Rice's ansatz for overdamped Ø4 kinks at finite temperature


Physical Review E 67 027601 (2003)

G.D. Lythe

Department of Applied Mathematics ,
University of Leeds,
LS2 9JT, UK

Franz Mertens

Physikalisches Institut, Universitat Bayreuth,
D-95440 Bayreuth, Germany.

Abstract

The dynamics of a kink driven by noise is analysed using the two collective variables of the Rice ansatz: position and width. Starting from a stochastic partial differential equation, with the Ø4 potential in the overdamped limit, the pair of stochastic differential equations for the collective variables are derived without approximation other than the ansatz itself. From the steady state probability density of the kink width, the diffusivity of a kink is calculated.

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