BPCPPDYSOE21 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 32: Posters DY - Statistical Physics, Brownian Motion and Nonlinear Dynamics

DY 32.6: Poster

Dienstag, 23. März 2021, 16:30–19:00, DYp

Spectral theory of fluctuations in time-average statistical mechanics of reversible and driven systems — •Alessio Lapolla, David Hartich, and Aljaz Godec — Mathematical BioPhysics group, Max Plack Institute for Biophysical Chemistry, Goettingen, Germany

Time-averaged observables are one of the building blocks for the analysis of both theoretical and experimental systems. We present a spectral-theoretic approach to derive exact results for the mean, fluctuations, and correlations of time-average observables for ergodic stochastic processes, with continuous or discrete dynamics and with reversible or irreversible dynamics. The emergence of the universal central limit law is shown explicitly on large- deviation timescales. Our results are directly applicable to a diverse range of phenomena underpinned by time-average observables and additive functionals in physical, chemical, biological, and economical systems.

[1] Alessio Lapolla, David Hartich, and Aljaž Godec Phys. Rev. Research 2, 043084 (2020)