Analytic Form of the Quasi-stationary Distribution of a Simple Birth-Death Process
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Lee, Julian | - |
dc.date.available | 2020-10-28T03:40:10Z | - |
dc.date.created | 2020-10-28 | - |
dc.date.issued | 2020-09 | - |
dc.identifier.issn | 0374-4884 | - |
dc.identifier.uri | http://scholarworks.bwise.kr/ssu/handle/2018.sw.ssu/39694 | - |
dc.description.abstract | I consider a simple birth-death model with an absorbing state, where the stable fixed point of the corresponding deterministic mean-field dynamics turns into a transient peak of the probability distribution due to the presence of a tiny fluctuation. The model satisfies the detailed-balance condition, enabling one not only to obtain the analytic form of a quasi-stationary distribution, but also to obtain the analytic form of the escape time under the assumption of quasi-stationarity. I argue that the quasi-steady distribution with exponentially decaying normalization is an excellent approximation of the dynamics at late times, especially for small fluctuations. The analytic expressions for the quasi-stationary distribution and the escape time are expected to be more accurate, hence more useful, for systems with larger sizes. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | KOREAN PHYSICAL SOC | - |
dc.relation.isPartOf | JOURNAL OF THE KOREAN PHYSICAL SOCIETY | - |
dc.title | Analytic Form of the Quasi-stationary Distribution of a Simple Birth-Death Process | - |
dc.type | Article | - |
dc.identifier.doi | 10.3938/jkps.77.457 | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | JOURNAL OF THE KOREAN PHYSICAL SOCIETY, v.77, no.6, pp.457 - 462 | - |
dc.identifier.kciid | ART002629930 | - |
dc.description.journalClass | 1 | - |
dc.identifier.wosid | 000574224800001 | - |
dc.identifier.scopusid | 2-s2.0-85091716390 | - |
dc.citation.endPage | 462 | - |
dc.citation.number | 6 | - |
dc.citation.startPage | 457 | - |
dc.citation.title | JOURNAL OF THE KOREAN PHYSICAL SOCIETY | - |
dc.citation.volume | 77 | - |
dc.contributor.affiliatedAuthor | Lee, Julian | - |
dc.type.docType | Article | - |
dc.description.isOpenAccess | N | - |
dc.subject.keywordAuthor | Stochastic process | - |
dc.subject.keywordAuthor | Quasi-stationary state | - |
dc.subject.keywordAuthor | Master equation | - |
dc.subject.keywordAuthor | Analytic solution | - |
dc.subject.keywordAuthor | Population dynamics | - |
dc.relation.journalResearchArea | Physics | - |
dc.relation.journalWebOfScienceCategory | Physics, Multidisciplinary | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.description.journalRegisteredClass | kci | - |
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