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Article
Equivalence of the train model of earthquake and boundary driven Edwards-Wilkinson interface
A discretized version of the Burridge-Knopoff train model with (non-linear friction force replaced by) random pinning is studied in one and two dimensions. A scale free distribution of avalanches and the Omori...
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Book
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Book
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Chapter
Statistical Mechanics and Critical Phenomena: A Brief Overview
The basic concepts of statistical mechanics and its application to many-body systems, phase transitions and critical phenomena will be discussed briefly in this chapter. We will be using these ideas frequently...
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Chapter
Classical Monte Carlo Simulation
In Monte Carlo simulation, our primary goal is to calculate an observable physical quantity X of a thermodynamic system in thermal equilibrium with a heat bath at temperature T. A macroscopic thermodynamic system...
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Chapter and Conference Paper
Avalanches and Damage Clusters in Fracture Processes
By simulating two-dimensional models of electric breakdown and fracture it is possible to characterize the rupture of disordered materials subject to an increasing external stress. We provide a review of numer...
