Acta Phys. -Chim. Sin. ›› 1992, Vol. 8 ›› Issue (03): 289-292.doi: 10.3866/PKU.WHXB19920301

• Communication •     Next Articles

A Simple Bimolecular Reaction Model Giving Rise to Pitchfork Bifurcation

Li Ru-Sheng; Liu Qing-Hua   

  1. Department of Chemistry, Tsinghua University, Beijing 100084; Department of Applied Mathematics and Physics, Beijing Institute of Chemical Technology, Beijing 100029
  • Received:1991-11-07 Revised:1992-01-09 Published:1992-06-15
  • Contact: Li Ru-Sheng

Abstract: A simple reaction model; A+B→C+D, B+C→2B,D→A, is shown to be able to exhibit a pitchfork bifurcation of stationary states in a continuous stirred tank reactor (CSTR). To be different from the well-known Schlogl model, the present model involves only mono-and bimolecular reaction steps and without an assumption of pool chemicals which may cause an inequality of total mass for different states in system and, in turn, some problems for comparison of thermodynamic properties for different states.

Key words: Bimolecular reaction, Pitchfork bifurcation, Stationary state, Nonequilibrium phase transition