Phenomenology of aging in the Kardar-Parisi-Zhang equation

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Date

2012-03-27

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American Physical Society

Abstract

We study aging during surface growth processes described by the one-dimensional Kardar-Parisi-Zhang equation. Starting from a flat initial state, the systems undergo simple aging in both correlators and linear responses, and its dynamical scaling is characterized by the aging 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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Keywords

conformal field-theory, growing interfaces, scale-invariance, directed, polymers, burgers-equation, growth-processes, contact process, model, operators, kpz, Physics

Citation

Henkel, Malte ; Noh, Jae Dong ; Pleimling, Michel, Mar 27, 2012. "Phenomenology of aging in the Kardar-Parisi-Zhang equation," PHYSICAL REVIEW E 85(3): 030102. DOI: 10.1103/PhysRevE.85.030102.