Application of Loop Ensembles in Surface Growth Models

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Soltaniehha, Mohammad | 2010

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 40484 (04)
University: Sharif University of Technology
Department: Physics
Advisor(s): Rouhani, Shahin
Abstract:
Statistical mechanics offers an important outlook for studying rough surfaces. Loop model is one of the effective statistical methods for study of surfaces. We present and analyze this method for characterization of the morphology of rough surfaces. By statistics of contour loops which could be obtained from an ensemble of a surface such as the SOS model, one can calculate fractal dimension, loops’ length and the probability of connection of two points by a certain loop, etc. Armed with these results, critical exponents in two dimensions are exactly obtainable. In this thesis, after reviewing the properties of different rough surfaces, we shall pursue some results on statistical analysis of contour loops, giving examples. Finally one simulated model based on contour loops is presented
Keywords:
Critical Phenomena ; Rough Surface Scattering ; Contour Loops ; Self-Affine Fractals

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