Subdiffusivity of brownian motion among a poissonian field of moving traps
dc.contributor.author | Öz, Mehmet | |
dc.date.accessioned | 2020-08-28T09:15:14Z | |
dc.date.available | 2020-08-28T09:15:14Z | |
dc.date.issued | 2019 | |
dc.identifier.issn | 1980-0436 | en_US |
dc.identifier.uri | http://hdl.handle.net/10679/6852 | |
dc.identifier.uri | http://alea.impa.br/english/index_v16.htm | |
dc.description.abstract | Our model consists of a Brownian particle X moving in N, where a Poissonian field of moving traps is present. Each trap is a ball with constant radius, centered at a trap point, and each trap point moves under a Brownian motion independently of others and of the motion of X. Here, we investigate the 'speed' of X on the time interval [0, t] and on 'microscopic' time scales given that X avoids the trap field up to time t. Firstly, following the earlier work of 'Athreya. et al. (2017), we obtain bounds on the maximal displacement of X from the origin. Our upper bound is an improvement of the corresponding bound therein. Then, we prove a result showing how the speed on microscopic time scales affect the overall macroscopic subdiffusivity on [0, t]. Finally, we show that X moves subdiffusively even on certain microscopic time scales, in the bulk of [0, t]. The results are stated so that each gives an 'optimal survival strategy' for the system. We conclude by giving several related open problems. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Instituto Nacional de Matematica Pura e Aplicada | en_US |
dc.relation.ispartof | Alea-Latin American Journal Of Probability And Mathematical Statistics | |
dc.rights | openAccess | |
dc.title | Subdiffusivity of brownian motion among a poissonian field of moving traps | en_US |
dc.type | Article | en_US |
dc.description.version | Publisher version | en_US |
dc.peerreviewed | yes | en_US |
dc.publicationstatus | Published | en_US |
dc.contributor.department | Özyeğin University | |
dc.contributor.authorID | (ORCID 0000-0002-3263-3748 & YÖK ID 246073) Öz, Mehmet | |
dc.contributor.ozuauthor | Öz, Mehmet | |
dc.identifier.volume | 16 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.startpage | 33 | en_US |
dc.identifier.endpage | 47 | en_US |
dc.identifier.wos | WOS:000476588300003 | |
dc.identifier.doi | 10.30757/ALEA.v16-03 | en_US |
dc.subject.keywords | Brownian motion in random environment | en_US |
dc.subject.keywords | Poissonian traps | en_US |
dc.subject.keywords | Moving trap field | en_US |
dc.subject.keywords | Subdiffusive | en_US |
dc.subject.keywords | Optimal survival strategy | en_US |
dc.identifier.scopus | SCOPUS:2-s2.0-85070019836 | |
dc.contributor.authorMale | 1 | |
dc.relation.publicationcategory | Article - International Refereed Journal - Institution Academic Staff |
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