A second-order Markov process for modeling diffusive motion through spatial discretization

dc.contributor.authorSant, M.en
dc.contributor.authorPapadopoulos, G. K.en
dc.contributor.authorTheodorou, D. N.en
dc.date.accessioned2015-11-24T19:39:09Z
dc.date.available2015-11-24T19:39:09Z
dc.identifier.issn0021-9606-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/24218
dc.rightsDefault Licence-
dc.titleA second-order Markov process for modeling diffusive motion through spatial discretizationen
heal.abstractA new "mesoscopic" stochastic model has been developed to describe the diffusive behavior of a system of particles at equilibrium. The model is based on discretizing space into slabs by drawing equispaced parallel planes along a coordinate direction. A central role is played by the probability that a particle exits a slab via the face opposite to the one through which it entered (transmission probability), as opposed to exiting via the same face through which it entered (reflection probability). A simple second-order Markov process invoking this probability is developed, leading to an expression for the self-diffusivity, applicable for large slab widths, consistent with a continuous formulation of diffusional motion. This model is validated via molecular dynamics simulations in a bulk system of soft spheres across a wide range of densities.en
heal.accesscampus-
heal.fullTextAvailabilityTRUE-
heal.identifier.primary10.1063/1.2813416-
heal.identifier.secondaryhttp://www.ncbi.nlm.nih.gov/pubmed/18205456-
heal.identifier.secondaryhttp://link.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf&id=JCPSA6000128000002024504000001-
heal.journalNameJ Chem Physen
heal.journalTypepeer-reviewed-
heal.languageen-
heal.publicationDate2008-
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Επιστημών Υγείας. Τμήμα Ιατρικήςel
heal.typejournalArticle-
heal.type.elΆρθρο Περιοδικούel
heal.type.enJournal articleen

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