Dynamic scaling behaviors of linear fractal Langevin-type equation driven by nonconserved and conserved noise

Zhe Zhang, Zhi-Peng Xun, Ling Wu, Yi-Li Chen, Hui Xia, Da-Peng Hao and Gang Tang

Physica A: Statistical Mechanics and its Applications, 2016, vol. 451, issue C, 451-455

Abstract: In order to study the effects of the microscopic details of fractal substrates on the scaling behavior of the growth model, a generalized linear fractal Langevin-type equation, ∂h/∂t=(−1)m+1ν∇mzrwh (zrw is the dynamic exponent of random walk on substrates), driven by nonconserved and conserved noise is proposed and investigated theoretically employing scaling analysis. Corresponding dynamic scaling exponents are obtained.

Keywords: Dynamic scaling; Langevin-type equation; Nonconserved noise; Conserved noise (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:451:y:2016:i:c:p:451-455

DOI: 10.1016/j.physa.2016.01.098

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