Projection-operator approach to master equations for coarse-grained occupation numbers in nonideal quantum gases

DC FieldValueLanguage
dc.contributor.authorBartsch, Christian
dc.contributor.authorSteinigeweg, Robin
dc.contributor.authorGemmer, Jochen
dc.date.accessioned2021-12-23T16:10:17Z-
dc.date.available2021-12-23T16:10:17Z-
dc.date.issued2010
dc.identifier.issn15393755
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/9256-
dc.description.abstractWe aim at deriving an equation of motion for specific sums of momentum mode occupation numbers from models for electrons in periodic lattices experiencing elastic scattering, electron-phonon scattering, or electron-electron scattering. These sums correspond to ``grains'' in momentum space. This equation of motion is supposed to involve only a moderate number of dynamical variables and/or exhibit a sufficiently simple structure such that neither its construction nor its analyzation or solution requires substantial numerical effort. To this end we compute, by means of a projection operator technique, a linear(ized) collision term which determines the dynamics of the above grain sums. This collision term results as nonsingular finite-dimensional rate matrix and may thus be inverted regardless of any symmetry of the underlying model. This facilitates calculations of, e. g., transport coefficients, as we demonstrate for a three-dimensional Anderson model featuring weak disorder.
dc.description.sponsorshipDeutsche ForschungsgemeinschaftGerman Research Foundation (DFG); We sincerely thank M. Kadiroglu for his contributions to fruitful discussions. Financial support by the ``Deutsche Forschungsgemeinschaft'' is gratefully acknowledged.
dc.language.isoen
dc.publisherAMER PHYSICAL SOC
dc.relation.ispartofPHYSICAL REVIEW E
dc.subjectDERIVATION
dc.subjectIMPURITIES
dc.subjectLOCALIZATION
dc.subjectPhysics
dc.subjectPhysics, Fluids & Plasmas
dc.subjectPhysics, Mathematical
dc.subjectRESIDUAL RESISTIVITY
dc.subjectTRANSPORT
dc.titleProjection-operator approach to master equations for coarse-grained occupation numbers in nonideal quantum gases
dc.typejournal article
dc.identifier.doi10.1103/PhysRevE.81.051115
dc.identifier.isiISI:000278148400025
dc.description.volume81
dc.description.issue5, 1
dc.contributor.orcid0000-0003-0608-0884
dc.contributor.researcheridA-5205-2009
dc.identifier.eissn15502376
dc.publisher.placeONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
dcterms.isPartOf.abbreviationPhys. Rev. E
dcterms.oaStatusGreen Submitted
crisitem.author.deptFB 04 - Physik-
crisitem.author.deptidfb04-
crisitem.author.orcid0000-0003-0608-0884-
crisitem.author.parentorgUniversität Osnabrück-
crisitem.author.netidStRo766-
crisitem.author.netidGeJo743-
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