The Pattern Formation and Critical Behaviour of a Burridge-Knopoff Model

I. Clancy; D. Corcoran

doi:10.1063/1.1571305

The Pattern Formation and Critical Behaviour of a Burridge-Knopoff Model

I. Clancy, D. Corcoran

Department of Physics

Research output: Contribution to journal › Conference article › peer-review

Abstract

A critical phase transition in the stick-slip motion of a Burridge-Knopoff (BK) model is investigated. Varying the rate of velocity weakening of the friction, the distribution of moments is found to change from exponential/stretched exponential to power law without quasi-periodic delocalized events. To explore this transition a measure based on the average stress in the BK system is adopted as an order parameter. The observed continuity of the transition together with the power law is indicative of a critical point. At this phase transition emergent spatio-temporal patterns are observed in block-event maps.

Original language	English
Pages (from-to)	159-162
Number of pages	4
Journal	AIP Conference Proceedings
Volume	661
Issue number	1
DOIs	https://doi.org/10.1063/1.1571305
Publication status	Published - 7 Apr 2003
Event	7th Granada Lectures on Modeling of Complex Systems - Granada, Spain Duration: 2 Sep 2002 → 7 Sep 2002

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10.1063/1.1571305

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abstract = "A critical phase transition in the stick-slip motion of a Burridge-Knopoff (BK) model is investigated. Varying the rate of velocity weakening of the friction, the distribution of moments is found to change from exponential/stretched exponential to power law without quasi-periodic delocalized events. To explore this transition a measure based on the average stress in the BK system is adopted as an order parameter. The observed continuity of the transition together with the power law is indicative of a critical point. At this phase transition emergent spatio-temporal patterns are observed in block-event maps.",

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AB - A critical phase transition in the stick-slip motion of a Burridge-Knopoff (BK) model is investigated. Varying the rate of velocity weakening of the friction, the distribution of moments is found to change from exponential/stretched exponential to power law without quasi-periodic delocalized events. To explore this transition a measure based on the average stress in the BK system is adopted as an order parameter. The observed continuity of the transition together with the power law is indicative of a critical point. At this phase transition emergent spatio-temporal patterns are observed in block-event maps.

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The Pattern Formation and Critical Behaviour of a Burridge-Knopoff Model

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