The Universality Classes of the KPZ Equation

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Balouchi, Ashkan | 2010

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 40464 (04)
University: Sharif University of Technology
Department: Physics
Advisor(s): Rouhani, Shahin
Abstract:
Kardar-Parisi-Zhang (KPZ) equation was first proposed as a model to explain surface growth. This equation is very similar to Edwards-Wilkinson (EW) equation that is used to study scaling phenomena in non-equilibrium systems and phase transition. Although EW’s universality classes have been known well, it still remains a problem for KPZ. In the present thesis, in addition to a general review on surface growth models and a study on properties of rough surfaces, we study the physics of the KPZ model and the other related physical models. Also, using numerical results (like SLE method), renormalization group results and simulation, we study the dynamic and roughness exponents (α, z), and the universality classes of the KPZ model and at the end we report on the present points of view in the universality classes of the KPZ equation.
Keywords:
Surface Growth ; Growth Exponents ; Kardar-Parisi-Zhang (KPZ)Equation ; Universality Class

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