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Materials | Scale Invariance

Scale Invariance

From Phase Transitions to Turbulence

LESNE, Annick, Laguës, Michel

Originally published by Editions Belin, Paris, 2008

2012, XVI, 400 p.

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  • 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
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.

Content Level » Graduate

Keywords » 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

Related subjects » Biophysics & Biological Physics - Complexity - Materials - Structural Materials - Theoretical, Mathematical & Computational Physics

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