Critical processes, Langevin equation and universality

In nature there are ubiquitous systems that can naturally approach critical states. The Langevin equation in the discrete version can be used to describe a class of critical processes, which are characterized by power-law behaviors and scaling relations. As an example, we present a simple model for...

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Bibliographic Details
Published in:Physics letters. A 1995-07, Vol.203 (2), p.83-87
Main Authors: Zhang, Shu-dong, Fan, Qin-liang, Ding, E-jiang
Format: Article
Language:English
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Summary:In nature there are ubiquitous systems that can naturally approach critical states. The Langevin equation in the discrete version can be used to describe a class of critical processes, which are characterized by power-law behaviors and scaling relations. As an example, we present a simple model for a clinical thermometer, whose reading cannot fall even when its temperature decreases. The fibers bundle model and the spring-block model are also shown to belong to such a class.
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(95)00397-L