Regensburg 2022 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 44: Poster Session: Statistical Physics and Critical Phenomena

DY 44.13: Poster

Donnerstag, 8. September 2022, 15:00–18:00, P2

Arcsine laws in non-equilibrium regime — •Avijit Kundu^{1, 2}, Raunak Dey², Biswajit Das², and Ayan Banerjee² — ¹University of Bayreuth, Universitystrasse 30, 95447, Bayreuth, Germany — ²Indian Institute of Science Education and Research Kolkata, Mohanpur, Kalyani, 741246, India

Most of the processes in the mesoscopic world especially inside living cell are far from thermal equilibrium. The time evolution of such processes is important to study to characterize the processes. Remarkably, Paul Lévy defined arcsine laws for three variables related to the stochastic Wiener process. Here we have studied stochastically driven colloidal particle in a viscous fluid and observed the entropic current, work done on the system or dissipated by it, follow the Lévy arcsine laws in the large time limit. The significant lead of this work is to show the convergence of cumulative distribution to the arcsine law is faster for the case of near equilibrium system where the entropy production rate is smaller. We also have tested the convergence rates of cumulative distributions for different non-equilibrium systems by driving the optically trapped colloidal probe with external noise parameters and changing the flow field by introducing a microbubble in its vicinity.