Mapping a depinning transition to polynuclear growth

G.J. Szabó and M.J. Alava

Physica A: Statistical Mechanics and its Applications, 2001, vol. 301, issue 1, 17-28

Abstract: 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 λ. 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).

Keywords: Depinning transition; Kardar–Parisi–Zhang equation; Quenched noise; Polynuclear growth; Interface morphology (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:301:y:2001:i:1:p:17-28

DOI: 10.1016/S0378-4371(01)00272-2

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