Mean-field theory of collective transport with phase slips

Karl Saunders, Jennifer M Schwarz, M Cristina Marchetti, Arthur Alan Middleton

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

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 diagrams exhibit generic phases and phase boundaries, though the shapes of the phase boundaries depend on the shape of the disorder potential. The phases are distinguished by their velocity and coherence: the moving phase generically has finite coherence, while pinned states can be coherent or incoherent. The coherent and incoherent static phases can coexist in parameter space, in contrast with previous results for exactly sinusoidal pinning potentials. Transitions between the moving and static states can also be hysteretic. The depinning transition from the static to sliding states can be determined analytically, while the repinning transition from the moving to the pinned phases is computed by direct simulation.

Original languageEnglish (US)
Article number024205
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume70
Issue number2
DOIs
StatePublished - Jul 2004

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Mean field theory
Phase boundaries
slip
Charge density waves
sliding
Magnetic flux
Phase diagrams
Plasticity
Vortex flow
Plastics
plastic properties
magnetic flux
plastics
phase diagrams
disorders
vortices
simulation

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Mean-field theory of collective transport with phase slips. / Saunders, Karl; Schwarz, Jennifer M; Marchetti, M Cristina; Middleton, Arthur Alan.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 70, No. 2, 024205, 07.2004.

Research output: Contribution to journalArticle

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