Quenched localisation of in the Bouchaud trap model with regularly varying trap
This article describes the quenched localisation behaviour of the Bouchaud trap model on the integers with regularly varying traps. In particular, it establishes that for almost every trapping landscape there exist arbitrarily large times at which the system is highly localised on one site, and also...
| Egile Nagusiak: | , |
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| Formatua: | Journal article |
| Argitaratua: |
Research Institute for Mathematical Sciences, Kyoto University
2016
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| _version_ | 1826285089448787968 |
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| author | Muirhead, S Croydon, D |
| author_facet | Muirhead, S Croydon, D |
| author_sort | Muirhead, S |
| collection | OXFORD |
| description | This article describes the quenched localisation behaviour of the Bouchaud trap model on the integers with regularly varying traps. In particular, it establishes that for almost every trapping landscape there exist arbitrarily large times at which the system is highly localised on one site, and also arbitrarily large times at which the system is completely delocalised. |
| first_indexed | 2024-03-07T01:23:38Z |
| format | Journal article |
| id | oxford-uuid:9130b0fa-6af8-461c-8049-e03f65d3e310 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T01:23:38Z |
| publishDate | 2016 |
| publisher | Research Institute for Mathematical Sciences, Kyoto University |
| record_format | dspace |
| spelling | oxford-uuid:9130b0fa-6af8-461c-8049-e03f65d3e3102022-03-26T23:17:06ZQuenched localisation of in the Bouchaud trap model with regularly varying trapJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:9130b0fa-6af8-461c-8049-e03f65d3e310Symplectic Elements at OxfordResearch Institute for Mathematical Sciences, Kyoto University2016Muirhead, SCroydon, DThis article describes the quenched localisation behaviour of the Bouchaud trap model on the integers with regularly varying traps. In particular, it establishes that for almost every trapping landscape there exist arbitrarily large times at which the system is highly localised on one site, and also arbitrarily large times at which the system is completely delocalised. |
| spellingShingle | Muirhead, S Croydon, D Quenched localisation of in the Bouchaud trap model with regularly varying trap |
| title | Quenched localisation of in the Bouchaud trap model with regularly varying trap |
| title_full | Quenched localisation of in the Bouchaud trap model with regularly varying trap |
| title_fullStr | Quenched localisation of in the Bouchaud trap model with regularly varying trap |
| title_full_unstemmed | Quenched localisation of in the Bouchaud trap model with regularly varying trap |
| title_short | Quenched localisation of in the Bouchaud trap model with regularly varying trap |
| title_sort | quenched localisation of in the bouchaud trap model with regularly varying trap |
| work_keys_str_mv | AT muirheads quenchedlocalisationofinthebouchaudtrapmodelwithregularlyvaryingtrap AT croydond quenchedlocalisationofinthebouchaudtrapmodelwithregularlyvaryingtrap |