### Nonlinear diffusion in a random environment

Kupiainen, A *(Helsinki)*

Thursday 18 December 2008, 14:00-15:00

Seminar Room 1, Newton Institute

#### Abstract

We discuss dynamics of coupled map lattices where local dynamics consists of one conserved quantity ("energy") and other degrees of freedom are chaotic. Upon coupling only total energy is conserved and should diffuse. The model can be mapped to a nonlinear version of random walks in a random environment. We use renormalization group to establish the diffusive behavior.

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