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Fokker-Planck equations for stochastic diffusion associated with Markovian electrochemical noise

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Abstract

The theoretical analysis of quadratic correlations of equilibrium electrical fluctuations in the Markovian electrochemical ac circuit is accomplished. The modified Fokker-Plank equation which allows one to follow the time evolution of 2nd-order correlators of electrochemical stochastic diffusion associated with the Markovian electrochemical ac circuit (Eq. (7)) is obtained. Due to interdisciplinary significance of the random process theory, the resulting Fokker-Planck equation is also of certain interest for the general theory of stochastic phenomena occurring near the equilibrium state. The derived modified Fokker-Planck equation can be used in the electrochemical noise diagnosis as the Markovian standard of electrochemical stochastic diffusion.

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Authors and Affiliations

  1. Frumkin Institute of Physical Chemistry and Electrochemistry, Russian Academy of Sciences, Leninskii pr. 31, Moscow, 119071, Russia

    B. M. Grafov

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  1. B. M. Grafov
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Correspondence to B. M. Grafov.

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Original Russian Text © B.M. Grafov, 2015, published in Elektrokhimiya, 2015, Vol. 51, No. 3, pp. 325–327.

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Grafov, B.M. Fokker-Planck equations for stochastic diffusion associated with Markovian electrochemical noise. Russ J Electrochem 51, 278–280 (2015). https://doi.org/10.1134/S1023193515030064

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  • DOI: https://doi.org/10.1134/S1023193515030064

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