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arXiv · 1302.6675

Phase transition and phase coexistence in coupled rings with driven exclusion process

Rakesh Chatterjee·Anjan Kumar Chandra·Abhik Basu
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Abstract

We study one-dimensional exclusion processes in two coupled closed rings consisting of a common diffusive channel and two parallel active (driven) channels. Our model displays bulk-driven phase transition and phase coexistence in the form of a localised domain wall (DW) in one of the active channels in a limit where the diffusive and driven dynamics compete. By controlling a splitting parameter which tunes the in-coming currents into the active channels, the system can be brought to a delocalisation transition, when delocalised DWs are formed in both the active channels. We characterise the DW fluctuations numerically.

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Rakesh Chatterjee, Anjan Kumar Chandra, Abhik Basu. 2013-03-26. Phase transition and phase coexistence in coupled rings with driven exclusion process. https://doi.org/10.1103/physreve.87.032157

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