Nucleation process in the Burridge-Knopoff model of earthquakes

Abstract

Nucleation process of the one-dimensional Burridge-Knopoff model of earthquakes obeying the rate- and state-dependent friction law is studied both analytically and numerically. The properties of the nucleation dynamics, the nucleation lengths and the duration times are examined together with their continuum limits.

Title changed, one figure (previous Fig.2) omitted, several references (new Refs.5-8,21,24-28) added, and two eqs. (new eqs.1,5) added. Text expanded considerably, especially the part explaining the relation of the model to the elastic continuum model. To appear in Europhys. Letters

References in corpus (3)

• Simulation study of earthquakes based on the two-dimensional Burridge-Knopoff model with the long-range interaction
• Rate- and State-Dependent Friction Law and Statistical Properties of Earthquakes
• Spatiotemporal correlations of earthquakes in the continuum limit of the one-dimensional Burridge-Knopoff model

Cited by in corpus (4)

• Dynamics of earthquake nucleation process represented by the Burridge-Knopoff model
• Statistical properties of the one-dimensional Burridge-Knopoff model of earthquakes obeying the rate and state dependent friction law
• Slow-Slip Phenomena Represented by the One-Dimensional Burridge-Knopoff Model of Earthquakes
• Nature of the high-speed rupture of the two-dimensional Burridge-Knopoff model of earthquakes