Collective Particle Flow through Random Media

Details Collective Particle Flow through Random Media Collective Particle Flow through Random Media

1995-09-20

arxiv.org/abs/cond-mat/9509132v1

Physics

Condensed Matter

63 preprint pages plus 6 figures. Submitted to Phys Rev B

Scientific paper

10.1103/PhysRevB.54.938

A simple model for the nonlinear collective transport of interacting particles in a random medium with strong disorder is introduced and analyzed. A finite threshold for the driving force divides the behavior into two regimes characterized by the presence or absence of a steady-state particle current. Below this threshold, transient motion is found in response to an increase in the force, while above threshold the flow approaches a steady state with motion only on a network of channels which is sparse near threshold. Some of the critical behavior near threshold is analyzed via mean field theory, and analytic results on the statistics of the moving phase are derived. Many of the results should apply, at least qualitatively, to the motion of magnetic bubble arrays and to the driven motion of vortices in thin film superconductors when the randomness is strong enough to destroy the tendencies to lattice order even on short length scales. Various history dependent phenomena are also discussed.

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