# Dynamical transitions in a driven diffusive model with interactions

Source: [Dynamical transitions in a driven diffusive model with interactions](<https://www.sota2.com/research/paper/68fa3b4b1e209131ce8d1b0a>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T00:32:03.734Z

Authors: D. Botto, A. Pelizzola, M. Pretti

Published: 2020-01-21T11:57:42.000Z

## Abstract

We study the dynamics of an asymmetric simple exclusion process with open boundaries and local interactions using a pair approximation which generalizes the 2-node cluster mean field theory and the Markov chain approach to kinetics and shares with these approaches the property of reproducing exact results for the bulk current-density relation and the steady state phase diagrams. We find that the relaxation rate exhibits a dynamical transition, with no static counterpart, analogous to that found without interactions. Remarkably, for some values of the model's parameters, we find 2 dynamical transitions in the same low density phase. We study the dynamics of relaxation to the steady state on both sides of these transitions and make an attempt at providing a physical interpretation for this phenomenon. Results from numerical approaches and a modified Domain Wall Theory confirm the picture provided by the pair approximation.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2001.07456>)

[PDF](<https://arxiv.org/pdf/2001.07456.pdf>)