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CATEGORIES:Fluid Mechanics (DAMTP)
SUMMARY:Excluded volume and order in a system of Brownian 
 needles - Maria Bruna\, DAMTP
DTSTART;TZID=Europe/London:20220617T160000
DTEND;TZID=Europe/London:20220617T170000
UID:TALK173501AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/173501
DESCRIPTION:We consider a system of hard-core interacting Brow
 nian needles. Unlike point particles\, the finite 
 size and shape of each needle influence the system
 ’s evolution. We explore the effects of excluded v
 olume and anisotropy at the population level. Sinc
 e needles exclude less volume if aligned\, can exc
 luded-volume effects alone induce order in the sys
 tem? Starting from the stochastic particle system\
 , we derive an integro-differential equation for t
 he population density using the method of matched 
 asymptotic expansions and conformal mapping. We pr
 esent numerical simulations and discuss the limit 
 of large rotational diffusion.
LOCATION:MR2\, Centre for Mathematical Sciences\, Wilberfor
 ce Road\, Cambridge
CONTACT:Prof. Jerome Neufeld
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