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© 2007

Non-Linear Dynamics Near and Far from Equilibrium

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Table of contents

  1. Front Matter
    Pages i-vi
  2. Pages 1-23
  3. Pages 25-55
  4. Pages 83-102
  5. Pages 185-228
  6. Pages 229-274
  7. Pages 275-286
  8. Back Matter
    Pages 301-304

About this book

Introduction

This text gives a detailed account of various techniques that are used in the study of dynamics of continuous systems, near as well as far from equilibrium. The analytic methods covered include diagrammatic perturbation theory, various forms of the renormalization group and self-consistent mode coupling. Dynamic critical phenomena near a second order phase transition, phase ordering dynamics, dynamics of surface growth and turbulence form the backbone of the book.
Applications to a wide variety of systems (e.g. magnets, ordinary fluids, superfluids) are provided covering diverse transport properties (diffusion, sound).

It is unique in that it gives a detailed description of perturbation theory for nonlinear continuous systems, it focuses on techniques which can be applied to problems ranging from near equilibrium dynamics to fully developed turbulence, and it provides a discussion of physical properties (e.g. critical ultrasonics) that are generally not covered in text books.

Audience:
Beginning graduate students, senior undergraduates, researchers

Keywords

Renormalization group critical phenomena growth models perturbation theory phase ordering phase transitions turbulence

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Reviews

From the reviews:

"The text pays particular attention to the universal behavior of critical phenomena and focuses on the renormalization group methods in the study of the dynamics of nonlinear continuous systems near and far from equilibrium. … The book should be useful to physics graduates and research workers who wish to find a comprehensive introduction to applied statistical mechanics, with detailed analytic results when available." (Piotr Garbaczewski, Zentralblatt MATH, Vol. 1114 (16), 2007)

"This book gives an excellent introduction to the field-theoretic approach to equilibrium and non-equilibrium phenomena. … The book will certainly be very interesting and helpful for young researchers and graduate students. More advanced readers may find the book useful as an updated handbook that brings further insight into detailed renormalization group calculations with a variety of applications to equilibrium and non-equilibrium condensed matter problems." (Nick Laskin, Mathematical Reviews, Issue 2008 b)