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Slip-Size Distribution and Self-Organized Criticality in Block-Spring Models with Quenched Randomness (1705.06410v1)
Published 18 May 2017 in cond-mat.stat-mech, nlin.AO, and physics.geo-ph
Abstract: We study slowly pulling block-spring models in random media. Second-order phase transitions exist in a model pulled by a constant force in the case of velocity-strengthening friction. If external forces are slowly increased, nearly critical states are self-organized. Slips of various sizes occur, and the probability distributions of slip size roughly obey power laws. The exponent is close to that in the quenched Edwards--Wilkinson model. Furthermore, the slip-size distributions are investigated in cases of Coulomb friction, velocity-weakening friction.