Extended phase diagram of ASEP with two types of particles

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buir.advisorYalabık, Cemal
dc.contributor.authorYeşil, Ayşe Ferhan
dc.date.accessioned2016-01-08T18:13:00Z
dc.date.available2016-01-08T18:13:00Z
dc.date.issued2010
dc.departmentDepartment of Physicsen_US
dc.descriptionAnkara : The Department of Physics and the Institute of Engineering and Science of Bilkent University, 2010.en_US
dc.descriptionThesis (Master's) -- Bilkent University, 2010.en_US
dc.descriptionIncludes bibliographical references leaves 25-26.en_US
dc.description.abstractThe ASEP (Asymmetric Simple Exclusion Process) model system with two types of particles is studied. The system is interesting because it exhibits spontaneous symmetry breaking when parameters controlling the dynamics of the two types of particles of the same system. By using Mean Field approximation its extended phase diagram was obtained for non-symmetric values of entering rates of the two types of particles. The system is understood to be the combination of two decoupled ASEP systems with one type of particle system for the values of equal hopping and exchange rates. (Evans et al.,PR E, 74 208, (1995)) It is understood that for the exchange rates different from the hopping rates the system can no longer be analyzed as combination of two decoupled one particle ASEP. The “tiny phase” first observed by Evans et al, is examined in more detail. It is found that this phase still exists when entering rates are not symmetric. Also, Monte Carlo simulations for certain values of parameters of the system were carried out to determine the particle density profiles. The phase diagram of the system displays unexpectedly rich structure for the relatively simple dynamics.en_US
dc.description.degreeM.S.en_US
dc.description.statementofresponsibilityYeşil, Ayşe Ferhanen_US
dc.format.extentxi, 39 leaves, ıllustrations, graphicsen_US
dc.identifier.itemidB124305
dc.identifier.urihttp://hdl.handle.net/11693/15082
dc.language.isoEnglishen_US
dc.publisherBilkent Universityen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectASEPen_US
dc.subjectSteady stateen_US
dc.subjectNonequilibriumen_US
dc.subjectPhase diagramen_US
dc.subjectSpontaneous symmetry breakingen_US
dc.subject.lccQC174.17.S9 Y47 2010en_US
dc.subject.lcshBroken symmetry (Physics)en_US
dc.subject.lcshPhase transformations (Statistical physics)en_US
dc.subject.lcshPhase diagrams.en_US
dc.subject.lcshParticles.en_US
dc.titleExtended phase diagram of ASEP with two types of particlesen_US
dc.typeThesisen_US
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