Mapping a depinning transition to polynuclear growth

Details Mapping a depinning transition to polynuclear growth Mapping a depinning transition to polynuclear growth

2001-09-10

arxiv.org/abs/cond-mat/0109162v1

Physica A 301, 17 (2001)

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 6 figures, 1 table

Scientific paper

10.1016/S0378-4371(01)00272-2

We develop a phenomenological mapping between submonolayer polynuclear growth (PNG) and the interface dynamics at and below the depinning transition in the Kardar-Parisi-Zhang equation for a negative non-linearity \lambda. This is possible since the phase transition is of first-order, with no diverging correlation length as the transition is approached from below. The morphology of the still-active and pinned configurations and the interface velocity are compared to the PNG picture. The interface mean height scales as erf(t).

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