractive particles and non-local hops

TL;DR

This paper investigates a one-dimensional nonequilibrium lattice model with attractive particles and non-local hops, revealing a phase transition from a condensate to a homogeneous phase as the non-local hop probability increases.

Contribution

It introduces a model combining attraction and non-local hopping, demonstrating a phase transition not predicted by mean-field theory, supported by numerical and heuristic analysis.

Findings

System exhibits a phase transition at a critical probability p_c

Mean-field approximation fails to predict the phase transition

Numerical results confirm the transition from condensate to homogeneous phase

Abstract

We study a one dimensional nonequilibrium lattice model with competing features of particle attraction and non-local hops. The system is similar to a zero range process (ZRP) with attractive particles but the particles can make both local and non-local hops. The length of the non-local hop is dependent on the occupancy of the chosen site and its probability is given by the parameter $p$. Our numerical results show that the system undergoes a phase transition from a condensate phase to a homogeneous density phase as $p$ is increased beyond a critical value $p_c$. A mean-field approximation does not predict a phase transition and describes only the condensate phase. We provide heuristic arguments for understanding the numerical results.