# Diffusion with long-range memory

#### Diffusion with long-range memory

- Event time: 11:30am
- Event date: 11th February 2015
- Speaker: Tunrayo Adeleke-Larodo (University of Oxford)
- Location: Room 2511, James Clerk Maxwell Building (JCMB) James Clerk Maxwell Building Peter Guthrie Tait Road Edinburgh EH9 3FD GB

### Event details

In this talk I will discuss a non-Markovian diffusion process. I will consider a model in which the diffusing particle resets its position to a randomly selected position it has visited in the past, with probability proportional to the number of previous visits. It has been claimed that the long time probability distribution is a Gaussian with width proportional to (\log t)^{1/2} i.e. spreading much more slowly than usual diffusion. I will derive the master equation and show how a scaling form may be derived.

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