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DY: Fachverband Dynamik und Statistische Physik
DY 59: Brownian Motion and Anomalous Diffusion
DY 59.3: Talk
Friday, March 22, 2024, 10:00–10:15, BH-N 334
Brownian particle in a Poisson-shot-noise active bath: exact statistics, effective temperature, and inference — •costantino di bello1, rita majumdar2,3, rahul marathe2, ralf metzler1,4, and edgar roldan3 — 1Institute of Physics & Astronomy, University of Potsdam, Germany — 2Department of Physics, Indian Institute of Technology, New Delhi, India — 3ICTP - The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy — 4Asia Pacific Centre for Theoretical Physics, Pohang, Republic of Korea
This work studies the fluctuating, nonequilibrium dynamics of an optically trapped Brownian particle within a dilute solution of active particles. The authors propose a stochastic model in which the particle moves in a harmonic potential and experiences both thermal and Poisson shot-noise kicks with specified amplitude distribution due to moving active particles in the bath. A variety of exact analytical results for the particle position statistics are derived, like mean, variance, skewness and excess kurtosis. Interestingly, the positions' distribution, for any choice of the parameters of the system, is leptokurtic, in accordance with recent experimental studies.
The work also sheds light on when and how to use the notion of effective temperature in such active systems.
Keywords: Brownian motion; active matter; non-Gaussian fluctuations; stochastic processes