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dc.contributor.authorThies, Michaelen
dc.date.accessioned2014-03-14T20:52:23Zen
dc.date.available2014-03-14T20:52:23Zen
dc.date.issued1998-09-09en
dc.identifier.otheretd-81198-19472en
dc.identifier.urihttp://hdl.handle.net/10919/36977en
dc.description.abstractPhase segregated states in a simple three-state stochastic lattice gas are investigated. A two dimensional finite lattice with periodic boundary conditions is filled with one hole and two oppositely "charged" species of particles, subject to an excluded volume constraint. Starting from a completely disordered initial configuration, a sufficiently large external "electric" field E induces the phase segregation, by separating the charges into two strips and "trapping" the hole at an interface between them. Focusing on the steady state, the scaling properties of an appropriate order parameter, depending on drive and system size, are investigated by mean-field theory and Monte Carlo methods. Density profiles of the two interfaces in the ordered system are studied with the help of Monte Carlo simulations and are found to scale in the field-dependent variable, e = 2 tanh E /2), for E less than or greater to 0.8. For larger values of E, independent approximations of the interfacial profiles, obtained within the framework of mean-field theory, exhibit significant deviations from the Monte Carlo data. Interestingly, the deviations can be reduced significantly by a slight modification of the mean-field theory.en
dc.publisherVirginia Techen
dc.relation.haspartetd.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectMean-Field Theo ryen
dc.subjectDriven Lattice Gasen
dc.subjectMonte Carlo Simulationen
dc.subjectScalingen
dc.titleScaling of Steady States in a Simple Driven Three-State Lattice Gasen
dc.typeThesisen
dc.contributor.departmentPhysicsen
dc.description.degreeMaster of Scienceen
thesis.degree.nameMaster of Scienceen
thesis.degree.levelmastersen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.disciplinePhysicsen
dc.contributor.committeechairSchmittmann, Beateen
dc.contributor.committeememberZia, Royce K. P.en
dc.contributor.committeememberHeflin, James R.en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-81198-19472/en
dc.date.sdate1998-09-09en
dc.date.rdate1999-09-15en
dc.date.adate1998-09-15en


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