Scale Invariance and Beyond
Les Houches Workshop, March 10–14, 1997
Buch in deiner Nähe kaufen
Beschreibung
This book is an excellent introduction to the concept of scale invariance, which is a growing field of research with wide applications. It describes where and how symmetry under scale transformation (and its various forms of partial breakdown) can be used to analyze solutions of a problem without the need to explicitly solve it. The first part gives descriptions of tools and concepts; the second is devoted to recent attempts to go beyond the invariance or symmetry breaking, to discuss causes and consequences, and to extract useful information about the system. Examples are carefully worked out in fields as diverse as condensed matter physics, population dynamics, earthquake physics, turbulence, cosmology and finance.
This book is an excellent introduction to the concept of scale invariance, which is a growing field of research with wide applications. It describes where and how symmetry under scale transformation (and its various forms of partial breakdown) can be used to analyze solutions of a problem without the need to explicitly solve it. The first part gives descriptions of tools and concepts; the second is devoted to recent attempts to go beyond the invariance or symmetry breaking, to discuss causes and consequences, and to extract useful information about the system. Examples are carefully worked out in fields as diverse as condensed matter physics, population dynamics, earthquake physics, turbulence, cosmology and finance.
This is a book on scale invariance, a field that has become very fashionable since the work of Mandelbrot on factals and the success of the renormalization group of Kadanoff-Wilson.
Autor*in
B. Dubrulle
Themen in »Scale Invariance and Beyond«
condensed matter condensed matter physics critical point dimensional analysis exponents fluctuations fractal intermittency phase transition physics power law renormalization group scale covariance singularity turbulence