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Level: BSc, MSci, MSc
Title: Zero-range process
Supervisor:

Dr Rosemary Harris
Research Area: Dynamical Systems and Statistical Physics
Description:

The zero-range process is a paradigmatic Markov model in the field of interacting particle systems. The project is to understand the model, reproduce known results (analytically and/or numerically) and possibly consider some simple extensions, e.g., to more complex geometries.
Further Reading:
  • F. Spitzer, Interaction of Markov processes, Advances in Mathematics 5 (1970) 246–290.
  • M. R. Evans, T. Hanney, Nonequilibrium statistical mechanics of the zero-range process and related models, Journal of Physics A: Mathematical and General 38 (2005) R195–R240.
Key Modules:

MTH6141 Random Processes

MTH6934/MTH734U/MTHM012/MTH712P Topics in Probability and Stochastic Processes
Other Information:
Current Availability: Yes