BELOUSOV-ZHABOTINSKII OSCILLATIONS IN A BATCH REACTOR

被引:8
作者
MAZZOTTI, M [1 ]
SERRAVALLE, G [1 ]
MORBIDELLI, M [1 ]
机构
[1] POLITECN MILAN,DIPARTIMENTO CHIM FIS APPLICATA,I-20133 MILAN,ITALY
关键词
D O I
10.1016/0009-2509(94)85014-3
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
The oscillations of the Belousov-Zhabotinskii reaction in a batch reactor vanish due to the consumption of the main reactants, i.e. bromate and malonic acid. This behavior has been analyzed first using the classical Oregonator model, where reactant concentrations are kept constant, and then introducing a modified model, in which the reactant concentration is allowed to vary according to the stoichiometry of the considered set of chemical reactions. Two different routes to the extinction of oscillations have been found, depending on whether the Oregonator exhibits a subcritical or a supercritical Hopf bifurcation. These theoretical findings are consistent with the experimental observations, that indicate that the disappearance of the oscillations takes place in two rather different ways: either suddenly after a series of practically undamped oscillations or through very slowly damped oscillations.
引用
收藏
页码:681 / 688
页数:8
相关论文
共 24 条
[1]  
[Anonymous], 1991, MATH BIOL
[2]   RELEVANCE OF A 2-VARIABLE OREGONATOR TO STABLE AND UNSTABLE STEADY-STATES AND LIMIT-CYCLES, TO THRESHOLDS OF EXCITABILITY, AND TO HOPF VS SNIPER BIFURCATIONS [J].
BARELI, K ;
NOYES, RM .
JOURNAL OF CHEMICAL PHYSICS, 1987, 86 (04) :1927-1937
[3]   MECHANISTIC DETAILS OF BELOUSOV-ZHABOTINSKII OSCILLATIONS [J].
EDELSON, D ;
FIELD, RJ ;
NOYES, RM .
INTERNATIONAL JOURNAL OF CHEMICAL KINETICS, 1975, 7 (03) :417-432
[4]   ON THE OXYBROMINE CHEMISTRY RATE CONSTANTS WITH CERIUM IONS IN THE FIELD-KOROS-NOYES MECHANISM OF THE BELOUSOV-ZHABOTINSKII REACTION - THE EQUILIBRIUM HBRO2+BRO3-+H+-REVERSIBLE-2BRO2.+H2O [J].
FIELD, RJ ;
FORSTERLING, HD .
JOURNAL OF PHYSICAL CHEMISTRY, 1986, 90 (21) :5400-5407
[5]  
FIELD RJ, 1974, J CHEM PHYS, V60, P1877, DOI 10.1063/1.1681288
[6]   OSCILLATIONS IN CHEMICAL SYSTEMS .2. THOROUGH ANALYSIS OF TEMPORAL OSCILLATION IN BROMATE-CERIUM-MALONIC ACID SYSTEM [J].
FIELD, RJ ;
NOYES, RM ;
KOROS, E .
JOURNAL OF THE AMERICAN CHEMICAL SOCIETY, 1972, 94 (25) :8649-&
[7]  
Field RJ., 1985, OSCILLATIONS TRAVELI
[8]  
Golubitsky M. S., 1985, SINGULARITIES GROUPS
[9]   A NEW MODEL FOR OSCILLATORY BEHAVIOR IN CLOSED SYSTEMS - THE AUTOCATALATOR [J].
GRAY, P ;
SCOTT, SK .
BERICHTE DER BUNSEN-GESELLSCHAFT-PHYSICAL CHEMISTRY CHEMICAL PHYSICS, 1986, 90 (11) :985-996
[10]  
GRAY P, 1990, CHEM OSCILLATIONS IN