Effects of slow spatial variations on dissipative structures
作者： G. Dewel , P. Borckmans
DOI: 10.1016/0375-9601(89)90025-X
关键词:
摘要: Abstract The influence on a reaction-diffusion system of slow spatial variations possessing minimum is analyzed. We show that local nonuniform steady states or phase gradient waves may be generated. Their onset studied using two-scaling approach.
ulb.ac.be
elsevier.com
sci-hub.se 参考文章(16)
Ilya Prigogine, G. Nicolis, Self-Organization in nonequilibrium systems John Wiley & Sons. ,(1977)
Zoltan Noszticzius, W. Horsthemke, W. D. McCormick, Harry L. Swinney, W. Y. Tam, Sustained chemical waves in an annular gel reactor: a chemical pinwheel Nature. ,vol. 329, pp. 619- 620 ,(1987) , 10.1038/329619A0
J.P. Pouget, C. Noguera, R. Moret, Splitting or not splitting of the Van Hove singularity in the high T c superconductors Journal de Physique. ,vol. 49, pp. 375- 381 ,(1988) , 10.1051/JPHYS:01988004903037500
Peter Ortoleva, John Ross, Local Structures in Chemical Reactions with Heterogeneous Catalysis The Journal of Chemical Physics. ,vol. 56, pp. 4397- 4400 ,(1972) , 10.1063/1.1677879
Lorenz Kramer, Eshel Ben-Jacob, Helmut Brand, M. C. Cross, Wavelength Selection in Systems Far from Equilibrium Physical Review Letters. ,vol. 49, pp. 1891- 1894 ,(1982) , 10.1103/PHYSREVLETT.49.1891
P. Borckmans, G. Dewel, D. Walgraef, Y. Katayama, The Search for Turing Structures Journal of Statistical Physics. ,vol. 48, pp. 1031- 1044 ,(1987) , 10.1007/BF01009531
M. Boukalouch, J. Elezgaray, A. Arneodo, J. Boissonade, P. De Kepper, Oscillatory instability induced by mass interchange between two coupled steady-state reactors The Journal of Physical Chemistry. ,vol. 91, pp. 5843- 5845 ,(1987) , 10.1021/J100307A005
W. Y. Tam, W. Horsthemke, Z. Noszticzius, H. L. Swinney, Sustained spiral waves in a continuously fed unstirred chemical reactor Journal of Chemical Physics. ,vol. 88, pp. 3395- 3396 ,(1988) , 10.1063/1.453935
J AUCHMUTY, G NICOLIS, Bifurcation analysis of nonlinear reaction-diffusion equations—I. Evolution equations and the steady state solutions Bulletin of Mathematical Biology. ,vol. 37, pp. 323- 365 ,(1975) , 10.1016/S0092-8240(75)80036-X
Peter Ortoleva, John Ross, Phase waves in oscillatory chemical reactions The Journal of Chemical Physics. ,vol. 58, pp. 5673- 5680 ,(1973) , 10.1063/1.1679191