Modelling Critical and Catastrophic Phenomena in Geoscience

1. Front Matter

   Pages I-XXI

   PDF

2. Tutorial: Introductory Material

   1. Front Matter

      Pages I-XXI

      PDF

   2. Statistical Physics of Fracture and Earthquake

      • B.K. Chakrabarti

      Pages 3-26

   3. Rupture Processes in Fibre Bundle Models

      • P.C. Hemmer, A. Hansen, S. Pradhan

      Pages 27-55

   4. Extensions of Fibre Bundle Models

      • F. Kun, F. Raischel, R.C. Hidalgo, H.J. Herrmann

      Pages 57-92

   5. Survey of Scaling Surfaces

      • A. Hansen, J. Mathiesen

      Pages 93-110

3. Physics Models of Earthquake

   1. Front Matter

      Pages I-XXI

      PDF

   2. Some Early Earthquake Source Models

      • R. Burridge

      Pages 113-153

   3. Geometric Models of Earthquakes

      • Bhattacharyya P.

      Pages 155-168

   4. Friction, Stick-Slip Motion and Earthquake

      • H. Matsukawa, T. Saito

      Pages 169-189

   5. Statistical Features of Earthquake Temporal Occurrence

      • Á. Corral

      Pages 191-221

   6. Spatiotemporal Correlations of Earthquakes

      • H. Kawamura

      Pages 223-257

   7. Space-time Combined Correlation Between Earthquakes and a New, Self-Consistent Definition of Aftershocks

      • V. De Rubeis, V. Loreto, L. Pietronero, P. Tosi1

      Pages 259-279

   8. Short-Term Prediction of Mediumand Large-Size Earthquakes Based on Markov and Extended Self-Similarity Analysis of Seismic Data

      • M.R.R. Tabar, M. Sahimi, F. Ghasemi, K. Kaviani, M. Allamehzadeh, J. Peinke et al.

      Pages 281-301

   9. Why Does Theoretical Physics Fail to Explain and Predict Earthquake Occurrence?

      • Y.Y. Kagan

      Pages 303-359

4. Modelling Related Phenomena

   1. Front Matter

      Pages I-XXI

      PDF

   2. Aeolian Transport and Dune Formation

      • H.J. Herrmann

      Pages 363-386

   3. Avalanches and Ripples in Sandpiles

      • A. Mehta

      Pages 387-421

   4. Dynamics of Stick-Slip: Some Universal and Not So Universal Features

      • G. Ananthakrishna, R. De

      Pages 423-457

   5. Search for Precursors in Some Models of Catastrophic Failures

      • S. Pradhan, B.K. Chakrabarti

      Pages 459-477

This book presents a broad survey of models for critical and catastrophic phenomena in the geosciences, with strong emphasis on earthquakes. It assumes the perspective of statistical physics, which provides the theoretical frame for dealing with complex systems in general. This volume addresses graduate students wishing to specialize in the field and researchers working or interested in the field having a background in the physics, geosciences or applied mathematics.

• Theoretical physics
• aftershock
• critical phenomena
• earthquake
• earthquake modelling
• fracture
• seismic
• statistical physics

• Physics Department, Gurudas College, Kolkata, India

  Pratip Bhattacharyya

• Centre for Applied Mathematics and Computational Science, Saha Institute of Nuclear Physics, Kolkata, India

  Pratip Bhattacharyya

• Theoretical Condensed Matter Physics Division and Centre for Applied Mathematics and Computational Science, Saha Institute of Nuclear Physics, Kolkata, India

  Bikas K. Chakrabarti

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