具有平方衰减项的平方自催化开放系统中的化学波研究

高等学校化学学报 ›› 1999, Vol. 20 ›› Issue (5): 754.

具有平方衰减项的平方自催化开放系统中的化学波研究

冯长根, 徐世英, 刘赵淼, 曾庆轩, 张蕊

北京理工大学机电工程系, 北京 100081

出版日期:1999-05-24 发布日期:1999-05-24
通讯作者: 冯长根,男,39岁,博士,教授.
作者简介:冯长根,男,39岁,博士,教授.
基金资助:
国家自然科学基金(29503016)资助课题

Travelling Waves in an Open Quadralic Autocatalytic Chemical System Coupled with the Quadralic Decay Reaction

FENG Chang-Gen, XU Shi-Ying, LIU Zhao-Miao, ZENG Qing-Xuan, ZHANG Rui

Department of Mechanics & Engineering, Beijing Institute of Technology, Beijing, 100081

Online:1999-05-24 Published:1999-05-24

摘要/Abstract

摘要： 建立了开放系统中伴随平方衰减反应的双分子自催化反应理论模型,给出了系统的动力学分析,在给定初边值下解的估计及存在化学波的必要条件、化学波波速的最小值及平方衰减项对化学波的影响.随着衰减系数的增加,平方衰减项逐步成为系统反应中化学波波形的决定因素.

关键词: 开放系统, 自催化, 化学波, 反应-扩散方程

Abstract: Theoretical model of an open quadralic autocatalytic chemical reaction system coupled with the quadratic decay reaction is set up. Through the kinetics analysis, the stability of the two stationary states is found. The estimation of the solution for the initial value and bounds problem is established, and a necessary condition for travelling waves to exist is μ≥φ . The minimum speed of the chemical waves are given, that is c_min=2 δ(μ-φ) . The effect of open quadralic decay reaction on the patterns of the chemical waves is also given. With the increase of the decay parameter, the quadratic decay reaction become progressively a decisive element of wave patterns in the reaction diffusion system.

Key words: Open system, Autocatalysis, Chemical waves, Reaction diffusion equation

中图分类号:

O642.12

TrendMD:

冯长根, 徐世英, 刘赵淼, 曾庆轩, 张蕊. 具有平方衰减项的平方自催化开放系统中的化学波研究. 高等学校化学学报, 1999, 20(5): 754.

FENG Chang-Gen, XU Shi-Ying, LIU Zhao-Miao, ZENG Qing-Xuan, ZHANG Rui . Travelling Waves in an Open Quadralic Autocatalytic Chemical System Coupled with the Quadralic Decay Reaction. Chem. J. Chinese Universities, 1999, 20(5): 754.