Abstract
This paper is devoted to study the basic symmetry breaking phenomena that one encounters in non-equilibrium physics. We discuss the formation of patterns which break spatial, temporal and spatio-temporal translations.
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References
P.W. Anderson, “Basic Notions of Condensed Matter Physics” in Frontiers in Physics (1984).
F.H Busse, Rep. Prog. Phys. 41, 1929 (1978).
L.D. Landau, “On the Theory of Phase Transitions” in ”Collected Paper of L.D. Landau” Pergamon Press (1965).
A. C. Newell and Whitehead, J. Fluid Mech. 38, 279 (1969).
L.A. Segel, J. Fluid Mech. 38, 203 (1969).
A.C. Newell in Lectures in Applied Mathematics, 15, Am. Math. Society, Providence (1974).
W. Eckaus, “Studies on Nonlinear Stability Theory”, Springer Tracts in Natural Philosophy, 6, Springer Berlin (1965).
L. Kramer and W. Zimmermann, Physica 16D, 221 (1985).
M. Lowe and J.P. Gollub, Phys. Rev. Lett. 55, 2575 (1985).
P. Ortovela and J. Ross, J. Chem. Phys. 58, 5673 (1973).
Y. Curamoto, Prog. Theor. Phys. 71, 1182 (1984).
Y. Pomeau and P. Manneville, J. Phys. Lettres 40, 609 (1979).
“Physics of Defects”, Ed. R Balian, M Kleman, and J.P Poirier, (North Holland, Amsterdam, 1980)
J. Toner and D.R. Nelson, Phys. Rev. 23B, 316 (1981).
“Structure and dynamics of dislocations in anisotropic pattern forming systems”, E. Bodenschatz, L. Kramer and W. Pesch, (Preprint 88).
Y. Kuramoto, “Chemical Oscillations, Waves and Turbulence”, Springer Series in Synergetics 19 (1984).
P. Coullet, L. Gil and J. Lega, Phys. Rev. Lett. 62, 1619 (1989).
E.Moses and V.Steinberg, Phys. Rev. A 34, 693 (1986).
P.W.Walden, P.Kolodner, A.Passner and C.M.Surko, Phys. Rev. Lett. 55, 496 (1985).
I.Rehberg and G.Ahlers, Phys.Rev.Lett. 55, 500 (1985)
P.Chossat and G.Iooss, Japan J. Appl. Maths. 2, 37 (1985).
P.Coullet, S.Fauve and E.Tirapegui, J.Phys.Lett. 46, 787 (1985).
P.Coullet, C.Elphick, L.Gil, and J.Lega, Phys. Rev. Lett. 59, 884 (1987).
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© 1990 Kluwer Academic Publishers
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Coullet, P., Gil, L. (1990). Ginzburg-Landau models of non-equilibrium. In: Conte, R., Boccara, N. (eds) Partially Intergrable Evolution Equations in Physics. NATO ASI Series, vol 310. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0591-7_8
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DOI: https://doi.org/10.1007/978-94-009-0591-7_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6754-6
Online ISBN: 978-94-009-0591-7
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