Self-diffusion in simple models: Systems with long-range jumps
| dc.contributor.author | Asselah, A. | |
| dc.contributor.author | Brito, Ricardo | |
| dc.contributor.author | Lebowitz, J. L. | |
| dc.date.accessioned | 2023-06-20T18:46:20Z | |
| dc.date.available | 2023-06-20T18:46:20Z | |
| dc.date.issued | 1997-06 | |
| dc.description | © 1997 Plenum Publishing Corporation. We thank C. Landim, S. Olla, M. S. Ripoll, and H. T. Yau for useful discussions. This work was supported by NSF Grant 92-13424 4-20946. R.B. was also supported by D.G.I.C. y T. (Spain), project PB94-0265. | |
| dc.description.abstract | We review some exact results for the morion of a tagged particle in simple models. Then, we study the density dependence of the sill-diffusion coefficient D_(N)(ρ) in lattice systems with simple symmetric exclusion in which the particles can jump, with equal rates, to a set of N neighboring sites. We obtain positive upper and lower bounds on F_(N)(ρ) = N{(1 - ρ) - [D_(N)(ρ)/D_(N)(0)]}/[ρ(1 - ρ)] for ρ is an element of [0, 1]. Computer simulations for the square, triangular, and one-dimensional lattices suggest that FN becomes effectively independent of N for N greater than or equal to 20. | |
| dc.description.department | Depto. de Estructura de la Materia, Física Térmica y Electrónica | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | NSF | |
| dc.description.sponsorship | D.G.I.C. y T. (Spain) | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/21862 | |
| dc.identifier.doi | 10.1007/BF02181276 | |
| dc.identifier.issn | 0022-4715 | |
| dc.identifier.officialurl | http://link.springer.com/content/pdf/10.1007%2FBF02181276 | |
| dc.identifier.relatedurl | http://link.springer.com/ | |
| dc.identifier.relatedurl | http://arxiv.org/pdf/cond-mat/9809175v1 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/58569 | |
| dc.issue.number | 05-jun | |
| dc.journal.title | Journal of Statistical Physics | |
| dc.language.iso | eng | |
| dc.page.final | 1144 | |
| dc.page.initial | 1131 | |
| dc.publisher | Springer | |
| dc.relation.projectID | 92-13424 4-20946 | |
| dc.relation.projectID | PB94-0265 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 536 | |
| dc.subject.keyword | Simple exclusion | |
| dc.subject.keyword | Tagged particle | |
| dc.subject.keyword | Equation | |
| dc.subject.keyword | Limit | |
| dc.subject.ucm | Termodinámica | |
| dc.subject.unesco | 2213 Termodinámica | |
| dc.title | Self-diffusion in simple models: Systems with long-range jumps | |
| dc.type | journal article | |
| dc.volume.number | 87 | |
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| dspace.entity.type | Publication |
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