Regensburg 2022 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 49: Statistical Physics: General

DY 49.8: Talk

Friday, September 9, 2022, 11:30–11:45, H20

Uncovering broken detailed balance hidden by unknown degrees — •Gabriel Knotz, Till moritz Münker, Timo Betz, and Matthias Krüger — Fakultät für Physik, Georg-August-Universität, Göttingen, Germany

The complex nature of non equilibrium systems remains a challenging task in statistical physics, but especially for living matter. A major experimental problem is, that often some relevant degrees cannot be observed (are hidden) which complicates theoretical analysis. We study a non-equilibrium model with two degrees of freedom. If both degrees are observed, the breaking of detailed balance can easily be quantified. However, by treating one of the degrees as hidden, the trajectory of the other is time reversal symmetric. To still detect the breakage of detailed balance we can use a new quantity, the mean backward relaxation (MBR), that measures the relaxation of displacements caused by the fluctuating forces. By deriving rigorous statements for equilibrium in general and calculating the MBR for the non-equilibrium system, we show that the MBR reveals that the system breaks detailed balance even though one degree is hidden. Further we are able to relate the deviation of the MBR compared to an equilibrium system to an effective energy. This analysis adds a new approach to systems that deal with unknown, but relevant non-equilibrium degrees of freedom.[1]
 [1] Till M. Muenker, Gabriel Knotz, Matthias Krüger and Timo Betz. Onsager regression characterizes living systems in passive measurements. bioRxiv: 2022.05.15.491928