Reaction-controlled diffusion
| dc.contributor.author | Trimper, S. | en |
| dc.contributor.author | Täuber, Uwe C. | en |
| dc.contributor.author | Schutz, G. M. | en |
| dc.contributor.department | Physics | en |
| dc.date.accessioned | 2016-09-29T23:49:18Z | en |
| dc.date.available | 2016-09-29T23:49:18Z | en |
| dc.date.issued | 2000-11-01 | en |
| dc.description.abstract | The dynamics of a coupled two-component nonequilibrium system is examined by means of continuum field theory representing the corresponding master equation. Particles of species A may perform hopping processes only when particles of different type B are present in their environment. Species B is subject to diffusion-limited reactions. If the density of B particles attains a finite asymptotic value (active state), the A species displays normal diffusion. On the other hand, if the B density decays algebraically ∝ t<sup>−α</sup> at long times (inactive state), the effective attractive A-B interaction is weakened. The combination of B decay and activated A hopping processes gives rise to anomalous diffusion, with mean-square displacement <x<sub>A</sub>(t)<sup>2</sup> ∝ t<sup>1−α</sup> for α < 1. Such algebraic subdiffusive behavior ensues for n-th order B annihilation reactions (nB → ∅) with n ≥ 3, and n = 2 for d < 2. The mean-square displacement of the A particles grows only logarithmically with time in the case of B pair annihilation (n = 2) and d ≥ 2 dimensions. For radioactive B decay (n = 1), the A particles remain localized. If the A particles may hop spontaneously as well, or if additional random forces are present, the A-B coupling becomes irrelevant, and conventional diffusion is recovered in the long-time limit. | en |
| dc.description.version | Published version | en |
| dc.format.extent | 6071 - 6077 (7) page(s) | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.doi | https://doi.org/10.1103/PhysRevE.62.6071 | en |
| dc.identifier.issn | 1539-3755 | en |
| dc.identifier.issue | 5 | en |
| dc.identifier.uri | http://hdl.handle.net/10919/73068 | en |
| dc.identifier.volume | 62 | en |
| dc.language.iso | en | en |
| dc.publisher | American Physical Society | en |
| dc.relation.uri | http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000165341700033&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, Fluids & Plasmas | en |
| dc.subject | Physics, Mathematical | en |
| dc.subject | Physics | en |
| dc.subject | ANNIHILATING RANDOM-WALKS | en |
| dc.subject | LIMITED REACTIONS | en |
| dc.subject | FIELD-THEORY | en |
| dc.title | Reaction-controlled diffusion | en |
| dc.title.serial | Physical Review E | en |
| dc.type | Article - Refereed | en |
| dc.type.dcmitype | Text | 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 |