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Direct route to thermodynamic uncertainty relations and their saturation
Thermodynamic uncertainty relations (TURs) bound the dissipation in nonequilibrium
systems from below by fluctuations of an observed current. Contrasting the elaborate …
systems from below by fluctuations of an observed current. Contrasting the elaborate …
Coarse graining empirical densities and currents in continuous-space steady states
We present the conceptual and technical background required to describe and understand
the correlations and fluctuations of the empirical density and current of steady-state diffusion …
the correlations and fluctuations of the empirical density and current of steady-state diffusion …
Mathematical, thermodynamical, and experimental necessity for coarse graining empirical densities and currents in continuous space
We present general results on fluctuations and spatial correlations of the coarse-grained
empirical density and current of Markovian diffusion in equilibrium or nonequilibrium steady …
empirical density and current of Markovian diffusion in equilibrium or nonequilibrium steady …
On correlations and fluctuations of time-averaged densities and currents with general time-dependence
We present technical results required for the description and understanding of correlations
and fluctuations of the empirical density and current as well as diverse time-integrated and …
and fluctuations of the empirical density and current as well as diverse time-integrated and …
[PDF][PDF] Direct route to thermodynamic uncertainty relations
C Dieball, A Godec - arxiv preprint arxiv:2208.06402, 2022 - pure.mpg.de
Thermodynamic uncertainty relations (TURs) bound the dissipation in non-equilibrium
systems from below by fluctuations of an observed current. Contrasting the elaborate …
systems from below by fluctuations of an observed current. Contrasting the elaborate …
Non-equilibrium Statistical Mechanics Studied Through the Lens of Stochastic Calculus
CV Dieball - 2024 - ediss.uni-goettingen.de
The microscopic world of atoms and molecules is continuously in motion, which is
manifested on the macroscopic scale as a non-zero temperature. Due to collisions with …
manifested on the macroscopic scale as a non-zero temperature. Due to collisions with …