Efficient Numeric Computation of a Phase Diagram in Biased Diffusion of Two Species

dc.contributor.authorParks, Michael Lawrenceen
dc.contributor.committeechairRibbens, Calvin J.en
dc.contributor.committeememberZia, Royce K. P.en
dc.contributor.committeememberAllison, Donald C. S.en
dc.contributor.committeememberSchmittmann, Beateen
dc.contributor.departmentComputer Scienceen
dc.date.accessioned2014-03-14T20:37:19Zen
dc.date.adate2000-05-23en
dc.date.available2014-03-14T20:37:19Zen
dc.date.issued2000-05-09en
dc.date.rdate2001-05-23en
dc.date.sdate2000-05-17en
dc.description.abstractA lattice gas with equal numbers of oppositely charged particles, diffusing under the influence of a uniform electric field and an excluded volume condition undergoes an order-disorder phase transition, controlled by the particle density and the field strength. This transition may be continuous (second order) or continuous (first order). Results from previous discrete simulations are shown, and a theoretical continuum model is developed. As this is a nonequilibrium system, there is no associated free energy to determine the location of a first order transition. Instead, the model equations for this system are evolved in time numerically, and the locus of this transition is determined via the presence of a stable state with coexisting regions of order and disorder. The Crank-Nicholson, nonlinear Gauss-Seidel, and GMRES algorithms used to solve the model equations are discussed. Performance enhancements and limits on convergence are considered.en
dc.description.degreeMaster of Scienceen
dc.identifier.otheretd-05172000-14430029en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-05172000-14430029/en
dc.identifier.urihttp://hdl.handle.net/10919/32896en
dc.publisherVirginia Techen
dc.relation.haspartphi-i.avien
dc.relation.haspartpsi-h.avien
dc.relation.haspartpsi-i.avien
dc.relation.haspartthesis.pdfen
dc.relation.haspartphi-h.avien
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectPhase Transitionen
dc.subjectNonlinear Gauss-Seidelen
dc.subjectDriven Lattice Gasen
dc.titleEfficient Numeric Computation of a Phase Diagram in Biased Diffusion of Two Speciesen
dc.typeThesisen
thesis.degree.disciplineComputer Scienceen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen
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