Swimming Things: Probability Distributions for Self-propelled Particles
I will present two basic models for self-propelled particles, the run-and-tumble model and the active-Brownian-particle model, which have particular relevance for motile bacteria such as E. coli on the one hand, and self-propelled, synthetic particles on the other. I will show how to derive some basic statistics of these models [1, 2], highlighting the similarities and differences, and briefly discuss the relevance of this for studies of ?active matter? ? the collective behaviour of many such interacting particles .
 Martens et al. EPJE 35, 1 (2012).
 Ebbens et al. PRE 82, 015304 (2010).
 Cates & Tailleur EPL 101, 20010 (2013).
This is a roughly weekly series of didactical blackboard talks focussing on some theoretical aspect of Condensed Matter, Biological, and Statistical Physics..