It's mainly a term final project of my "Computer Modelling of Natural Processes" course. You have to find an idea based on published articles and the following course syllabus:
1) Cellular automata and Monte Carlo simulations:
a) Theory of self-organized criticality, scale invariance and fractals, spatial and temporal
correlations and memory;
b) Sandpile, forest-fire, Manna, OFC and similar models;
c) Slider-block models and earthquakes, friction laws;
d) Modeling of fracture and flow of materials and rocks, fiber-bundle model;
e) Percolation and diffusion limited aggregation;
f) Lattice-gas cellular automata.
2) Stochastic processes and simulations:
a) Homogeneous and non-homogeneous Poisson processes, branching and point processes;
b) Earthquake simulation and modeling as a point process in space and time.
3) Continuous problems:
It doesn't have to be very big/complicated but attractive. Finally you have to model that in Matlab, write a scientific style report around 10-15 pages (+figures, tables and references) and prepare a power point file for a 10-15 minutes presentation.
Please reply with brief description about the project idea along with the references.
I need everything done by November 10.