Abstract
Two classes of models of driven disordered systems that exhibit history-dependent dynamics are discussed. The first class incorporates local inertia in the dynamics via nonmonotonic stress transfer between adjacent degrees of freedom. The second class allows for proliferation of topological defects due to the interplay of strong disorder and drive. In mean field theory both models exhibit a tricritical point as a function of disorder strength. At weak disorder depinning is continuous and the sliding state is unique. At strong disorder depinning is discontinuous and hysteretic.
Highlights
Nonequilibrium depinning transitions from static to moving states underlie the physics of a wide range of phenomena, from fracture propagation in heterogeneous solids to flux flow in type-II superconductors [1]
We have discussed the depinning transition of two classes of models that allow for historydependent response
In mean field theory both models exhibit a tricritical point as a function of disorder strength
Summary
M. Cristina Marchetti Physics Department, Syracuse University, Syracuse NY 13244, USA. Two classes of models of driven disordered systems that exhibit history-dependent dynamics are discussed. The first class incorporates local inertia in the dynamics via nonmonotonic stress transfer between adjacent degrees of freedom. The second class allows for proliferation of topological defects due to the interplay of strong disorder and drive. In mean field theory both models exhibit a tricritical point as a function of disorder strength. At weak disorder depinning is continuous and the sliding state is unique. At strong disorder depinning is discontinuous and hysteretic
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