Berlin 2018 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 80: Brownian Motion and Transport

DY 80.4: Vortrag

Freitag, 16. März 2018, 10:45–11:00, BH-N 128

Large deviation function for a driven underdamped particle in a periodic potential — •Lukas P. Fischer, Patrick Pietzonka, and Udo Seifert — II. Institut für Theoretische Physik, Universität Stuttgart, Germany

Large deviation theory is a versatile tool that proved useful for establishing connections between current fluctuations and thermodynamic steady state properties, e.g. the thermodynamic uncertainty relation [1]. Previous studies, however, were limited to systems which are diffusive in all variables, i.e. overdamped Brownian motion or Markov jump processes. We extend the work to underdamped Brownian motion of a single, driven particle in a periodic potential [2]. To this end, we derive an explicit expression for the large deviation functional of the empirical phase space density, which replaces the level 2.5 functional used for overdamped dynamics. Using this approach, we obtain several bounds on the large deviation function of the particle current. We compare them to bounds for overdamped dynamics that have recently been derived. Furthermore, we assess the tightness of the bounds in a numerical case study for a cosine potential.

[1] A.C. Barato, U.S., Phys. Rev. Lett. 114, 158101 (2015)

[2] L.P.F., P.P., U.S., submitted to Phys. Rev. E