Power-law Fokker–Planck equation of unimolecular reaction based on the approximation to master equation

Yanjun Zhou and Cangtao Yin

Physica A: Statistical Mechanics and its Applications, 2016, vol. 463, issue C, 445-451

Abstract: The Fokker–Planck equation (FPE) of the unimolecular reaction with Tsallis distribution is established by means of approximation to the master equation. The memory effect, taken into transition probability, is relevant and important for lots of anomalous phenomena. The Taylor expansion for large volume is applied to derive the power-law FPE. The steady-state solution of FPE and microscopic dynamics Ito–Langevin equation of concentration variables are therefore obtained and discussed. Two unimolecular reactions are taken as examples and the concentration distributions with different power-law parameters are analyzed, which may imply strong memory effect of hopping process.

Keywords: Master equation; Chemical kinetics; Power-law distribution (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:463:y:2016:i:c:p:445-451

DOI: 10.1016/j.physa.2016.07.060

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