Volume 124, Number 5, December 2018
|Number of page(s)||7|
|Published online||27 December 2018|
Dynamical transitions in a driven diffusive model with interactions
1 Dipartimento di Scienza Applicata e Tecnologia, Politecnico di Torino - Corso Duca degli Abruzzi 24, I-10129 Torino, Italy
2 INFN, Sezione di Torino - Via Pietro Giuria 1, I-10125 Torino, Italy
3 Consiglio Nazionale delle Ricerche - Istituto dei Sistemi Complessi (CNR-ISC) - Via dei Taurini 19, I-00185 Roma, Italy
Received: 9 August 2018
Accepted: 23 November 2018
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.
PACS: 05.70.Fh – Phase transitions: general studies / 02.50.Ga – Markov processes / 89.75.-k – Complex systems
© EPLA, 2018
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