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SUMMARY:Interacting Persistent Random Walkers - Martin Evans (University o
 f Edinburgh)
DTSTART:20230717T140000Z
DTEND:20230717T150000Z
UID:TALK203149@talks.cam.ac.uk
DESCRIPTION:In this talk I will consider persistent random walkers\, also 
 known as run and tumble particles\, which are emerging as a fundamental mi
 croscopic model of active matter. I will first review the properties of a 
 single persistent walker and show how it interpolates between ballistic an
 d diffusive motion.&nbsp\;The dynamical spectrum of a persistent random wa
 lker exhibits `exceptional points' indicating dynamical transitions - a fa
 miliar example of an exceptional point is the critical damping of the simp
 le harmonic oscillator.&nbsp\;I will then consider the case of two persist
 ent random walkers that interact through an&nbsp\;exclusion&nbsp\;interact
 ion. An exact expression for the stationary state of two such walkers on a
  periodic lattice reveals how the particles jam and generate an effective 
 attractive potential. The full spectrum of the two-particle problem can al
 so be computed and again exhibits exceptional points\, which correspond to
  dynamical transitions in the relaxation time. Finally\, I will discuss a 
 more general `recoil' interaction between the persistent walkers and show&
 nbsp\;how tuning the persistence length can generate attractive or repulsi
 ve effective interactions.
LOCATION:Seminar Room 2\, Newton Institute
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