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On Growth and Form

Fractal and Non-Fractal Patterns in Physics

  • H. Eugene Stanley
  • Nicole Ostrowsky

Part of the NATO ASI Series book series (NSSE, volume 100)

Table of contents

  1. Front Matter
    Pages I-X
  2. “The Course”

    1. Front Matter
      Pages 1-2
    2. Hans J. Herrmann
      Pages 3-20
    3. Thomas A. Witten III
      Pages 54-68
    4. R. C. Ball
      Pages 69-78
    5. Dietrich Stauffer
      Pages 79-100
    6. François Leyvraz
      Pages 136-144
    7. Etienne Guyon
      Pages 163-173
    8. Jean-Pierre Boon, Alain Noullez
      Pages 174-184
  3. “The Seminars”

    1. Front Matter
      Pages 185-186
    2. David S. Cannell, Claude Aubert
      Pages 187-197
    3. Dale W. Schaefer, James E. Martin, Alan J. Hurd
      Pages 198-202
    4. G. Daccord, J. Nittmann, H. E. Stanley
      Pages 203-210
    5. Daniel Beysens, Coggio Houessou, Françoise Perrot
      Pages 211-217
    6. Max Kolb, Robert Botet, Rémi Jullien, Hans J. Herrmann
      Pages 222-226
    7. Mohamed Daoud
      Pages 227-230
    8. Fereydoon Family
      Pages 231-236
    9. Rashmi C. Desai, Alan R. Denton
      Pages 237-243
    10. David P. Landau
      Pages 244-248
    11. Janos Kertèsz, Jenö Szèp, Jòzsef Cserti
      Pages 249-253
    12. Jorge Willemsen
      Pages 254-259
    13. Sara A. Solla
      Pages 260-262
    14. Naeem Jan, Antonio Coniglio, Imtiaz Majid, H. Eugene Stanley
      Pages 263-264
    15. Luca Peliti
      Pages 265-272
    16. Stéphane Roux, Etienne Guyon
      Pages 273-277
    17. Pabitra N. Sen, James N. Roberts, Bertrand I. Halperin
      Pages 278-278
    18. Michael F. Shlesinger, Joseph Klafter
      Pages 279-283
    19. Deepak Dhar
      Pages 288-292
    20. Leonid A. Turkevich
      Pages 293-298
  4. Back Matter
    Pages 303-308

About this book

Introduction

We have shown that simple power-law dynamics is expected for flexible fractal objects. Although the predicted behavior is well established for linear polymers, the situationm is considerably more complex for colloidal aggregates. In the latter case, the observed K-dependence of (r) can be explained either in terms of non-asymptotic hydrodynamics or in terms of weak power-law polydispersity. In the case of powders (alumina, in particular) apparent fractal behavior seen in static scattering is not found in the dynamics. ID. W. Schaefer, J. E. Martin, P. Wiitzius, and D. S. Cannell, Phys. Rev. Lett. 52,2371 (1984). 2 J. E. Martin and D. W. Schaefer, Phys. Rev. Lett. 5:1,2457 (1984). 3 D. W. Schaefer and C. C. Han in Dynamic Light Scattering, R. Pecora ed, Plenum, NY, 1985) p. 181. 4 P. Sen, this book. S J. E. Martin and B. J. Ackerson, Phys. Rev. A :11, 1180 (1985). 6 J. E. Martin, to be published. 7 D. A. Weitz, J. S. Huang, M. Y. Lin and J. Sung, Phys. Rev. Lett. 53,1657 (1984) . 8 J. E. Martin, D. W. Schaefer and A. J. Hurd, to be published; D. W. Schaefer, K. D. Keefer, J. E. Martin, and A. J. Hurd, in Physics of Finely Divided Matter, M. Daoud, Ed., Springer Verlag, NY, 1985. 9 D. W. Schaefer and A. J. Hurd, to be published. lOJ. E. Martin, J. Appl. Cryst. (to be published).

Keywords

behavior cluster colloid development distribution dynamics experiment hydrodynamics living systems physics polymer rheology scattering simulation transport

Editors and affiliations

  • H. Eugene Stanley
    • 1
  • Nicole Ostrowsky
    • 2
  1. 1.Boston UniversityBostonUSA
  2. 2.University of NiceNiceFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-5165-5
  • Copyright Information Springer Science+Business Media B.V. 1986
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-89838-850-3
  • Online ISBN 978-94-009-5165-5
  • Series Print ISSN 0168-132X
  • Buy this book on publisher's site