Flow-induced symmetry reduction in two-dimensional reaction–diffusion system

作者: Hai Xiang Hu , Xiao Chun Li , Qian Shu Li

DOI: 10.1016/J.CHEMPHYS.2008.11.026

关键词: Flow (mathematics)Critical valuePotential flowBifurcationReaction–diffusion systemMechanicsSymmetry (physics)Pattern formationChemistryWavenumberClassical mechanics

摘要: The influence of uniform flow on the pattern formation is investigated in a two-dimensional reaction–diffusion system. It is found that the convective flow plays a key role on pattern …

参考文章(25)
Chemical waves and patterns Kluwer Academic Publishers. ,(1995) , 10.1007/978-94-011-1156-0
I. Prigogine, R. Lefever, Symmetry Breaking Instabilities in Dissipative Systems. II Journal of Chemical Physics. ,vol. 48, pp. 1695- 1700 ,(1968) , 10.1063/1.1668896
Mads Kærn, Michael Menzinger, Razvan Satnoianu, Axel Hunding, Chemical waves in open flows of active media: Their relevance to axial segmentation in biology Faraday Discussions. ,vol. 120, pp. 295- 312 ,(2002) , 10.1039/B103244P
Alan Mathison Turing, The Chemical Basis of Morphogenesis Philosophical Transactions of the Royal Society B. ,vol. 237, pp. 37- 72 ,(1952) , 10.1098/RSTB.1952.0012
Fathei Ali, Michael Menzinger, Stirring Effects and Phase-Dependent Inhomogeneity in Chemical Oscillations: The Belousov-Zhabotinsky Reaction in a CSTR Journal of Physical Chemistry A. ,vol. 101, pp. 2304- 2309 ,(1997) , 10.1021/JP9624515
Arkady B. Rovinsky, Michael Menzinger, Self-organization induced by the differential flow of activator and inhibitor. Physical Review Letters. ,vol. 70, pp. 778- 781 ,(1993) , 10.1103/PHYSREVLETT.70.778
MADS KÆRN, MICHAEL MENZINGER, AXEL HUNDING, Segmentation and somitogenesis derived from phase dynamics in growing oscillatory media. Journal of Theoretical Biology. ,vol. 207, pp. 473- 493 ,(2000) , 10.1006/JTBI.2000.2183
Sergey P. Kuznetsov, Noise-induced absolute instability Mathematics and Computers in Simulation. ,vol. 58, pp. 435- 442 ,(2002) , 10.1016/S0378-4754(01)00382-2
G. T. Fraser, A. S. Pine, R. D. Suenram, Optothermal‐infrared and pulsed‐nozzle Fourier‐transform microwave spectroscopy of rare gas–CO2 complexes Journal of Chemical Physics. ,vol. 88, pp. 6157- 6167 ,(1988) , 10.1063/1.454454
Q. Ouyang, Harry L. Swinney, Transition from a uniform state to hexagonal and striped Turing patterns Nature. ,vol. 352, pp. 610- 612 ,(1991) , 10.1038/352610A0