Skip to main content
SpringerLink
Log in

Velocity Selection for Needle Crystals in the 2-D One-Sided Model

  • Conference paper
Propagation in Systems Far from Equilibrium

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 41))

  • 248 Accesses

Abstract

When a solid grows at the expense of an undercooled melt the liquid-solid interface develops a dendritic shape, characterized by the propagation of a needle-shaped tip advancing at a constant velocity V and the persistent emission of side branches.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. M.E. Glicksman, R.J. Shaefer and J.D. Ayers: Metall. Trans. A7, 1747 (1976).

    Google Scholar 

  2. S.C. Huang and M.E. Glicksman: Acta Metall. 29, 701 and 717 (1981).

    Article  Google Scholar 

  3. G.P. Ivantsov: Dokl. Akad. Nauk SSSR 58, 567 (1947).

    Google Scholar 

  4. R. Brower, D. Kessler, J. Koplik and H. Levine: Phys. Rev. Lett. 51, 1111 (1983); Phys. Rev. A29, 1335 (1984).

    Article  ADS  Google Scholar 

  5. E. Ben Jacob, N. Goldenfeld, J.S. Langer and G. Shön: Phys. Rev. Lett. 51, 1930 (1983); Phys. Rev. A29 330 (1984).

    Article  ADS  Google Scholar 

  6. Ben Jacob, N. Goldenfeld, R.G. Koltiar and J.S. Langer: Phys. Rev. Lett. 53, 2110 (1984).

    Article  ADS  Google Scholar 

  7. J.S. Langer: Phys. Rev. A33, (1986), 435

    ADS  Google Scholar 

  8. B. Caroli, C. Caroli, B. Roulet and J.S. Langer: Phys. Rev. A33. 442 (1986).

    ADS  MathSciNet  Google Scholar 

  9. M. Ben Amar and Y. Pomeau: Europhys. Lett. 2, 307 (1986).

    Article  ADS  Google Scholar 

  10. A. Barbieri, D.C. Hong and J.S. Langer: Phys. Rev. A35. 1802 (1987).

    ADS  Google Scholar 

  11. D. Kessler and H. Levine: Phys. Rev. Lett. 57, 3069 (1986).

    Article  ADS  Google Scholar 

  12. D. Bensimon, P. Pelcé, and B.I. Shraiman: Dynamics of curved fronts and pattern selection, preprint (1987).

    Google Scholar 

  13. H. Honjo, S. Ohta and Y. Sawada: Phys. Rev. Lett. 55, 841 (5).

    Google Scholar 

  14. M.D. Kruskal and H. Segur: Asymptotics beyond all orders in a model of dendritic crystals, preprint (1985), A.R.A.P. Tech. Memo, 85–25.

    Google Scholar 

  15. A. Karma: Ph. D. Thesis, University of California, Santa Barbara (1985), and also A. Karma and M. Mardes (unpublished).

    Google Scholar 

  16. J.S. Langer and H. Müller-Krumbhaar: Acta Metall. 26, 1681, 1689, 1697 (1978).

    Article  Google Scholar 

  17. P. Pelcé and Y. Pomeau: Studies in Appl. Math. 74, 83 (1986).

    Google Scholar 

  18. J.M. Vanden Broeck: Phys. Fluids 26 2033 (1983).

    Article  ADS  MathSciNet  Google Scholar 

  19. M. Ben Amar and B. Moussalam, preprint.

    Google Scholar 

  20. C. Misbah (unpublished).

    Google Scholar 

  21. V.L. Pokrovskii and I.M. Khalatnikov: Soviet Phys. JETP 13, 1207 (1961).

    Google Scholar 

  22. B Caroli, C. Caroli, C. Misbah and B. Roulet: J. Physique 48, 547 (1987).

    Article  Google Scholar 

  23. C. Misbah: to be published in J. Physique (August 1987).

    Google Scholar 

  24. Y. Saito, G. Goldbeck-Wood and H. Müller-Krumbhaar, Phys. Rev. Lett. 58, 1541 (1987).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Groupe de Physique des Solides de l’E.N.S., associé au C.N.R.S., Université Paris, 2 Place Jussieu, F-75251, Paris Cedex 05, France

    C. Misbah

Authors
  1. C. Misbah
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Laboratoire d’Hydrodynamique et Mécanique Physique, E.S.P.C.I. Paris, 10, rue Vauquelin, F-75231, Paris Cedex 05, France

    José E. Wesfreid

  2. Fachbereich 7 (Physik), Universität Essen, D-4300, Essen 1, Fed. Rep. of Germany

    Helmut R. Brand

  3. IRF-DPh-G/PSRM, CEN-Saclay, F-91191, Gif-sur-Yvette, France

    Paul Manneville

  4. Lab. de Recherches en Combustion, Université de Provence, Centre St. Jérôme, F-13397, Marseille Cedex 13, France

    Gilbert Albinet

  5. Centre de Physique Théorique, F-74310, Les Houches, France

    Nino Boccara

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Misbah, C. (1988). Velocity Selection for Needle Crystals in the 2-D One-Sided Model. In: Wesfreid, J.E., Brand, H.R., Manneville, P., Albinet, G., Boccara, N. (eds) Propagation in Systems Far from Equilibrium. Springer Series in Synergetics, vol 41. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-73861-6_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-73861-6_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-73863-0

  • Online ISBN: 978-3-642-73861-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation