Depinning with dynamic stress overshoots: Mean field theory

Details Depinning with dynamic stress overshoots: Mean field theory Depinning with dynamic stress overshoots: Mean field theory

2000-12-13

arxiv.org/abs/cond-mat/0012246v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.87.096107

An infinite-range model of an elastic manifold pulled through a random potential by an applied force $F$ is analyzed focusing on inertial effects. When the inertial parameter, $M$, is small, there is a continuous depinning transition from a small-$F$ static phase to a large-$F$ moving phase. When $M$ is increased to $M_c$, a novel tricritical point occurs. For $M\!>\!M_c$, the depinning transition becomes discontinuous with hysteresis. Yet, the distribution of discrete ``avalanche''-like events as the force is increased in the static phase for $M\!>\!M_c$ has an unusual mixture of first-order-like and critical features.

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