Scale Invariance
From Phase Transitions to Turbulence
Buch in deiner Nähe kaufen
Beschreibung
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.
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.
Wide pedagogical overview of scaling concepts, techniques and applications Gathers fields which are not present together in other textbooks Foreword by noble laureate Pierre-Gilles de Gennes Includes supplementary material: sn.pub/extras
Autor*in
Annick LESNE
Themen in »Scale Invariance«
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 complexity
Stimmen zu »Scale Invariance«
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)()