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Phenomenology of aging in the Kardar-Parisi-Zhang equation

Malte Henkel1, Jae Dong Noh2,3, and Michel Pleimling4

  • 1Groupe de Physique Statistique, Département de Physique de la Matière et des Matériaux, Institut Jean Lamour (CNRS UMR 7198), Université de Lorraine Nancy, B.P. 70239, F-54506 Vandœuvre-lès-Nancy Cedex, France
  • 2Department of Physics, University of Seoul, Seoul 130-743, Republic of Korea
  • 3School of Physics, Korea Institute for Advanced Study, Seoul 130-722, Republic of Korea
  • 4Department of Physics, Virginia Tech, Blacksburg, Virginia 24061-0435, USA

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Phys. Rev. E 85, 030102(R) – Published 27 March, 2012

DOI: https://doi.org/10.1103/PhysRevE.85.030102

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, λC=λR=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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Outline

Information

Phys. Rev. E 85, 030102(R)– Published 27 March, 2012
  • Received 22 September 2011
Article part of CHORUS

©2012 American Physical Society

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