Open AccessTHE SPACE-TIME CORRELATION OF THE FLUCTUATION IN A CHEMICAL REACTION SYSTEM (I)——FLUCTUATION, DIFFUSION AND WARES
Author(s) -
Huo Yu-Ping
Publication year - 1982
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.31.355
Subject(s) - master equation , probability density function , diffusion , physics , correlation function (quantum field theory) , statistical physics , space (punctuation) , reaction–diffusion system , distribution function , diffusion equation , distribution (mathematics) , distortion (music) , mathematical analysis , thermodynamics , mathematics , quantum mechanics , statistics , amplifier , linguistics , philosophy , economy , optoelectronics , cmos , dielectric , economics , quantum , service (business)
In this article, the question about how to describe the space correlation of the fluctuation in a chemical reaction system has been analysed. Eeferring to the reaction-diffusion equation., we have successfully introduced the diffusion or pressure terms into master equation of the probability distribution function of density. Solving this master equation for infinite medium, a series of waves have been obtained. The first branch is the average density wave which has already been obtained from the reaction-diffusion equation. It is just the acoustic wave in gases. Other branches decribe the propagation of the fluctuation moments of the local density. They present the propagation processes of the local distortion of the probability distribution function. The method to solve the initial problem of the master equation have also been discussed.