Spatio-temporal behaviors of a clock reaction in an open gel reactor

被引:15
作者
Benyaich, Khalid
Erneux, Thomas
Metens, Stephane
Villain, Sebastien
Borckmans, Pierre
机构
[1] Free Univ Brussels, B-1050 Brussels, Belgium
[2] Univ Paris 07, CNRS, UMR 7057, F-75251 Paris 05, France
[3] Free Univ Brussels, Serv Chim Phys Nonlineaire, B-1050 Brussels, Belgium
关键词
D O I
10.1063/1.2219703
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The concentration profiles along the feeding direction of a one side fed gel reactor are analyzed for the iodate-arsenous acid reaction. Multiplicity of inhomogeneous stationary solutions is derived. It is also shown that such profiles may undergo oscillatory bifurcations under long range activation conditions. The bifurcation diagram is analyzed using a Galerkin approximation, the asymptotic validity of which is discussed. (c) 2006 American Institute of Physics.
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页数:8
相关论文
共 31 条
[1]   ON STABILITY CRITERIA OF CHEMICAL REACTION ENGINEERING [J].
ARIS, R .
CHEMICAL ENGINEERING SCIENCE, 1969, 24 (01) :149-&
[2]   SINGULAR HOPF-BIFURCATION TO RELAXATION OSCILLATIONS .2. [J].
BAER, SM ;
ERNEUX, T .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1992, 52 (06) :1651-1664
[3]  
BENYAICH K, 2005, THESIS U LIBRE BRUXE
[4]   Theoretical and experimental studies of spatial bistability in the chlorine-dioxide-iodide reaction [J].
Blanchedeau, P ;
Boissonade, J ;
De Kepper, P .
PHYSICA D-NONLINEAR PHENOMENA, 2000, 147 (3-4) :283-299
[5]   Spatial bistability: A source of complex dynamics. From spatiotemporal reaction-diffusion patterns to chemomechanical structures [J].
Boissonade, J. ;
De Kepper, P. ;
Gauffre, F. ;
Szalai, I. .
CHAOS, 2006, 16 (03)
[6]   Self-oscillations in chemoresponsive gels: A theoretical approach [J].
Boissonade, J .
CHAOS, 2005, 15 (02)
[7]   TRANSITIONS FROM BISTABILITY TO LIMIT-CYCLE OSCILLATIONS - THEORETICAL-ANALYSIS AND EXPERIMENTAL-EVIDENCE IN AN OPEN CHEMICAL-SYSTEM [J].
BOISSONADE, J ;
DEKEPPER, P .
JOURNAL OF PHYSICAL CHEMISTRY, 1980, 84 (05) :501-506
[8]   Spatial bistability and waves in a reaction with acid autocatalysis [J].
Boissonade, J ;
Dulos, E ;
Gauffre, F ;
Kuperman, MN ;
De Kepper, P .
FARADAY DISCUSSIONS, 2001, 120 :353-361
[9]   Diffusive instabilities and chemical reactions [J].
Borckmans, P ;
Dewel, G ;
De Wit, A ;
Dulos, E ;
Boissonade, J ;
Gauffre, F ;
De Kepper, P .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (11) :2307-2332
[10]   SINGULAR HOPF-BIFURCATION TO UNSTABLE PERIODIC-SOLUTIONS IN A NMR LASER [J].
BRAZA, PA ;
ERNEUX, T .
PHYSICAL REVIEW A, 1989, 40 (05) :2539-2542