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Home page > Seminars > Séminaires théorie > Theory Club 3 Mai 2017 à 16:00 en salle 646A. Martin Evans: "Run and Tumble Bacteria modelled by persistent random walkers"170503. .

Theory Club 3 Mai 2017 à 16:00 en salle 646A. Martin Evans: "Run and Tumble Bacteria modelled by persistent random walkers"170503.

Unless otherwise stated, seminars and defences take place at 11:30 in room 454A of Condorcet building.

Run and Tumble Bacteria modelled by persistent random walkers

Martin Evans

Abstract: I will present a simple model of run-and-tumble bacterial dynamics in which two persistent random walkers move on a one-dimensional lattice under a hard core exclusion interaction and stochastic direction reversals.

I will show to derive an exact expression for the probability distribution in the steady state. This stationary distribution has a rich structure comprising three components: a jammed component where the particles are adjacent and block each other; an attractive component, where the prob- ability distribution for the distance between particles decays exponentially; and an extended component in which the distance between particles is uniformly distributed. The emergent interaction between the particles is sufficiently strong that even in the limit of an infinite lattice, the two walkers spend a finite fraction of time in a jammed configuration.

If time allows I will discuss a recent generalisation to stochastically distributed tumbling periods in which a walker does not move.

A. B. Slowman, M. R. Evans, R. A. Blythe arXiv:1601.00954 Physical Review Letters Phys. Rev. Lett. 116, 218101 (2016)

3 Mai 2017 à 16:00 en salle 646A

Contact : Équipe séminaires / Seminar team - Published on / Publié le 30 April 2017

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