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Isoheight Line in Wolf- Villain Surface Growth Model With Using Schramm-Loewner Evoloution

Taghdiri Nooshabadi, Mohammad Mohsen | 2012

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 44494 (04)
  4. University: Sharif University of Technology
  5. Department: Physics
  6. Advisor(s): Moghimi Araghi, Saman
  7. Abstract:
  8. Kinetic roughening has attracted a lot of attention over the last few decades not only because of its practical importance for the growth of solid films, but olso as an example for a dynamical mechanism
    that drives a system into a spatially and temporally scale invariant state. Most of the models of kinetic roughening studies so far can be described by the KPZ equation. In this project growth processes which
    cannot be described by KPZ will be studied. The first nonequilibrium growth models including deposition and surface diffusion were intruduced independently by Wolf and villain. The Schramm-Loewner evolution (SLE_, where _ is the diffusivity) proposed recently is a very successful theory to describe the conformal invariant properties of geometrical features of critical systems. It is assumed that any simple random curve, in the continuum limit, can be created by the dynamic process named stochastic-Loewner evolution, and the value of diffusivity _ is relative to the universality class of the corresponding critical system. A methode of characterizing surfaces is by looking at isoheight counter lines that generated by a cut through the surface at a certain constant height. In order to learn more about the statistical properties of the surface fluctuations of the WV model and confirm the applicability of the SLE_ theory to the WV surfaces, we applied the SLE_ theory in this project
    to the surfaces of the (2 + 1)-dimensional WV model
  9. Keywords:
  10. Surface Growth ; Wolf-Villain Surface Growth Model ; Schramm-Loewner Evolution (SLE) ; Iso Height-Lines

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