"Global symmetry-breaking solutions in a model for two-phase lipid-bilayer vesicles" Gérard IOOSS Laboratoire J.A. J. Not affiliated Several kinetic schemes which lead to an unstable behavior are indicated. R. Lefever, G. Nicolis, and I. Prigogine, J. Chem. G. Nicolis, J. Wallenborn and M.G. Phys. (to be published). Phys. Physica 6D (1983) 337-346 North-Holland Publishing Company SYMMETRY-BREAKING INSTABILITIES ON A FLUID SURFACE LP. Several kinetic schemes which lead to an unstable behavior are indicated. Website © 2020 AIP Publishing LLC. © 2020 Springer Nature Switzerland AG. A pitchfork bifurcation leads to squares that travel uniformly, while a Hopf bifurcation leads to a new class of oscillations in which squares drift to Shir, J. Fluid Mech. Schechter, in Modern. Fluids, in press. To sign up for alerts, please log in first. A. M. Turing, Phil. Part of Springer Nature. Trans. Cite as. (Sondersruck aus Problems of Hydrodynamics and Continuum Mechanics) 9. Here we study symmetry–breaking instabilities of convection with a square planform. 136 (1962), 1126. I. Prigogine, “Structure, Dissipation and Life,” paper given at the International Conference “Physique Theorique et Biologie,” organized by L’Institut de la Vie, Versailles, France, 1967. (N.Y.) 58 (197, © Springer Science+Business Media New York 1972, Thermodynamic Theory of Structure, Stability and Fluctuations, Hydrodynamic and Hydroma, - netic Stability, Non-equilibrium Thermodynamics, Variational Techniques and Stability, Bifurcation theory and non-linear eigen-value problems, https://doi.org/10.1007/978-1-4899-2669-2_9. M.G. D.D. “Theoretical Physics and Biology”, Versailles, France (197]), to appear. Over 10 million scientific documents at your fingertips. Schechter, Chem. 23 (1965), 129. Joseph and C.C. Schechter, Phys. These keywords were added by machine and not by the authors. GOLLUB and Christopher W. MEYER* Physics Department, Haverford College, Haverford, PA 19041, USA and Physics Department, University of Pennsylvania, Philadelphia, PA 19041, USA Received 13 July 1982 Revised 26 October 1982 A sequence of symmetry-breaking instabilities … The thermodynamic theory of symmetry breaking instabilities in dissipative systems is presented. This service is more advanced with JavaScript available, Irreversibility in the Many-Body Problem DOI https://doi.org/10.1007/978-1-4899-2669-2_9; Publisher Name Springer, Boston, MA; Print ISBN 978-1-4899-2671-5; Online ISBN 978-1-4899-2669-2 This is a preview of subscription content. H. Görtler, K. KirchgNssner and P. Sorger, Deutsche Versuchsanstalt fizr Luft-und Raumfahrt E.V. Phys. Symmetry-breaking instabilities residing in a nonlin- ear system govern the formation of solitary waves in various areas of physics and manifest the nature of most nonlinear wave systems. G. Nicolis, Fluctuations around non-equilibrium states in open, non-linear systems, preprint available (1971). Download preview PDF. This option allows users to search by Publication, Volume and Page. A255 (1960), 307. Turner, Proc. If you need an account, please register here, The thermodynamic theory of symmetry breaking instabilities in dissipative systems is presented. A.C. Newell, G.G. We shall discuss in these lectures a few macroscopic aspects of irreversibility and nonlinear eigenvalue problems. v eigen By simple, e w mean that the alues v eigen cross the imaginary axis are no more degenerate than required y b the symmetry of the problem. N.Y. Acad. London. Dieudonné (UNSA) "Quasipatterns in Bénard - Rayleigh convection" Christian LICHT Laboratoire de Mécanique et Génie Civil (Montpellier)/Dept. Belg., Bull. Velarde M.G. Selecting this option will search the current publication in context. B. Turner, Trans. Schechter - a review paper in preparation for. It is concluded that there exists now a firm theoretical basis for the … 26 (1966), 753 and references quoted therein. pp 423-456 | Velarde, Physica 43 (1969), 263. T. Prigogine and G. Nicolis, in 3rd Int. Chance, A. Gosh, J. Higgins, and P. K. Maitra, Ann. By symmetry-breaking, e w mean that bifurcating solutions e v ha We investigate the possibility of an instability in purely dissipative systems involving chemical reactions and transport processes such as diffusion, but no hydrodynamic motion. Soc. Selecting this option will search all publications across the Scitation platform, Selecting this option will search all publications for the Publisher/Society in context, The Journal of the Acoustical Society of America, Faculté des Sciences, Université Libre de Bruxelles, Belgium. A. Schlitter, D. Lortz and F. Busse, J. Fluid Mech. Velarde and R.S. Phys. Article copyright remains as specified within the article. simple symmetry-breaking y instabilit at = 0, at h whic pt oin there will b e additional zero or pure imaginary alues. Belg., Bull. Soc. Roy. P.N, Snowdon and J.C.R. Not logged in Though the turbulence problem is far more complicated and may or may not, depending on your taste, bear similarity with the simple instability problems, we mention an approach from first principles: R. Balescu and A. Senatorsky, Ann.