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Nonlinear phenomena in fluids, solids, and other complex systems : proceedings of the Second Latin American Workshop on Nonlinear Phenomena, Santiago, Chile, September 6-14, 1990 /

This book contains short courses in current topics in nonlinear physics given by distinguished professionals in their fields. These include: nonlinear fluid dynamics, transition to turbulence, quantum hall effect, cellular automata and neural networks, phase transitions. These courses are up to date...

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Bibliographic Details
Corporate Authors: Latin American Workshop on Nonlinear Phenomena Santiago, Chile); Elsevier Science & Technology.; Fundacio n Andes (Chile)
Group Author: Cordero, Patricio.; Benguria, Rafael D.; Nachtergaele, Bruno.
Published: North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
Publisher Address: Amsterdam ; New York : New York, N.Y. :
Publication Dates: 1991.
Literature type: eBook
Language: English
Series: North-Holland delta series
Subjects:
Nonlinear theories > Congresses.
Fluids > Mathematics > Congresses.
Solids > Mathematics > Congresses.
The orie non-line aire.
automate cellulaire.
Re seau neuronal.
Physique statistique.
The ories non line aires > Congre s.
Fluides > Mathe matiques > Congre s.
Solides > Mathe matiques > Congre s.
SCIENCE > General. > General.
SCIENCE > Solids. > Solids.
Fluids > Mathematics.
Nonlinear theories.
Solids > Mathematics.
The ories non-line aires.
Nichtlineares Pha nomen.
Kongress.
Physics > Nonlinear analysis
Electronic books.
Conference papers and proceedings.
Online Access: http://www.sciencedirect.com/science/book/9780444887917
Summary: This book contains short courses in current topics in nonlinear physics given by distinguished professionals in their fields. These include: nonlinear fluid dynamics, transition to turbulence, quantum hall effect, cellular automata and neural networks, phase transitions. These courses are up to date and are aimed at a wide audience, in particular to graduate students and researchers in the field of nonlinear physics.
Carrier Form: 1 online resource (xii, 482 pages) : illustrations.
Bibliography: Includes bibliographical references and index.
ISBN: 9780444598790
0444598790
Index Number: QC20
CLC: O411.1-53
Contents: Front Cover; Nonlinear Phenomena in Fluids, Solids and other Complex Systems; Copyright Page; Preface; Committees; Table of Contents; Part 1: Fluids; Chapter 1. Thermal Turbulence; 1. Introduction; 2. The Mathematical Problem; 3. Scaling; 4. Analysis of the He Gas Experiments; 5. Visualization of the Water Experiment; 6. The Visualization; Acknowledgements; References; Chapter 2. Scaling and Multiscaling (Fractals and Multifractals); 1. Introduction: Simple Scaling; 2. Some Theory; 3. Specific Examples; Acknowledgement; Chapter 3. Weakly Nonlinear Interactions in Fluid Dynamics.
1 Introduction2 Generation of Sound by Vorticity; 3 Scattering of Sound by Vorticity; 4 Effects of Compressibility on Vortex Dynamics; 5 Interaction with Temperature Inhomogeneities; Acknowledgments; References; Chapter 4. Interface Instabilities in Liquid Crystals; 1. The Mullins-Sekerka Instability; 2. The Nematic-Isotropic Interface; Acknowledgments; References; Chapter 5. Critical Perturbation of Xe Dynamics at High Pressure; 1. Introduction; 2 . Hydrodynamic Theory And Data for Numerical Simulations; 3 . Experimental Setup; 4 . Results And Discussion.; References.
Chapter 6. Almost Integrable Magnetic Fields in Tokamaks*1. Introduction; 2. MHD Equlibrium; 3. Resonant Helical Perturbations; 4. Almost Integrable Fields; 5. Onset Of Chaos; 6. Conclusion; References; Part 2: CELLULAR AUTOMATA AND NEURAL NETWORKS; Chapter 7. On Studying the Brain as an Adaptive Disordered System; 1. The Brain As A Disordered System. The Use of Statistical Methods; 2. A Simple Model; Acknowledgments; References; Chapter 8. RS Model for Neural Networks; 1. Introduction; 2. The Hopfield Model; 3. The Rs-Model; 4. Mean-Field Calculation; 5. Conclusion; References.
Chapter 9. The Efficiency of High Order Neural Networks1. Introduction; 2. Networks with Energy Function of Order n; 3. Numerical Calculations; 4. Conclusion; Acknowledgments; References; Chapter 10. Study of a Slowly Cooled SK Spin Glass; 1. Introduction; 2. Dynamic Mean Field Theory And Adiabatic Limit; 3. Adiabatic Cooling In Zero Field And Finite External Fields; 4. Parisi-Sompolinsky Solution; 5. Discussion; References; Chapter 11. Zeros of the Partition Function in the REM Model; 1. Introduction; 2. Definition of the Model; 3 .Gaussian (REM) Limit Of Drem; 4. Numerical Method.
4 .Numerical Results5. Conclusion; References; Chapter 12. One-Dimensional Sand Piles, Cellular Automata and Related Models; 1. Introduction; 2. Sand -- Pile Automata; 3. The ICE-PILE Model; 3. The Reflection Automata; 4. Conclusion; Acknowledgments; References; Chapter 13. Fracture Propagation: From Time to Ensemble Averages and Back Again; 1. Introduction; 2. Time Dependent Approach; 3. Ensemble Approach; 4. Discussion; Acknowledgments; References; Chapter 14. Numerical Study of a Generalized Domany-Kinzel Probabilistic One-dimensional Cellular Automaton; 1. Introduction.

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