Analytical treatment for a spring-block model
- 7 June 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 70 (23) , 3627-3630
- https://doi.org/10.1103/physrevlett.70.3627
Abstract
The stick-slip process in a spring-block model is considered in terms of cellular automaton. The probability of the slip size is exactly calculated. It is shown analytically that there is a scaling relation D(Δ)∝ exp(-Δ/) between the slip size Δ and its probability D(Δ) with a universal exponent ξ=-3/2, while the value of depends on the details of the system.
Keywords
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