Sequential partitioning: an alternative to understanding size distributions of avalanches in first-order phase transitions

We study the problem of the partition of a system of initial size V into a sequence of fragments s1,s2,s3 . . . . By assuming a scaling hypothesis for the probability p(s;V) of obtaining a fragment of a given size, we deduce that the final distribution of fragment sizes exhibits power-law behavior....

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Detalles Bibliográficos
Autores: Frontera Beccaria, Carlos, Goicoechea, Jürgen, Ràfols, Ismael, Vives i Santa-Eulàlia, Eduard
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1995
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/18761
Acceso en línea:https://hdl.handle.net/2445/18761
Access Level:acceso abierto
Palabra clave:Equacions d'estat
Transformacions de fase (Física estadística)
Equations of state
Phase transformations (Statistical physics)
Descripción
Sumario:We study the problem of the partition of a system of initial size V into a sequence of fragments s1,s2,s3 . . . . By assuming a scaling hypothesis for the probability p(s;V) of obtaining a fragment of a given size, we deduce that the final distribution of fragment sizes exhibits power-law behavior. This minimal model is useful to understanding the distribution of avalanche sizes in first-order phase transitions at low temperatures.