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arxiv: 1109.5022 · v2 · pith:OS4BRNW3new · submitted 2011-09-23 · ❄️ cond-mat.stat-mech · hep-th· math-ph· math.MP

Phenomenology of ageing in the Kardar-Parisi-Zhang equation

classification ❄️ cond-mat.stat-mech hep-thmath-phmath.MP
keywords ageingdescribedequationkardar-parisi-zhanglambdascalingautoresponsecharacterised
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We study ageing during surface growth processes described by the one-dimensional Kardar-Parisi-Zhang equation. Starting from a flat initial state, the systems undergo simple ageing in both correlators and linear responses and its dynamical scaling is characterised by the ageing exponents a=-1/3, b=-2/3, lambda_C=lambda_R=1 and z=3/2. The form of the autoresponse scaling function is well described by the recently constructed logarithmic extension of local scale-invariance.

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