Zisin (Journal of the Seismological Society of Japan. 2nd ser.)
Online ISSN : 1883-9029
Print ISSN : 0037-1114
ISSN-L : 0037-1114
A Many-body Disk Model of Slip Phenomena as a Self-organized Critical Phenomenon
Takayuki HIRATA
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2000 Volume 52 Issue 4 Pages 417-424

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Abstract

A many-body disk model of slip phenomena was investigated by carrying out a model experiment. A two dimensional many-body disk system was used as a model of the boundary layer between slip surfaces. A model experiment with a packing fraction of 0.75 was carried out at a constant rotation rate of 1/80Hz (angular frequency). The time series of torque was measured during the experiment. By analyzing five thousand seconds' time series of torque, 1784 stick-slip events were obtained. We found that the size distribution of stick-slip events obeys a power law, N(s)-s-a, where s is a size of stick-slip events and N(s) is the number of stick-slip events of which size is s. The value of α calculated by the least squares method is 0.93±0.07 (s. d.). The power law size distribution suggests that the many-body disk model of slip phenomena is a self-organized critical phenomenon.

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