Ben Amar / Pelcé / Tabeling Growth and Form

Nonlinear Aspects
Erscheinungsjahr 2012
ISBN: 978-1-4684-1357-1
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 276, 512 Seiten, eBook

Reihe: NATO Science Series: B

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).

Zielgruppe

Research

Autoren/Hrsg.

Ben Amar, M.

Pelcé, P.

Tabeling, P.

Inhaltsverzeichnis

Viscous Fingering.- Singularities in complex interface dynamics.- Saffman Taylor finger problem with thin film effects.- Growth of non-reflection symmetric patterns.- Dendritic Growth.- An experimental assessment of continuum models of dendritic growth.- Dendritic solidification of rares gases.- Light scattering experiments during the freezing and melting transition.- Sidebranching of xenon dendrites.- Experimental determination of rapid dendrite growth velocities in largely undercooled metals.- Dendrites growing in the presence of an external flow: The cases of PVA and NH4Br.- Dendritic growth of NH4C1: Nucleation, boundary conditions, periodic and aperiodic morphologies.- Anisotropic ordered phases in Langmuir monolayers.- 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.- Cell shapes and wavelength selection in directional solidification.- Deep cells in directional solidification.- Cellular profiles in directional solidification: is the Saffman-Taylor branch of solutions the physically relevant one?.- Pattern formation in directional solidification.- Directional growth of a faceted smectic B plastic crystal.- Facetting of weakly anisotropic materials.- Directional growth of lamellar eutectics.- Array disorder, pattern selection and local dendritic transition in cellular directional solidification.- Flame Propagation.- Sound and flames.- Experimental investigation of acoustic instabilities of premixed flames.- Sound generated by cellular flames.- Simulation of flame fronts by sources of fluid volume.- Excitable Media.- Vortex interactions in the complex Ginzburg-Landau equation.- Velocity selection in two-dimensional excitablemedia: From spiral waves to retracting fingers.- Steadily rotating spirals in excitable media.- Growth and Statistical Physics.- Diffusion controlled growth phenomena: From smooth interfaces to fractal structures.- Competing structures in DLA and viscous fingering.- Experimental evidence for spatio-temporal chaos in diffusion-limited growth phenomena.- Why nature makes fractals.- Crack formation: crossovers between different growth regimes and critical behavior.- Theoretical models for crystal growth from atom beams.- Scaling and a possible phase transition in models for thin film growth.- Inhomogeneous growth of rough surfaces.- Crossover phenomena in kinetic roughening.- Miscellaneous Subjects.- Three short stories on chiral structures in condensed matter.- On the growth and form of dislocation patterns.- Rayleigh-Taylor instability of a thin layer.- Stable laws in breath figures on a one-dimensional substrate.- Ordering process in the diffusively coupled logistic lattice.- Fractional statistic and planar brownian winding.- Crystallization and convection in cooling magma chambers.- Nonlinear systems far from equilibrium and missing route to “Living State”.- Participants.