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Viscoelastic Interfaces Driven in Disordered Media

Applications to Friction

  • Book
  • © 2016

Overview

Authors:
  1. François P. Landes

    1. ICTP, Abdus Salam International Center for Theoretical Physics, Trieste, Italy

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  • Nominated as an outstanding PhD thesis by the Université Paris-Sud, France
  • Gives a pedagogical introduction to solid friction and fault dynamics, aimed at the needs of statistical physicists
  • Reveals the crucial role of the interplay between disorder and relaxation in modeling solid friction and seismic faults
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Theses (Springer Theses)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Introduction

    • François P. Landes
    Pages 1-5

  3. Introduction to Friction

    • François P. Landes
    Pages 7-48

  4. Application of Friction to Seismic Faults

    • François P. Landes
    Pages 49-66

  5. Elastic Interfaces Driven in Disordered Media

    • François P. Landes
    Pages 67-112

  6. Viscoelastic Interfaces Driven in Disordered Media

    • François P. Landes
    Pages 113-166

  7. Directed Percolation: A Non-Markovian Variant

    • François P. Landes
    Pages 167-189

  8. General Perspectives

    • François P. Landes
    Pages 191-192

  9. Back Matter

    Pages 193-206
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Keywords

About this book

This book offers an in-depth study of two well-known models of “avalanche” dynamics, modified minimally by the inclusion of relaxation. Many complex systems respond to continuous inputs of energy by accumulation of stress over time, interrupted by sudden energy releases called avalanches. The first model studied is the viscoelastic interface driven over disorder, which is shown to display the fundamental features of friction. In the mean-field limit, the friction force derived semi-analytically is compatible with laboratory experiments (displaying both velocity weakening and contact aging). In two dimensions, large-scale numerical simulations are in good agreement with the basic features of real earthquakes (Gutenberg-Richter Law, aftershock migration). The second model is a non-Markovian variant of Directed Percolation, in which we observe that the universality class is only partly modified by relaxation, a promising finding with respect to our first model.

Authors and Affiliations

  • ICTP, Abdus Salam International Center for Theoretical Physics, Trieste, Italy

    François P. Landes

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