Volume 118, Number 6, June 2017
|Number of page(s)||7|
|Published online||22 August 2017|
Exact nonmarkovianity measure based on time autocorrelation functions
M. Smoluchowski Institute of Physics, Jagiellonian University - Łojasiewicza 11, Kraków, Poland
Received: 6 May 2017
Accepted: 22 July 2017
It is shown that the nonmarkovianity measure based on autocorrelation functions is equivalent to, and easier to use than the exact Bachelier-Smoluchowski-Chapman-Kolmogorov equation. A few examples of the application of the former are discussed. It is found that nonmarkovian are: most of the processes with the stationary correlation function (with notable exception of the stationary Ornstein-Uhlenbeck process), fractional Brownian motions, chaotic processes, quantum oscillators, and chemical reactions.
PACS: 05.40.Jc – Brownian motion / 05.45.Ac – Low-dimensional chaos / 82.20.-w – Chemical kinetics and dynamics
© EPLA, 2017
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