Non-equilibrium Phase Transitions and Steady States in Biased Diffusion of Two Species

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dc.contributor.authorKorniss, Györgyen
dc.contributor.committeechairSchmittmann, Beateen
dc.contributor.committeememberHeflin, James R.en
dc.contributor.committeememberZia, Royce K. P.en
dc.contributor.committeememberWilliams, Clayton D.en
dc.contributor.committeememberIndebetouw, Guy J.en
dc.contributor.departmentPhysicsen
dc.date.accessioned2014-03-14T20:22:12Zen
dc.date.adate1997-04-21en
dc.date.available2014-03-14T20:22:12Zen
dc.date.issued1997-04-21en
dc.date.rdate1997-04-21en
dc.date.sdate1998-07-17en
dc.description.abstractWe investigate the dynamics of a three-state stochastic lattice gas, consisting of holes and two oppositely "charged" species of particles, under the influence of an "electric" field, at zero total charge. Interacting only through an excluded volume constraint, particles can hop to nearest neighbor empty sites, but particle-particle exchange between oppositely charged particles is also allowed on a separate time scale. Controlled by this relative time scale, particle density and drive, the system orders into a charge-segregated state. Using a combination of Monte Carlo simulations and continuum field theory techniques, we study the order of these transitions and map out the steady state phase diagram of the system. On a single sheet of transitions, a line of multicritical points is found, separating the first order and continuous transitions. Furthermore, we study the steady-state structure factors in the disordered phase where homogeneous configurations are stable against small harmonic perturbations. The average structure factors show a discontinuity singularity at the origin which in real space predicts an intricate crossover between power laws of different kinds. We also seek for generic statistical properties of these quantities. The probability distributions of the structure factors are universal asymmetric exponential distributions. This research was supported in part by grants from the National Science Foundation through the Division of Materials Research.en
dc.description.degreePh. D.en
dc.format.extentviii, 102 leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-5637112239721111en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-5637112239721111/en
dc.identifier.urihttp://hdl.handle.net/10919/30607en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartetd.pdfen
dc.relation.haspartkorniss.pdfen
dc.relation.isformatofOCLC# 38740964en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectorder-disorder transitionen
dc.subjectMonte Carlo simulationsen
dc.subjectcontinuum field theoryen
dc.subjectdriven lattice gasen
dc.subject.lccLD5655.V856 1997.K676en
dc.titleNon-equilibrium Phase Transitions and Steady States in Biased Diffusion of Two Speciesen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplinePhysicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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