We investigate the behaviour of a finite chain of Brownian particles, interacting through a pairwise linear force, with one end of the chain fixed and the other end  pulled away at slow speed, in the limit of slow speed and small Brownian noise.



 



We study the instant when the chain ''breaks'', that is, the distance between two neighbouring particles becomes larger than a certain threshold.  There are three different regimes depending on the relation between the speed of pulling and the Brownian noise. We provide weak limit theorems for the break time and the break position for each regime.



 



This is a joint work with F.Aurzada and V.Betz from Darmstadt TU, Germany.  

3 Aug 2022
3:00pm - 4:00pm
Where
Lecture Theater G (near Lifts 25/26) OR https://hkust.zoom.us/j/94416312281 (Passcode : 719252)
Speakers/Performers
Mikhail LIFSHITS
Professor, St. Petersburg State University; Visiting Professor, HKUST; HKUST Red Bird Visiting Scholar
Organizer(S)
Department of Mathematics
Contact/Enquiries
Payment Details
Audience
Alumni, Faculty and staff, PG students, UG students
Language(s)
English
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