Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe

DY: Fachverband Dynamik und Statistische Physik

DY 7: Focus Session: Large Deviations and Rare Events I

DY 7.6: Hauptvortrag

Montag, 9. März 2026, 11:15–11:45, ZEU/0114

Large deviations in resetting Brownian motions — •Satya Majumdar — CNRS, LPTMS, Universite Paris-Saclay, Orsay 91405, France

After a brief introduction to large deviations, I will focus on one dimensional resetting Brownian motions, first on a single particle and then on a gas of multiparticles. I will show that for a single partcle, while the position distribution of a resetting Brownian motion approaches a stationary form at long times, the relaxation to this stationary state is unusual: it is described by a large deviation function that undergoes a second order dynamical phase transition. The same rate function also shows up in the distribution of the maximum up to time t of a set of independent resetting Brownian motions with a distributed initial positions. I will discuss the difference between the `quenched' and `annealed' initial positions and how they affect the statistics of the maximum.

Keywords: large deviations; resetting Brownian motion; stationary state; relaxation dynamics