Segregation in diffusion-limited multispecies pair annihilation

dc.contributor.authorHilhorst, H. J.en
dc.contributor.authorDeloubriere, O.en
dc.contributor.authorWashenberger, M. J.en
dc.contributor.authorTäuber, Uwe C.en
dc.contributor.departmentPhysicsen
dc.date.accessioned2016-09-30T13:07:53Zen
dc.date.available2016-09-30T13:07:53Zen
dc.date.issued2004-07-16en
dc.description.abstractThe kinetics of the q species pair annihilation reaction (A<sub>i</sub> + A<sub>j</sub> → ∅ for 1 ≤ i < j ≤ q) in d dimensions is studied by means of analytical considerations and Monte Carlo simulations. In the long-time regime the total particle density decays as ρ(t) ∼ t<sup>-∞</sup>. For d = 1 the system segregates into single species domains, yielding a different value of α for each q; for a simplified version of the model in one dimension we derive α(q) = (q − 1)/(2q). Within mean-field theory, applicable in d ≥ 2, segregation occurs only for q < 1 + (4/d). The only physical realization of this scenario is the two-species process (q = 2) in d = 2 and d = 3, governed by an extra local conservation law. For d ≥ 2 and q ≥ 1 + (4/d) the system remains disordered and its density is shown to decay universally with the mean-field power law (α = 1) that also characterizes the single-species annihilation process A + A → ∅.en
dc.description.versionPublished versionen
dc.format.extent7063 - 7093 (31) page(s)en
dc.identifier.doihttps://doi.org/10.1088/0305-4470/37/28/001en
dc.identifier.issn0305-4470en
dc.identifier.issue28en
dc.identifier.urihttp://hdl.handle.net/10919/73108en
dc.identifier.volume37en
dc.language.isoenen
dc.publisherIOPen
dc.relation.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000223017100005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectPhysics, Multidisciplinaryen
dc.subjectPhysics, Mathematicalen
dc.subjectPhysicsen
dc.subjectRENORMALIZATION-GROUPen
dc.subjectSPECIES ANNIHILATIONen
dc.subjectPHASE-TRANSITIONSen
dc.subjectSPATIAL STRUCTUREen
dc.subjectQUANTUM CHAINSen
dc.subjectFIELDen
dc.subjectPARTICLEen
dc.subjectKINETICSen
dc.subjectBEHAVIORen
dc.subjectDYNAMICSen
dc.titleSegregation in diffusion-limited multispecies pair annihilationen
dc.title.serialJournal of Physics A-Mathematical And Generalen
dc.typeArticle - Refereeden
pubs.organisational-group/Virginia Techen
pubs.organisational-group/Virginia Tech/All T&R Facultyen
pubs.organisational-group/Virginia Tech/Scienceen
pubs.organisational-group/Virginia Tech/Science/COS T&R Facultyen
pubs.organisational-group/Virginia Tech/Science/Physicsen

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