Segregation in diffusion-limited multispecies pair annihilation
dc.contributor.author | Hilhorst, H. J. | en |
dc.contributor.author | Deloubriere, O. | en |
dc.contributor.author | Washenberger, M. J. | en |
dc.contributor.author | Täuber, Uwe C. | en |
dc.contributor.department | Physics | en |
dc.date.accessioned | 2016-09-30T13:07:53Z | en |
dc.date.available | 2016-09-30T13:07:53Z | en |
dc.date.issued | 2004-07-16 | en |
dc.description.abstract | The 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.version | Published version | en |
dc.format.extent | 7063 - 7093 (31) page(s) | en |
dc.identifier.doi | https://doi.org/10.1088/0305-4470/37/28/001 | en |
dc.identifier.issn | 0305-4470 | en |
dc.identifier.issue | 28 | en |
dc.identifier.uri | http://hdl.handle.net/10919/73108 | en |
dc.identifier.volume | 37 | en |
dc.language.iso | en | en |
dc.publisher | IOP | en |
dc.relation.uri | http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000223017100005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1 | en |
dc.rights | In Copyright | en |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
dc.subject | Physics, Multidisciplinary | en |
dc.subject | Physics, Mathematical | en |
dc.subject | Physics | en |
dc.subject | RENORMALIZATION-GROUP | en |
dc.subject | SPECIES ANNIHILATION | en |
dc.subject | PHASE-TRANSITIONS | en |
dc.subject | SPATIAL STRUCTURE | en |
dc.subject | QUANTUM CHAINS | en |
dc.subject | FIELD | en |
dc.subject | PARTICLE | en |
dc.subject | KINETICS | en |
dc.subject | BEHAVIOR | en |
dc.subject | DYNAMICS | en |
dc.title | Segregation in diffusion-limited multispecies pair annihilation | en |
dc.title.serial | Journal of Physics A-Mathematical And General | en |
dc.type | Article - Refereed | en |
pubs.organisational-group | /Virginia Tech | en |
pubs.organisational-group | /Virginia Tech/All T&R Faculty | en |
pubs.organisational-group | /Virginia Tech/Science | en |
pubs.organisational-group | /Virginia Tech/Science/COS T&R Faculty | en |
pubs.organisational-group | /Virginia Tech/Science/Physics | en |