Abstract / Description of output
We study a model of bacterial dynamics where two interacting random walkers perform runandtumble motion on a onedimensional lattice under mutual exclusion and find 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 probability distribution for the distance between particles decays exponentially; and an extended component in which the distance between particles is uniformly distributed. The attraction between the particles is sufficiently strong that even in the limit where continuous space is recovered for a finite system, the two walkers spend a finite fraction of time in a jammed configuration. Our results potentially provide a route to understanding the motilityinduced phase separation characteristic of active matter from a microscopic perspective.
Original language  English 

Article number  218101 
Number of pages  6 
Journal  Physical Review Letters 
Volume  116 
Issue number  21 
DOIs  
Publication status  Published  26 May 2016 
Fingerprint
Dive into the research topics of 'Jamming and Attraction of Interacting RunandTumble Random Walkers'. Together they form a unique fingerprint.Profiles

Richard Blythe, SFHEA
 School of Physics and Astronomy  Personal Chair of Complex Systems
Person: Academic: Research Active

Martin Evans
 School of Physics and Astronomy  Personal Chair in Statistical Physics
Person: Academic: Research Active