HYSTERESIS AND RETURN-POINT MEMORY IN DETERMINISTIC CELLULAR-AUTOMATA

被引:16
作者
GOICOECHEA, J
ORTIN, J
机构
[1] Departament d'Estructura I Constituents de la Matèria, Facultat de Física, Universitat de Barcelona, Catalonia, 08028 Barcelona, Catalonia
关键词
D O I
10.1103/PhysRevLett.72.2203
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
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收藏
页码:2203 / 2206
页数:4
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