Renormalization Methods: Critical Phenomena, Chaos, Fractal Structures

Originally conceived some thirty years ago in the context of quantum electrodynamics, renormalization methods have progressively developed into an indispensable analytical tool used in widely varying domains of physics and applied mathematics, such asphase transitions and critical phenomenadynamical systems and chaosdeveloped turbulencefractal structures and complex systemspercolationpolymer physicsdiffusion in disordered mediameasure theory and stochastic processes.By explaining the fundamental principles of renormalization theory such as scale invariance and universality which lie behind all the technical variations, this book aims to guide the reader to a more unified understanding of today’s physics. The book is based on a very accessible main text, supplemented by several more specialized sections; it is intended for graduate students and for researchers who are seeking an introduction to a new area of electrodynamics or a general overview of the physical phenomena to which renormalization methods are applied.

Spis treści:
Principles and Physical Framework.
A Comparative Study of Two Typical Examples.
Mathematical Aspects.
Statistical Mechanics.
Dynamical Systems and Chaos.
Stochastic Diffusion.
Fractal Structures.
Appendices.
Bibliography.
Index.

Okładka tylna:
Originally conceived some thirty years ago in the context of quantum electrodynamics, renormalization methods have progressively developed into an indispensable analytical tool used in widely varying domains of physics and applied mathematics, such asphase transitions and critical phenomenadynamical systems and chaosdeveloped turbulencefractal structures and complex systemspercolationpolymer physicsdiffusion in disordered mediameasure theory and stochastic processes.By explaining the fundamental principles of renormalization theory such as scale invariance and universality which lie behind all the technical variations, this book aims to guide the reader to a more unified understanding of today’s physics. The book is based on a very accessible main text, supplemented by several more specialized sections; it is intended for graduate students and for researchers who are seeking an introduction to a new area of electrodynamics or a general overview of the physical phenomena to which renormalization methods are applied.