Domain wall delocalization, dynamics and fluctuations in an exclusion process with two internal states
Arnold Sommerfeld Center for Theoretical Physics (ASC) and Center for NanoScience (CeNS), Department of Physics, Ludwig-Maximilians-Universität München, Theresienstrasse 37, D-80333, München, Germany
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Revised: 10 May 2008
Published online: 29 July 2008
We investigate the delocalization transition appearing in an exclusion process with two internal states, respectively on two parallel lanes. At the transition, delocalized domain walls form in the density profiles of both internal states, in agreement with a mean-field approach. Remarkably, the topology of the system’s phase diagram allows for the delocalization of a (localized) domain wall when approaching the transition. We quantify the domain wall’s delocalization close to the transition by analytic results obtained within the framework of the domain wall picture. Power law dependences of the domain wall width on the distance to the delocalization transition as well as on the system size are uncovered, they agree with numerical results.
PACS: 05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion – / 05.60.-k Transport processes – / 64.60.-i General studies of phase transitions – / 72.25.-b Spin polarized transport –
© Springer, 2008