Scale Invariance

From Phase Transitions to Turbulence

Authors: LESNE, Annick, Laguës, Michel

  • Offers a wide pedagogical overview of scaling concepts, techniques and applications
  • Gathers information from fields which are not presented together in other textbooks
  • Foreword by Nobel laureate Pierre-Gilles de Gennes
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  • ISBN 978-3-642-44896-6
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About this Textbook

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.

Reviews

From the reviews:

“The book begins with an introduction to scale invariance in the context of critical behaviors. … In addition to the high quality of its numerous diagrams and plots and the admirable readability of its equations and fonts, Scale Invariance is well written and surprisingly engaging. … The authors also do an excellent job of including the history of the topics they present; they make wise decisions about when to include significant historical details … . The diligent reader will benefit from Scale Invariance … .” (John R. Saylor, Physics Today, November, 2012)

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Table of contents (12 chapters)

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-642-15123-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-3-642-15122-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.00
price for USA
  • ISBN 978-3-642-44896-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Scale Invariance
Book Subtitle
From Phase Transitions to Turbulence
Authors
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-15123-1
DOI
10.1007/978-3-642-15123-1
Hardcover ISBN
978-3-642-15122-4
Softcover ISBN
978-3-642-44896-6
Edition Number
1
Number of Pages
XVI, 400
Additional Information
Originally published by Editions Belin, Paris, 2008
Topics