# Mean field theory of a polymer in a random medium and relation to travelling waves

#### Mean field theory of a polymer in a random medium and relation to travelling waves

- Event time: 11:30am
- Event date: 4th February 2015
- Speaker: Dr Peter Mottishaw (School of Physics & Astronomy, University of Edinburgh)
- Location: Room 2511, James Clerk Maxwell Building (JCMB) James Clerk Maxwell Building Peter Guthrie Tait Road Edinburgh EH9 3FD GB

### Event details

The problem of a directed polymer in a random medium has been studied for a number of decades, but is still an area of active research. I will show how the mean field equations can be obtained for the model on a tree and show that there is a transition to a random but frozen state. Time permitting I will indicate how the solution of the mean field equations can be viewed as travelling waves similar to solutions of the Kolmogorov-Petrovsky-Piscounov (KPP) equation.

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