Diffusion with long-range memory

Statistical Physics and Complexity Group meeting

Diffusion with long-range memory

  • Event time: 11:30am
  • Event date: 11th February 2015
  • Speaker: Tunrayo Adeleke-Larodo (University of Oxford)
  • Location: Room 2511,

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.