Scale Invariance: From Phase Transitions to Turbulence
Gespeichert in:
Format: | Elektronisch E-Book |
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Sprache: | English |
Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2012
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Schlagworte: | |
Online-Zugang: | TUM01 UBT01 Volltext |
Beschreibung: | 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 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 |
Beschreibung: | 1 Online-Ressource |
ISBN: | 9783642151231 |
DOI: | 10.1007/978-3-642-15123-1 |
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spelling | Scale Invariance From Phase Transitions to Turbulence by Annick Lesne, Michel Lagües Berlin, Heidelberg Springer Berlin Heidelberg 2012 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier 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 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 Ingenieurwissenschaften Mathematische Physik Physics Mathematical physics Engineering Materials Condensed Matter Physics Mathematical Methods in Physics Complexity Structural Materials Strongly Correlated Systems, Superconductivity Single Molecule Studies, Molecular Motors Kritisches Phänomen (DE-588)4165788-3 gnd rswk-swf Selbstähnlichkeit (DE-588)4286650-9 gnd rswk-swf Kritisches Phänomen (DE-588)4165788-3 s Selbstähnlichkeit (DE-588)4286650-9 s 1\p DE-604 Lesne, Annick Sonstige oth Lagües, Michel Sonstige oth https://doi.org/10.1007/978-3-642-15123-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Scale Invariance From Phase Transitions to Turbulence Ingenieurwissenschaften Mathematische Physik Physics Mathematical physics Engineering Materials Condensed Matter Physics Mathematical Methods in Physics Complexity Structural Materials Strongly Correlated Systems, Superconductivity Single Molecule Studies, Molecular Motors Kritisches Phänomen (DE-588)4165788-3 gnd Selbstähnlichkeit (DE-588)4286650-9 gnd |
subject_GND | (DE-588)4165788-3 (DE-588)4286650-9 |
title | Scale Invariance From Phase Transitions to Turbulence |
title_auth | Scale Invariance From Phase Transitions to Turbulence |
title_exact_search | Scale Invariance From Phase Transitions to Turbulence |
title_full | Scale Invariance From Phase Transitions to Turbulence by Annick Lesne, Michel Lagües |
title_fullStr | Scale Invariance From Phase Transitions to Turbulence by Annick Lesne, Michel Lagües |
title_full_unstemmed | Scale Invariance From Phase Transitions to Turbulence by Annick Lesne, Michel Lagües |
title_short | Scale Invariance |
title_sort | scale invariance from phase transitions to turbulence |
title_sub | From Phase Transitions to Turbulence |
topic | Ingenieurwissenschaften Mathematische Physik Physics Mathematical physics Engineering Materials Condensed Matter Physics Mathematical Methods in Physics Complexity Structural Materials Strongly Correlated Systems, Superconductivity Single Molecule Studies, Molecular Motors Kritisches Phänomen (DE-588)4165788-3 gnd Selbstähnlichkeit (DE-588)4286650-9 gnd |
topic_facet | Ingenieurwissenschaften Mathematische Physik Physics Mathematical physics Engineering Materials Condensed Matter Physics Mathematical Methods in Physics Complexity Structural Materials Strongly Correlated Systems, Superconductivity Single Molecule Studies, Molecular Motors Kritisches Phänomen Selbstähnlichkeit |
url | https://doi.org/10.1007/978-3-642-15123-1 |
work_keys_str_mv | AT lesneannick scaleinvariancefromphasetransitionstoturbulence AT laguesmichel scaleinvariancefromphasetransitionstoturbulence |