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.
Dynamical transitions in a driven diffusive model with interactions / Botto, D.; Pelizzola, A.; Pretti, M.. - In: EUROPHYSICS LETTERS. - ISSN 1286-4854. - STAMPA. - 124:5(2018), p. 50004. [10.1209/0295-5075/124/50004]
|Titolo:||Dynamical transitions in a driven diffusive model with interactions|
|Data di pubblicazione:||2018|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1209/0295-5075/124/50004|
|Appare nelle tipologie:||1.1 Articolo in rivista|