Models of plastic depinning of driven disordered systems

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.

3 figures, invited talk at StatPhys 22

References in corpus (4)

• Hysteresis in driven disordered systems: From plastic depinning to magnets
• Driven depinning of strongly disordered media and anisotropic mean-field limits
• Viscoelasticity from a Microscopic Model of Dislocation Dynamics
• One-Way Hysteresis in the Depinning Transition

Cited by in corpus (9)

• Avalanches in Strained Amorphous Solids: Does Inertia Destroy Critical Behavior?
• The effect of inertia on sheared disordered solids: Critical scaling of avalanches in two and three dimensions
• Critical behavior of plastic depinning of vortex lattices in two dimensions: Molecular dynamics simulations
• Statistics of Avalanches with Relaxation, and Barkhausen Noise: A Solvable Model
• Critical Hysteresis in Random Field XY and Heisenberg Models
• Depinning in a two-layer model of plastic flow
• Frictional dynamics of viscoelastic solids driven on a rough surface
• Hysteresis in Random Field XY and Heisenberg Models: Mean Field Theory and Simulations at Zero Temperature
• Depinning and plasticity of driven disordered lattices