Sandpiles and Surface Growth

Please enable javascript in your browser.

Shahoei, Rezvan | 2010

788 Viewed

Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 42066 (04)
University: Sharif University of Technology
Department: Physics
Advisor(s): Moghimi Araghi, Saman
Abstract:
We study the Abelian Sandpile Model and its relation with surface growth. ese two models are related through their field theories and equations of motion. It has been shown that the different features of different sandpile models can be expressed in terms of the noise term in the surface growth equation. A mapping between the simplest sandpile model, the BTW model, and a surface growth has already been introduced. is surface growth has not been studied in details so far. In this thesis we study different features of this surface growth corresponding to the BTW model, continuous sandpile model and also massive abelian sandpile model. We also consider different boundary conditions
Keywords:
Abelian Sandpile Model ; Surface Growth