Diffusion of directed polymers in a strong random environment
dc.contributor.author | Song, Renming | en_US |
dc.contributor.author | Olsen, Peder A. | en_US |
dc.date.accessioned | 2006-09-11T15:45:04Z | |
dc.date.available | 2006-09-11T15:45:04Z | |
dc.date.issued | 1996-05 | en_US |
dc.identifier.citation | Olsen, Peder; Song, Renming; (1996). "Diffusion of directed polymers in a strong random environment." Journal of Statistical Physics 83 (3-4): 727-738. <http://hdl.handle.net/2027.42/45169> | en_US |
dc.identifier.issn | 0022-4715 | en_US |
dc.identifier.issn | 1572-9613 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/45169 | |
dc.description.abstract | We consider a system of random walks or directed polymers interacting with an environment which is random in space and time. It was shown by Imbrie and Spencer that in spatial dimensions three or above the behavior is diffusive if the directed polymer interacts weakly with the environment and if the random environment follows the Bernoulli distribution. Under the same assumption on the random environment as that of Imbrie and Spencer, we establish that in spatial dimensions four or above the behavior is still diffusive even when the directed polymer interacts strongly with the environment. More generally, we can prove that, if the random environment is bounded and if the supremum of the support of the distribution has a positive mass, then there is an integer d 0 such that in dimensions higher than d 0 the behavior of the random polymer is always diffusive. | en_US |
dc.format.extent | 342649 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Kluwer Academic Publishers-Plenum Publishers; Plenum Publishing Corporation ; Springer Science+Business Media | en_US |
dc.subject.other | Physics | en_US |
dc.subject.other | Martingales | en_US |
dc.subject.other | Statistical Physics | en_US |
dc.subject.other | Directed Polymers | en_US |
dc.subject.other | Physical Chemistry | en_US |
dc.subject.other | Quantum Physics | en_US |
dc.subject.other | Mathematical and Computational Physics | en_US |
dc.subject.other | Random Walks | en_US |
dc.subject.other | Random Environment | en_US |
dc.title | Diffusion of directed polymers in a strong random environment | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mathematics, University of Michigan, 48109, Ann Arbor, Michigan | en_US |
dc.contributor.affiliationum | Department of Mathematics, University of Michigan, 48109, Ann Arbor, Michigan | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/45169/1/10955_2005_Article_BF02183745.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF02183745 | en_US |
dc.identifier.source | Journal of Statistical Physics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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