Scale invariance : from phase transitions to turbulence

著者

書誌事項

Scale invariance : from phase transitions to turbulence

Annick Lesne, Michel Laguës

Springer, c2012

タイトル別名

Invariances d'echelle : des changements d'états à la turbulence

大学図書館所蔵 件 / 全3件

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

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.

目次

Foreword by Pierre-Gilles de Gennes.- Introduction.- Change of State in Matter.- Fractal Geometry.- Universality as a Consequence of Scale Invariance.- Diffusion.- The Percolation Transition.- Scaling Concepts in Polymer Physics.- Superconducting Cuprates.- Growth Mechanisms and Interface Roughness.- Dynamical Systems, Chaos and Turbulence.- Self-Organized Critical Phenomena.- Scale Invariance in Biology.- Power and Limits of Scaling Approaches

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