Logarithmic relaxation due to minimization of interactions in the Burridge-Knopoff model
Publication year
2006Source
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, 74, 2, (2006), pp. 026110-1-026110-7ISSN
Publication type
Article / Letter to editor

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Organization
Theory of Condensed Matter
Journal title
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Volume
vol. 74
Issue
iss. 2
Page start
p. 026110-1
Page end
p. 026110-7
Subject
Theory of Condensed MatterAbstract
The time evolution of macroscopic quantities describing the relaxation of complex systems often contains a domain with logarithmic time dependence. This logarithmic behavior at the macroscopic level is often associated with strongly interacting elements at the microscopic level, whose interactions depend significantly on their history. In this paper we show that stress relaxation in the Burridge-Knopoff (BK) model of multicontact friction behaves logarithmically, when the model is in, or close to, the solitary state where the elements move independently. For this regime we present an automaton that allows us to follow the decay of stress relaxation over the entire range where it behaves logarithmically in time. We show that our model can be mapped onto a system of noninteracting elements subject to a uniform distribution of forces, for which logarithmic stress relaxation is derived analytically.
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- Academic publications [227942]
- Electronic publications [107432]
- Faculty of Science [33783]
- Open Access publications [76544]
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