Power-law Fokker-Planck equation of unimolecular reaction based on the approximation to master equation
作者： Yanjun Zhou , Cangtao Yin
DOI: 10.1016/J.PHYSA.2016.07.060
关键词: Power law 、 Pareto distribution 、 Mathematical analysis 、 Physics 、 Tsallis distribution 、 Taylor series 、 Master equation 、 System size expansion 、 Chemical kinetics 、 Fokker–Planck equation 、 Statistical physics
摘要: Abstract The Fokker–Planck equation (FPE) of the unimolecular reaction with Tsallis distribution is established by means approximation to master equation. memory effect, taken into transition probability, relevant and important for lots anomalous phenomena. Taylor expansion large volume applied derive power-law FPE. steady-state solution FPE microscopic dynamics Ito–Langevin concentration variables are therefore obtained discussed. Two reactions as examples distributions different parameters analyzed, which may imply strong effect hopping process.
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