Brownian Motion as an Irreversible Non-Markovian Process

The paper presents a method of describing Brownian motion in a non-equilibrium medium for the case of irreversible processes. We computed spectral density of velocity fluctuations for a Brownian particle in a non-equilibrium medium and determined that in the low-frequency region it is represented by flicker noise. We employed the method we developed to describe Brownian motion in a non-equilibrium medium to compute fluctuations of current in a small volume of an electrolyte. We derived estimations of the Hooge parameter magnitude and the randomisation time constant for ions in an electrolyte, which match the estimations obtained via experiments

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