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Viscoelastic Interfaces Driven in Disordered Media

Applications to Friction

François P. Landes (Autor)

Buch | Hardcover

XIII, 206 Seiten

2015 | 1st ed. 2016
Springer International Publishing (Verlag)
978-3-319-20021-7 (ISBN)

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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.

Introduction to Friction.- Application of Friction to Seismic Faults.- Elastic Interfaces Driven in Disordered Media.- Viscoelastic Interfaces Driven in Disordered Media.- Directed Percolation: a Non-Markovian Variant.- General Perspectives.

Erscheint lt. Verlag	21.7.2015
Reihe/Serie	Springer Theses
Zusatzinfo	XIII, 206 p. 79 illus., 37 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Optik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	Depinning transition • directed percolation • Driven visco-elastic interface • Dynamical phase transition • Earthquakes dynamics • Multiple absorbing state transition • Quenched disorder • Solid friction and seismic faults • Stress accumulation in complex system
ISBN-10	3-319-20021-6 / 3319200216
ISBN-13	978-3-319-20021-7 / 9783319200217
Zustand	Neuware