Phenomenology of aging in the Kardar-Parisi-Zhang equation

Malte Henkel; Jae Dong Noh; Michel Pleimling

doi:10.1103/PhysRevE.85.030102

Phenomenology of aging in the Kardar-Parisi-Zhang equation

Malte Henkel
, Jae Dong Noh
, Michel Pleimling

Department of Physics

Research output: Contribution to journal › Article › peer-review

45 Scopus citations

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, λ _C=λ _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.

Original language	English
Article number	030102
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	85
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.85.030102
State	Published - 27 Mar 2012

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10.1103/PhysRevE.85.030102

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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, λ C=λ 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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N2 - 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, λ C=λ 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.

AB - 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, λ C=λ 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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Phenomenology of aging in the Kardar-Parisi-Zhang equation

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