Abstract

In this paper, the influence of the complex coupling factors on the oscillation taking place in the (Belousov–Zhabotinsky) BZ reaction has been studied. By analyzing the oscillation process of the BZ reaction from both the non-equilibrium thermodynamic and dynamic methods, it is found that if the complex coupling effects in the entire reaction system are strong enough, the steady state of the system will lose its stability; obviously, in this case, the dissipative structure is more likely to appear in the system, and the larger the complex coupling effects are, the easier the steady state of the system is to lose its stability, so it can be concluded that the complex couple factors make their most important contributions to the oscillation phenomena of the BZ reaction. Furthermore, it is also found that one of the complex coupling factors is related to the strength of this self-catalyst reaction.

Highlights

  • From a thermodynamic point of view, a dissipative structure refers to a stable and orderly transmission structure that may appear far away from a balanced complex open system, and it had been studied generally by the non-equilibrium thermodynamics and the dynamic ways, respectively.1–4 Obviously, in this complex system, a lot of factors make their contributions to this dissipative structure, but which factor will play the dominant role is still not very well known

  • In this paper, the BZ reaction should be studied once more by both the non-equilibrium thermodynamics and dynamical methods, respectively, just to find out the roles played by all the specific factors in the BZ chemical reaction

  • Based on Ref. 5, we found that the complex coupling effect plays a very important role in the instability of steady state, and the later discussions will show whether these complex coupling factors play their important roles or not

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Summary

INTRODUCTION

From a thermodynamic point of view, a dissipative structure refers to a stable and orderly transmission structure that may appear far away from a balanced complex open system, and it had been studied generally by the non-equilibrium thermodynamics and the dynamic ways, respectively. Obviously, in this complex system, a lot of factors make their contributions to this dissipative structure, but which factor (or factors) will play the dominant role is still not very well known. From a thermodynamic point of view, a dissipative structure refers to a stable and orderly transmission structure that may appear far away from a balanced complex open system, and it had been studied generally by the non-equilibrium thermodynamics and the dynamic ways, respectively.1–4 In this complex system, a lot of factors make their contributions to this dissipative structure, but which factor (or factors) will play the dominant role is still not very well known. In 1971, Field, Koros, and Noyes et al further proposed the Oregonator model to explain the reaction mechanism (named FKN mechanism) and the most properties of the BZ reaction.10–14 All these studies are focused on the non-equilibrium thermodynamic properties or on the dynamical properties in whole, so comprehensive studies including the complex couple factors are needed. In this paper, the BZ reaction should be studied once more by both the non-equilibrium thermodynamics and dynamical methods, respectively, just to find out the roles played by all the specific factors in the BZ chemical reaction

MODEL OF BZ REACTION
INSTABILITY ANALYSES OF NON-EQUILIBRIUM STEADY-STATE OF BZ REACTION
CONCLUSION

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