SKM 2023 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 27: Statistical Physics: Far From Equilibrium I

DY 27.8: Vortrag

Mittwoch, 29. März 2023, 11:45–12:00, ZEU 250

Work fluctuations in the harmonic Active Ornstein-Uhlenbeck particle model — •Giuseppe Gonnella — Università degli Studi di Bari, Bari, Italy — Istituto Nazionale di Fisica Nucleare, sezione di Bari

Over the past few years great interest arose in providing a thermodynamic description of Active Matter Systems and an important emphasis was put on the Active Work study. The distribution of such an observable has been object of recent research[1] as possible singularities signal the occurrence of Dynamical Phase Transitions (DPTs)[2,3], in turn related to peculiar trajectory realisations.

Here we focus on a single harmonically trapped Active Ornstein-Uhlenbeck Particle and provide the analytic expression for the scaled cumulant generating function (SCGF) of the Active Work. Interestingly, we find the SCGF to be non-steep in many physical situations and we provide insight on the effect of relevant system parameters, such as the Peclet number, on the SCGF steepness trough a phase diagram in the system parameter space. Through Legendre-Fenchel transform, the SCGF steepness is shown to lead to singular rate functions with linear tails, and ultimately to the occurrence of DPTs also in this system. We also investigate on the role of initial and final condition in producing the consequent anomalous trajectories.

[1] Semeraro M. et al, J Stat Mech, 2021

[2] Cagnetta F. et al., PRL, 2017

[3] Keta YE. et al., PRE, 2021