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Markov analysis and Kramers-Moyal expansion of the ballistic deposition and restricted solid-on-solid models

Kimiagar, S ; Sharif University of Technology | 2008

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  1. Type of Document: Article
  2. DOI: 10.1088/1742-5468/2008/02/P02010
  3. Publisher: 2008
  4. Abstract:
  5. It is well known that the ballistic deposition and the restricted solid-on-solid models belong to the same universality class, having the same roughness and growth exponents. In this paper, we determine some new statistical properties of the two models, such as the Kramers-Moyal coefficients and the Markov length scale, and show them to be distinct for the two models. © 2008 IOP Publishing Ltd
  6. Keywords:
  7. Stochastic processes (theory) ; Solid model ; Self-affine roughness (theory)
  8. Source: Journal of Statistical Mechanics: Theory and Experiment ; Volume 2008, Issue 2 , 2008 ; 17425468 (ISSN)
  9. URL: https://iopscience.iop.org/article/10.1088/1742-5468/2008/02/P02010