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SUMMARY:Self-reinforcement\, superdiffusion and subdiffusion - Daniel Han 
  (University of Manchester\, University of Cambridge)
DTSTART:20220601T100000Z
DTEND:20220601T110000Z
UID:TALK172694@talks.cam.ac.uk
DESCRIPTION:I will introduce a persistent random walk model with finite ve
 locity and self-reinforcing directionality\, which explains how exponentia
 lly distributed runs can lead to superdiffusion observed in active intrace
 llular transport. We derive the governing hyperbolic partial differential 
 equation for the probability density function (PDF) of particle positions.
  This PDF exhibits a bimodal density (aggregation phenomena) in the superd
 iffusive regime. I also present the exact solutions for the first and seco
 nd moments and the criteria for the transition to superdiffusion. Furtherm
 ore\, this model is extended to incorporate rests which can lead to both s
 uperdiffusive or subdiffusive motion. 
LOCATION:Seminar Room 2\, Newton Institute
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