Theory of branching and annihilating random walks
| dc.contributor.author | Cardy, J. | en |
| dc.contributor.author | Täuber, Uwe C. | en |
| dc.contributor.department | Physics | en |
| dc.date.accessioned | 2016-09-30T00:23:38Z | en |
| dc.date.available | 2016-09-30T00:23:38Z | en |
| dc.date.issued | 1996-12-02 | en |
| dc.description.abstract | A systematic theory for the diffusion–limited reaction processes A + A → ⊘ and A → (m + 1)A is developed. Fluctuations are taken into account via the field–theoretic dynamical renormalization group. For m even the mean field rate equation, which predicts only an active phase, remains qualitatively correct near d<sub>c</sub> = 2 dimensions; but below d′<sub>c</sub> ≈ 4/3 a nontrivial transition to an inactive phase governed by power law behavior appears. For m odd there is a dynamic phase transition for any d ≤ 2 which is described by the directed percolation universality class. | en |
| dc.description.version | Published version | en |
| dc.format.extent | 4780 - 4783 page(s) | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.doi | https://doi.org/10.1103/PhysRevLett.77.4780 | en |
| dc.identifier.issn | 0031-9007 | en |
| dc.identifier.issue | 23 | en |
| dc.identifier.uri | http://hdl.handle.net/10919/73081 | en |
| dc.identifier.volume | 77 | en |
| dc.language.iso | en | en |
| dc.relation.uri | http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1996VV46800023&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.title | Theory of branching and annihilating random walks | en |
| dc.title.serial | Physical Review Letters | 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 |