Abstract
The effect of inhomogeneous fluctuations on instabilities in various nonlinear chemical models is studied in terms of concepts developed in the theory of equilibrium phase transitions.
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References
G. Nicolis and I. Prigogine,Self-Organization in Nonequilibrium Systems (Wiley, New York, 1977).
H. Haken,Synergetics, 2nd ed. (Springer, Berlin, 1978).
S. K. Ma,Modern Theory of Critical Phenomena (Benjamin, New York, 1976).
N. N. Bogolubov,Lectures in Quantum Statistics (MacDonald, London, 1971), Vol. 2.
G. Nicolis and M. Malek-Mansour,J. Stat. Phys. 22:495 (1980).
L. D. Landau and E. M. Lifshitz,Statistical Physics (Addison-Wesley, Reading, Mass., 1969).
S. Grossman,J. Chem. Phys. 65:2007 (1976).
F. C. Schlögl,Z. Physik 253:147 (1972).
G. Dewel, D. Walgraef, and P. Borckmans,Z. Physik B 28:235 (1977).
G. Nicolis and J. W. Turner,Physica 89A:326 (1977).
S. Grossman and P. H. Richter,Z. Physik 242:458 (1971); B. Mühlschlegel, D. J. Scalapino, and R. Denton,Phys. Rev. B 6:1767 (1972); W. A. Smith,Phys. Rev. Lett. 32:1164 (1974).
S. A. Brazovskii,Sov. Phys.-JETP 41:85 (1975).
D. Walgraef, G. Dewel, and P. Borckmans,Phys. Rev. A 21:397 (1980).
F. H. Busse,Rep. Prog. Phys. 41:1930 (1978).
S. Alexander and J. McTague,Phys. Rev. Lett. 41:702 (1978).
J. Swift and P. C. Hohenberg,Phys. Rev. A 15:319 (1977).
H. C. E. Hentschel,Z. Physik B 31:401 (1978).
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Chercheur qualifié au Fonds National de la Recherche Scientifique.
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Dewel, G., Borckmans, P. & Walgraef, D. Nonequilibrium phase transitions and chemical instabilities. J Stat Phys 24, 119–137 (1981). https://doi.org/10.1007/BF01007639
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DOI: https://doi.org/10.1007/BF01007639