Viscoelastic depinning of driven systems: mean-field plastic scallops

Nonlinear driven response of a phase-field crystal in a periodic pinning potential.

We study numerically the phase diagram and the response under a driving force of the phase field crystal model for pinned lattice systems introduced recently for both one- and two-dimensional systems. The model describes the lattice system as a continuous density field in the presence of a periodic pinning potential, allowing for both elastic and plastic deformations of the lattice. We first pr...

Models of Plastic Depinning of Driven Disordered Systems

Hysteresis in Driven Disordered Systems: From Plastic Depinning to Magnets

Driven depinning of strongly disordered media and anisotropic mean-field limits.

Extended systems driven through strong disorder are modeled generically using coarse-grained degrees of freedom that interact elastically in the directions parallel to the drive and slip along at least one of the directions transverse to the motion. In the limit of infinite-range elastic and viscous coupling this model has a tricritical point separating a region where the depinning is continuou...

Mean-field theory of collective transport with phase slips

The driven transport of plastic systems in various disordered backgrounds is studied within mean field theory. Plasticity is modeled using nonconvex interparticle potentials that allow for phase slips. This theory most naturally describes sliding charge density waves; other applications include flow of colloidal particles or driven magnetic flux vortices in disordered backgrounds. The phase dia...