Exclusion process on an open lattice with fluctuating boundaries

S.L. Narasimhan and A. Baumgaertner

Physica A: Statistical Mechanics and its Applications, 2019, vol. 533, issue C

Abstract: We show that the TASEP of a driven system of particles of arbitrary size, with nearest neighbor repulsive interaction, on an open lattice is equivalent to the TASEP of interacting monomers on an open lattice whose size fluctuates in response to the entry and exit of particles. We have presented the maximal current profile as a function of the interaction strength for dimers and tetramers, obtained in Monte Carlo simulation; the results agree well with the ones computed by applying a specific rod-to-monomer mapping to the steady state current and density predicted by a mean-field theory of interacting monomers which adapts a Markov Chain approach for incorporating nearest-neighbor correlations.

Keywords: Drive systems; Exclusion process; Stationary states; Non-equilibrium phases (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:533:y:2019:i:c:s037843711931132x

DOI: 10.1016/j.physa.2019.121930

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