STATISTICAL MECHANICS: FLUCTUATIONS PHENOMENA

By SARAH MARTINEZ

Part I Tutorial: Introductory Material 1 Statistical Physics of Fracture and Earthquake 2 Rupture Processes in Fibre Bundle Models 26 Extensions of Fibre Bundle Models 55 Survey of Scaling Surfaces 91 Part II Physics Models of Earthquake 109 Some Early Earthquake Source Models 110 Geometric Models of Earthquakes 151 Friction, Stick-Slip Motion and Earthquake 165 Statistical Features of Earthquake Temporal Occurrence 186 Spatiotemporal Correlations of Earthquakes 217 Space-time Combined Correlation Between Earthquakes and a New, Self-Consistent De·nition of Aftershocks 252 Short-Term Prediction of Medium- and Large-Size Earthquakes Based on Markov and Extended Self-Similarity Analysis of Seismic Data 273 Why Does Theoretical Physics Fail to Explain and Predict Earthquake Occurrence? 294 Part III Modelling Related Phenomena 351 Aeolian Transport and Dune Formation 352 Avalanches and Ripples in Sandpiles 376 Dynamics of Stick-Slip: Some Universal and Not So Universal Features 411 Search for Precursors in Some Models of Catastrophic Failures 446 Part IV Miscellaneous Short Notes 465 Nonlinear Analysis of Radon Time Series Related to Earthquake 466 A Thermomechanical Model of Earthquakes 476 Fractal Dimension of the 2001 El Salvador Earthquake Time Series 484 Approach in Time to Breakdown in the RRTN Model 491 Critical Behaviour of Mixed Fibres with Uniform Distribution 498