Scale Invariance From Phase Transitions to Turbulence /

• Main Authors: Lesne, Annick (Author), Lagües, Michel (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012.
• Subjects: Physics.; Condensed matter.; Superconductivity.; Superconductors.; Biophysics.; Complexity, Computational.; Structural materials.; Condensed Matter Physics.; Mathematical Methods in Physics.; Complexity.; Structural Materials.; Strongly Correlated Systems, Superconductivity.; Single Molecule Studies, Molecular Motors.

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...

Table of Contents:

• 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.