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物理学报. 1983, 32(3): 285-293.
doi: 10.7498/aps.32.285.
多变量Master方程及其波动解
- 收稿日期: 1981-09-16
- 刊出日期: 2005-07-21
摘要: 本文讨论了线性反应过程:A→X多变量Master方程的波动解。除了可以由反应扩散方程得到的密度波以及由之耦合而成的多波解外,不可能得到类似于文献[2]中得到的涨落波分支。在考虑压力效应后,情况基本不变。本文讨论了由于化学反应及扩散的空间尺度(自由程)一般差别很大,多变量Master方程所存在的问题。
English Abstract
MULTIVARIATE MASTER EQUATION AND IT'S WAVE SOLUTIONS
- Received Date:
16 September 1981
- Published Online:
21 July 2005
Abstract: In this article, the wave solutions of multivariate master equation for linear reaction system: A→X have been discussed. Except the density waves which is obtainable from the usual reaction diffusion equation and multiwave solutions, it is not possible to obtain any fluctuation wave branch like that given in ref. [2]. We note that, due to the large difference between the spatial scales of chemical reaction and diffusion, it is doubtful to use the multivariate master equation in analysing the critical behaviour of non-linear system.
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