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Metabasins – a state space aggregation for highly disordered energy landscapes
G. Alsmeyer, A. Winkler Institut für Mathematische Statistik, Westfälische Wilhelms-Universität Münster
Аннотация:
Glass-forming systems, characterized by a highly disordered energy landscape, have been studied in physics by a simulation-based state space aggregation. Choosing a path-independent approach within the framework of finite Markov chains, this article provides an aggregation procedure which, at an appropriate aggregation level, leads to the definition of certain metastates, called metabasins in Physics (for their properties see the Introduction). Roughly speaking, this will be the finest aggregation such that transitions back to an already visited (meta-)state are very unlikely within a moderate time frame.
Ключевые слова:
Metastability, metabasins, Markov chain aggregation, disordered systems, exit time, Metropolis algorithm.
Образец цитирования:
G. Alsmeyer, A. Winkler, “Metabasins – a state space aggregation for highly disordered energy landscapes”, Theory Stoch. Process., 18(34):1 (2012), 3–44
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/thsp16 https://www.mathnet.ru/rus/thsp/v18/i1/p3
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Страница аннотации: | 115 | PDF полного текста: | 43 | Список литературы: | 18 |
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