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Boundary induced phase transition with stochastic entrance and exit

DSpace at IIT Bombay

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Field Value
 
Title Boundary induced phase transition with stochastic entrance and exit
 
Creator MITRA, MK
CHATTERJEE, S
 
Subject phase diagrams (theory)
driven diffusive systems (theory)
stochastic particle dynamics (theory)
ASYMMETRIC EXCLUSION MODEL
MOLECULAR MOTORS
SYSTEMS
COMPARTMENTS
EQUILIBRIUM
PHYSICS
 
Description We study an open-chain totally asymmetric exclusion process (TASEP) with stochastic gates present at the two boundaries. The gating dynamics has been modeled with the physical system of ion-channel gating in mind. These gates can randomly switch between an open state and a closed state. In the open state, the gates are highly permeable such that any particle arriving at the gate immediately passes through. In the closed state, a particle becomes trapped at the gate and cannot pass through until the gate switches open again. We calculate the phase-diagram of the system and find important and non-trivial differences with the phase-diagram of a regular open-chain TASEP. In particular, depending on the switching rates of the two gates, the system may or may not admit a maximal current phase. Our analytic calculations within mean-field theory capture the main qualitative features of our Monte Carlo simulation results. We also perform a refined mean-field calculation where the correlations at the boundaries are taken into account. This theory shows significantly better quantitative agreement with our simulation results.
 
Publisher IOP PUBLISHING LTD
 
Date 2014-12-29T06:18:07Z
2014-12-29T06:18:07Z
2014
 
Type Article
 
Identifier JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT,
1742-5468
http://dx.doi.org/10.1088/1742-5468/2014/10/P10019
http://dspace.library.iitb.ac.in/jspui/handle/100/17291
 
Language English