Phenomenology of ageing in the Kardar-Parisi-Zhang equation

Details Phenomenology of ageing in the Kardar-Parisi-Zhang equation Phenomenology of ageing in the Kardar-Parisi-Zhang equation

2011-09-23

arxiv.org/abs/1109.5022v2

Phys. Rev. E85, 030102(R) (2012)

Physics

Condensed Matter

Statistical Mechanics

Latex2e, 5 pages, with 4 figures, final form

Scientific paper

10.1103/PhysRevE.85.030102

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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