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http://hdl.handle.net/2445/18825
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DC Field | Value | Language |
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dc.contributor.author | Boguñá, Marián | cat |
dc.contributor.author | Berezhkovskii, A. M. | cat |
dc.contributor.author | Weiss, George H. (George Herbert), 1930- | cat |
dc.date.accessioned | 2011-07-07T12:53:31Z | - |
dc.date.available | 2011-07-07T12:53:31Z | - |
dc.date.issued | 2000 | - |
dc.identifier.issn | 1063-651X | - |
dc.identifier.uri | http://hdl.handle.net/2445/18825 | - |
dc.description.abstract | We consider an infinite number of noninteracting lattice random walkers with the goal of determining statistical properties of the time, out of a total time T, that a single site has been occupied by n random walkers. Initially the random walkers are assumed uniformly distributed on the lattice except for the target site at the origin, which is unoccupied. The random-walk model is taken to be a continuous-time random walk and the pausing-time density at the target site is allowed to differ from the pausing-time density at other sites. We calculate the dependence of the mean time of occupancy by n random walkers as a function of n and the observation time T. We also find the variance for the cumulative time during which the site is unoccupied. The large-T behavior of the variance differs according as the random walk is transient or recurrent. It is shown that the variance is proportional to T at large T in three or more dimensions, it is proportional to T3/2 in one dimension and to TlnT in two dimensions. | eng |
dc.format.extent | 7 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | eng |
dc.publisher | The American Physical Society | eng |
dc.relation.isformatof | Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.62.3250 | cat |
dc.relation.ispartof | Physical Review E, 2000, vol. 62, núm. 3, p. 3250-3256 | - |
dc.relation.uri | http://dx.doi.org/10.1103/PhysRevE.62.3250 | - |
dc.rights | (c) American Physical Society, 2000 | - |
dc.source | Articles publicats en revistes (Física de la Matèria Condensada) | - |
dc.subject.classification | Física estadística | cat |
dc.subject.classification | Termodinàmica | cat |
dc.subject.classification | Sistemes no lineals | cat |
dc.subject.classification | Física matemàtica | cat |
dc.subject.other | Statistical physics | eng |
dc.subject.other | Thermodynamics | eng |
dc.subject.other | Nonlinear systems | eng |
dc.subject.other | Mathematical physics | eng |
dc.title | Occupancy of a single site by many random walkers | eng |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 514093 | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Física de la Matèria Condensada) |
Files in This Item:
File | Description | Size | Format | |
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514093.pdf | 95.52 kB | Adobe PDF | View/Open |
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