Scale Invariance

From Phase Transitions to Turbulence

  • Annick Lesne
  • Michel Lagües

Table of contents

  1. Front Matter
    Pages i-xv
  2. Annick Lesne, Michel Laguës
    Pages 1-41
  3. Annick Lesne, Michel Laguës
    Pages 43-53
  4. Annick Lesne, Michel Laguës
    Pages 55-107
  5. Annick Lesne, Michel Laguës
    Pages 109-165
  6. Annick Lesne, Michel Laguës
    Pages 167-195
  7. Annick Lesne, Michel Laguës
    Pages 197-230
  8. Annick Lesne, Michel Laguës
    Pages 231-257
  9. Annick Lesne, Michel Laguës
    Pages 259-291
  10. Annick Lesne, Michel Laguës
    Pages 293-344
  11. Annick Lesne, Michel Laguës
    Pages 345-360
  12. Annick Lesne, Michel Laguës
    Pages 361-384
  13. Annick Lesne, Michel Laguës
    Pages 385-390
  14. Back Matter
    Pages 391-397

About this book


During a century, from the Van der Waals mean field description (1874) of gases to the introduction of renormalization group (RG techniques 1970), thermodynamics and statistical physics were just unable to account for the incredible universality which was observed in numerous critical phenomena. The great success of RG techniques is not only to solve perfectly this challenge of critical behaviour in thermal transitions but to introduce extremely useful tools in a wide field of daily situations where a system exhibits scale invariance. The introduction of scaling, scale invariance and universality concepts has been a significant turn in modern physics and more generally in natural sciences. Since then, a new "physics of scaling laws and critical exponents", rooted in scaling approaches, allows quantitative descriptions of numerous phenomena, ranging from phase transitions to earthquakes, polymer conformations, heartbeat rhythm, diffusion, interface growth and roughening, DNA sequence, dynamical systems, chaos and turbulence. The chapters are jointly written by an experimentalist and a theorist. This book aims at a pedagogical overview, offering to the students and researchers a thorough conceptual background and a simple account of a wide range of applications. It presents a complete tour of both the formal advances and experimental results associated with the notion of scaling, in physics, chemistry and biology.


Critical phenomena Critical phenomena in materials growth Critical phenomena in natural sciences Fractal geometry Growth mechanisms of materials Phase transitions Scale invariance in biology Scaling concepts in material physics Scaling concepts in pyhsics/biology Self-organized critical phenomena Universality and scale invariance

Authors and affiliations

  • Annick Lesne
    • 1
  • Michel Lagües
    • 2
  1. 1.Labo. Physique Théorique de la, Matière Condensée (LPTMC)Université Paris VIParis CX 05France
  2. 2.ESPCIParisFrance

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-642-15122-4
  • Online ISBN 978-3-642-15123-1
  • Buy this book on publisher's site