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From Random Walks and Fokker Planck Equation to molecular motor driven transport

From Random Walks and Fokker Planck Equation to molecular motor driven transport.

Stas Burov

In this lecture I intend to introduce several basic approaches to transport in disordered media. 
1. The path from master equations to Fokker-Planck Equation.
2. Deterministic foundations of the stochastic Langevin and Generalized Langevin Equations.
3. Multiplicative noise and Ito-Stratonovich-Hanngi-Klimontovich interpretations. 
4. Position dependent diffusivity and effective potential.
Eventually I will try to tie all these topics together in order to explain how simple models of transport via molecular motors can give rise to anomalous diffusion.

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