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Dynamic boundaries in asymmetric exclusion processes

Nowak, Sarah A. and Fok, Pak-Wing and Chou, Tom (2007) Dynamic boundaries in asymmetric exclusion processes. Physical Review E, 76 (3). Art. No. 031135. ISSN 1539-3755. doi:10.1103/PhysRevE.76.031135.

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We investigate the dynamics of a one-dimensional asymmetric exclusion process with Langmuir kinetics and a fluctuating wall. At the left-hand boundary, particles are injected onto the lattice; from there, the particles hop to the right. Along the lattice, particles can adsorb or desorb, and the right-hand boundary is defined by a wall particle. The confining wall particle has intrinsic forward and backward hopping, a net leftward drift, and cannot desorb. Performing Monte Carlo simulations and using a moving-frame finite segment approach coupled to mean field theory, we find the parameter regimes in which the wall acquires a steady-state position. In other regimes, the wall will either drift to the left and fall off the lattice at the injection site, or drift indefinitely to the right. Our results are discussed in the context of nonequilibrium phases of the system, fluctuating boundary layers, and particle densities in the laboratory frame versus the frame of the fluctuating wall.

Item Type:Article
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Fok, Pak-Wing0000-0001-9655-614X
Additional Information:© 2007 The American Physical Society. (Received 3 May 2007; published 27 September 2007) This material is based upon work supported by the National Science Foundation Graduate Research Program. The authors also acknowledge support from the NSF through Grant No. DMS-0349195, and the NIH through Grant No. K25 AI41935.
Funding AgencyGrant Number
NSF Graduate Research FellowshipUNSPECIFIED
NIHK25 AI41935
Subject Keywords:adsorption; boundary-value problems; desorption; Monte Carlo methods
Issue or Number:3
Record Number:CaltechAUTHORS:NOWpre07
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:8925
Deposited By: Archive Administrator
Deposited On:01 Oct 2007
Last Modified:08 Nov 2021 20:54

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