書誌事項

Growth and form : nonlinear aspects

edited by M. Ben Amar, P. Pelcé and P. Tabeling

(NATO ASI series, Series B . Physics ; v. 276)

Plenum Press, c1991

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注記

"Proceedings of a NATO Advanced Study Institute on Nonlinear Phenomena Related to Growth and Form, held July 17-29, 1990, in Cargèse, France"--T.p. verso

"Published in cooperation with NATO Scientific Affairs Division."

Includes bibliographical references and index

内容説明・目次

内容説明

Growth and Fonn is the title of a famous book written by D' Arcy Thomson at the beginning of the century. It relates a large number of problems of shapes of bodies either in the physical world or the biological realm. Keywords in this field are shapes, spirals, growth law, gravity field, surface tension, scaling laws, diffusion and mechanical efficiency. This field is the source of a considerable amount of work, even today, and this conference was a place where some of this work was discussed. Except for a few contributions with biophysical inspiration, the main part of the conference was devoted to physical problems related to growth and fonn and especially to the problem of the motion of interfaces under various nonequilibrium conditions. Even with this restriction, this field is huge, from the more applied area (combustion, metallurgy) to the more fundamental (singularities in the complex plane, solvability conditions). One day, at dinner time, in a restaurant with a good view of the corsica sea, W. Kurz from Lausanne told us about teleferique cables and the kind of material which was necessary to build them. Considering the important abyss between this kind of concept and for instance, the huge fonnalism involving Green functions used to find operating points for dendritic growth, we immediatelty had the giggles for five minutes. This large domain was the occasion to confront many scientists from different areas (physicists, applied mathematicians, specialists of combustion, metallurgists and geologists).

目次

  • Viscous Fingering: Singularities in Complex Interface Dynamics
  • W. Dai, et al. Saffman Taylor Finger Problem with Thin Film Effects
  • S. Tanveer. Dendritic Growth: An Expreimental Assessment of Continuum Models of Dendritic Growth
  • J.P. Gollub. Dendritic Solidification of Rares Gases
  • J.H. Bilgram, et al. Directional Solidification of a Binary Mixture: A Numerical Analysis of Dendritic and Cellular Growth of a Pure Material Investigating the Transition from `Array' to `Isolated' Growth
  • J.D> Hunt. Cell Shapes and Wavelength Selection in Directional Solidification
  • P. Kurowski, et al. Flame Propagation: Sound and Flames
  • P. Clavin. Experimental Investigation of Acoustic Instabilities in Laminar Premixed Flames
  • G. Searby. Excitable Media: Vortex Interactions in the Complex Ginzburg-Landau Equation
  • C. Elphick, et al. Velocity Selection in Two-Dimensional Excitable Media: From Spiral Waves to Retracting Fingers
  • A. Karma. Growth and Statistical Physics: Diffusion Controlled Growth Phenomena: From Smooth Interfaces to Fractal Structures
  • A. Arneodo, et al. Competing Structures in DLA and Viscous Fingering
  • V. Hakim. Miscellaneous: Three Short Stories on Chiral Structures in Condensed Matter
  • Y. Pomeau. On the Growth and Form of Dislocation Patterns
  • D. Walgraef, et al. 30 additional articles. Index.

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