Thursday, November 6, 2025 - 16:00 in U2-232
Breaking a chain of interacting Brownian particles
A talk in the Oberseminar Probability Theory and Mathematical Statistics series by
Frank Aurzada from TU Darmstadt
| Abstract: |
We investigate the behaviour of a finite chain of Brownian particles, interacting through a pairwise potential (quadratic and more general, respectively), 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 neighboring 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 prove weak limit theorems for the break time and the break position for each regime.
This is joint work with Volker Betz (Darmstadt) and Mikhail Lifshits (St. Petersburg).
Within the CRC this talk is associated to the project(s): B10 |
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