Non-Linear Dynamics Near and Far from Equilibrium
Published on 23. January 2011
Book
Paperback/Softback
313 pages
978-90-481-7357-0 (ISBN)
Description
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.
Reviews / Votes
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)More details
Edition
1st ed. Softcover of orig. ed. 2007
Language
English
Place of publication
Dordrecht
Netherlands
Target group
Professional and scholarly
Research. Beginning graduate students, senior undergraduates, researchers
Illustrations
74 s/w Abbildungen
74 black & white illustrations
Dimensions
Height: 240 mm
Width: 160 mm
Weight
506 gr
ISBN-13
978-90-481-7357-0 (9789048173570)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
J.K. Bhattacharjee | S. Bhattacharyya
Non-Linear Dynamics Near and Far from Equilibrium
E-Book
12/2007
1st Edition
Springer
€96.29
Available for download
J.K. Bhattacharjee | S. Bhattacharyya
Non-Linear Dynamics Near and Far from Equilibrium
Book
03/2007
Springer
€106.99
Shipment within 15-20 days
Content
1: Introduction 2: Models of Dynamics. 2.1. Introduction. 2.2. Langevin Picture. 2.3. Fokker-Planck Description. 2.4. Dynamics of a Magnet near its Critical Point. 2.5. Systems not in Equilibrium. 2.6. Models of Growth. 2.7. Turbulence. 3: The Renormalization Group. 3.1. Introduction. 3.2. Renormalization Group: General Framework. 3.3. Dynamics of Model A. 3.4. Inclusion of Reversible Terms. 3.5. Field Theoretic Form. 4: Mode Coupling Theories. 4.1. Introduction. 4.2. Self-Consistent Mode Coupling. 4.3. Spherical Limit. 5: Critical Dynamics in Fluids. 5.1. Introduction. 5.2. Equations for Transport Coefficients. 5.3. One-Loop Perturbation Theory. 5.4. Diagrammatic Perturbation Theory. 5.5. Self-Consistent Perturbation Theory. 5.6. Sound Propagation. 5.7. The Lambda Transition. 5.8. Generalized n-Vector Model. 6: Systems far from Equilibrium. 6.1. Introduction. 6.2. Ginzburg-Landau Model. 6.3. Phase Ordering Kinetics. 6.4. Topological Defects. 6.5. The Structure Factor. 6.6. Approximate Tehcniques. 6.7. Renormalization Group for Late Stage Behaviour. 7: Surface Growth. 7.1. Intorduction. 7.2. Edwards-Wilkinson (EW) Model. 7.3. Kardar-Parisi-Zhang (KPZ) Model. 7.4. KPZ Equation and the Renormalization Group. 7.5. KPZ Equation and Mode Coupling Theories. 7.6. Growth with Surface Diffusion. 7.7. Discrete Models. 7.8. Growth Models with Correlated Noise. 7.9. Growth Models with Non-Locality. 7.10. Roughening Transition. 7.11. Quenched Noise. 7.12. Coupled Growth Models. 8: Turbulence. 8.1. Description of the Turbulent State. 8.2. Kolmogorov Phenomenology. 8.3. The Correlation Function. 8.4. Randomly Stirred Model. 8.5. Advection of a Passive Scalar. 8.6. Intermittency Phenomenology. 8.7. Perturbation Theory. 8.8. Dynamical Systems and Turbulence. 9: Polymer Dynamics. 9.1. Introduction. Appendix A -- Functional Integration Appendix B -- Field Theoretic RG Subject Index