Pattern formation in growing sandpiles
Dhar, Sadhu & Chandra (2008 ) study the patterns produced by adding grains on a two-dimensional integer lattice. In the cases they studied the size of the pattern rises as where is the number of grains added. They provide give exact characterization of the asymptotic pattern, in terms of the position and shape of different features of the pattern.
The aim of this project is to consider and extend Dhar et al‘s findings for other lattices, in particular for the triangular lattice:
References & readings
- Deepak Dhar, Tridib Sadhu & Samarth Chandraz (2008 ) Pattern formation in growing sandpiles. Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhaba Road, Mumbai 400005 India. (pattern-_formation_in_growing_sandpiles)
- Deepak Dhar (1999) Studying Self-Organized Criticality with Exactly Solved Models. Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, INDIA. (studying_self-organized-_criticality_with_exactly_solved_models)