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On correlations and fluctuations of time-averaged densities and currents with general time-dependence

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Dieball,  C.
Research Group of Mathematical Biophysics, Max Planck Institute for Multidisciplinary Sciences, Max Planck Society;

/persons/resource/persons206062

Godec,  A.
Research Group of Mathematical Biophysics, Max Planck Institute for Multidisciplinary Sciences, Max Planck Society;

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2208.05460.pdf
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Citation

Dieball, C., & Godec, A. (2022). On correlations and fluctuations of time-averaged densities and currents with general time-dependence. Journal of Physics A, 55(47): 475001. doi:10.1088/1751-8121/aca304.


Cite as: https://hdl.handle.net/21.11116/0000-000B-328B-0
Abstract
We present technical results required for the description and understand-
ing of correlations and fluctuations of the empirical density and current as well as
diverse time-integrated and time-averaged thermodynamic currents of diffusion pro-
cesses with a general time dependence on all time scales. In particular, we generalize
the results from arXiv:2105.10483 (Phys. Rev. Lett. , article in press), arXiv:2204.06553
(Phys. Rev. Research, article in press), and arXiv:2206.04034 to additive functionals
with explicit time dependence and transient or non-ergodic overdamped diffusion. As
an illustration we apply the results to two-dimensional harmonically confined over-
damped diffusion in a rotational flow evolving from a non-stationary initial distribution.