Hysteresis and return-point memory in deterministic cellular automata

We have investigated hysteresis and the return-point memory (RPM) property in deterministic cellular automata with avalanche dynamics. The RPM property reflects a partial ordering of metastable states, preserved by the dynamics. Recently, Sethna et al. [Phys. Rev. Lett. 70, 3347 (1993)] proved this...

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Detalles Bibliográficos
Autores: Goicoechea, Jürgen, Ortín, Jordi, 1959-
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1994
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/13163
Acceso en línea:https://hdl.handle.net/2445/13163
Access Level:acceso abierto
Palabra clave:Histèresi
Transformacions de fase (Física estadística)
Materials magnètics
Hysteresis
Phase transformations (Statistical physics)
Magnetic materials
Descripción
Sumario:We have investigated hysteresis and the return-point memory (RPM) property in deterministic cellular automata with avalanche dynamics. The RPM property reflects a partial ordering of metastable states, preserved by the dynamics. Recently, Sethna et al. [Phys. Rev. Lett. 70, 3347 (1993)] proved this behavior for a homogeneously driven system with static disorder. This Letter shows that the partial ordering and the RPM can be displayed as well by systems driven heterogeneously, as a result of its own evolution dynamics. In particular, we prove the RPM property for a deterministic 2D sandpile automaton driven at a central site.