Nonlinear Coherent Structures in Physics and Biology

✍ Scribed by J. C. Eilbeck, A. C. Scott (auth.), K. H. Spatschek, F. G. Mertens (eds.)

• Publisher: Springer US
• Year: 1994
• Tongue: English
• Leaves: 476
• Series: NATO ASI Series 329
• Edition: 1
• Category: Library

✦ Synopsis

This volume contains the Proceedings of the NATO Advanced Research Workshop (ARW) and Emil-Warburg-Symposium (EWS) "Nonlinear Coherent Structures in Phy­ sics and Biology" held at the University of Bayreuth from June 1 -4, 1993. Director of the ARW was K. H. Spatschek, while F.G. Mertens acted as the co-director, host, and organizer of the EWS. The other members of the scientific organizing committee were A.R. Bishop (Los Alamos), J.C. Eilbeck (Edinburgh), and M. Remoissenet (Dijon). This was the eighth meeting in a series of interdisciplinary workshops founded by our French colleagues who had organized all the previous workshops, e.g. 1989 in Montpel­ lier and 1991 in Dijon. We were asked to organize the meeting this time in Germany. Of course, we wanted to keep the character defined by the previous meetings, which were always characterized by an open and friendly atmosphere, being not too large in quantity, but high in quality. This time altogether 103 participants attended the workshop. During the past years most of the participants met several times and discussed problems connected with the generation of nonlinear coherent structures in physics and biology.

✦ Table of Contents

Front Matter....Pages i-xiv
Quantum Lattices....Pages 1-14
Recent Developments in the Quantum Nonlinear Dimer: Hopf Bifurcations, Time Evolution, and Thermal Stability....Pages 15-18
Quantum Correlations of Toda Lattice....Pages 19-28
Energy Localization in Nonlinear Lattices....Pages 29-38
Anharmonic Localized Modes in Physical and Biological Systems....Pages 39-50
Soliton Scattering by an Impurity on a Nonlinear Lattice....Pages 51-57
Localized Excitations in Discrete Hamiltonian Systems....Pages 59-62
Properties of Localized Excitations in 1D Discrete Systems....Pages 63-66
Bound States in the Gaps of Periodic Lattices....Pages 67-71
Statistical Properties of Lattice Solitons....Pages 73-83
Transport Properties in a Two-Coupled Zig-Zag Atomic Chain Model Including Dipole-Dipole Interactions....Pages 85-89
Bragge Solitons in 1-D Diatomic Chain with Nonlinear Interatomic Interaction and Nonlinear External Field....Pages 91-94
Chains of Hydrogen-Bonded Molecules: Structural Data and Localized Modes....Pages 95-100
SCPA Study of Peierls Barrier for Ionic Defects in a Hydrogen-Bonded Chain....Pages 101-104
Narrow Kinks in Nonlinear Lattices: Application to the Proton Transport in Hydrogen-Bonded Systems....Pages 105-114
Bjerrum Defects as Quantum Nonlinear Excitations of Hydrogen-Bonded Systems....Pages 115-118
Kinklike Excitations as an Energy Transfer Mechanism in Microtubles....Pages 119-122
Analysis of the Stability of Resonances in a Periodically Driven Josephson Junction....Pages 123-126
Soliton Density Waves in Josephson Junctions....Pages 127-130
The Inverse AC Josephson Effect in Small and Large Junctions....Pages 131-138
The Lagrangian and Hamiltonian Formalism for Josephson Media....Pages 139-144
Envelope and Hole Solitons in an Experimental Transmission Line....Pages 145-148
Soliton Pairing and Magnon Bound States in DSG Spin Chains: NMR and ESR Experiments in TMMC and TMNC....Pages 149-152
Non-Linear Excitations in Haldane Spin Chains....Pages 153-164
A Non-Linear Field Analysis of the Haldane Gap Problem for Quantum Spin Chains....Pages 165-176
Mass and Momentum for Vortices in Two-Dimensional Easy-Plane Magnets....Pages 177-186
Dynamics of Vortex Ensemble in 2D Easy-Plane Antiferromagnet....Pages 187-190
Cyclotron-Like Oscillations and Boundary Effects in the 2-Vortex Dynamics of Easy-Plane Magnets....Pages 191-197
Collective Variable Approach for a Magnetic N-Vortex System....Pages 199-206
Polaron Tunneling in High-Temperature Superconductors....Pages 207-213
Application of Composite-Fermion Theory to the Strongly Correlated Hubbard Model: Exact Ground-State Energy....Pages 215-218
The Strong-Coupling Hubbard Model on a Triangular Lattice....Pages 219-223
Formation of Soliton Band in One-Dimensional Peierls-Hubbard Model....Pages 225-228
A Variational Slave Boson Approach to the Holstein-Hubbard Model....Pages 229-232
The Phase Diagram of the 2D Holstein- t - J Model....Pages 233-236
Compaction - A Soliton with Compact Support....Pages 237-246
On Compact and Non-Compact Integrable Systems....Pages 247-254
Compactons in Discrete Lattices....Pages 255-258
Positons: A New Concept in the Theory of Nonlinear Waves....Pages 259-262
Positons as Singular Wigner — von Neumann Potentials for Dirac Equations....Pages 263-266
Positon Solutions of the Sinh-Gordon Equation....Pages 267-270
New Solutions of the Classical String Equation in de Sitter Space....Pages 271-274
Strongly Nonlinear Elastic Surface Waves in Solids....Pages 275-278
Nonlinear Acoustic Waves in a Slender Wedge....Pages 279-282
General Scattering in (2+1) Dimensional Models....Pages 283-286
Numerical Simulations and Parallel Implementation of Some Nonlinear Schrödinger Systems....Pages 287-298
Exact Solutions for Some Coupled Nonlinear Schrödinger Equations....Pages 299-302
Integrable Boundary Value Problems in Resonant Wave-Coupling Processes....Pages 303-312
The Gauged Nonlinear Schrödinger Equation on the Plane: A New Model....Pages 313-316
A Perturbation Theory for Sine-Gordon Solitons Independent of Inverse Scattering Methods....Pages 317-320
Global Attractors and Basic Turbulence....Pages 321-334
Chaos and Self-Organization in Optical Solitons in Fibers....Pages 335-340
Soliton Systems in the Presence of Amplification, Irregularities, and Damping....Pages 341-356
Hopf Bifurcation in CW - Pumped Fiber Resonators: Generation of Stimulated Brillouin Solitons....Pages 357-363
Vibration Modes of a Vector Soliton in a Nonlinear Optical Fiber....Pages 365-368
Dressed Solitons and Soliton Chaos....Pages 369-372
Radiationless Motion of One-Dimensional Solitons in Dispersive Medium....Pages 373-376
Removal of Singularities in Collective Coordinates for Klein-Gordon Models....Pages 377-380
Dynamics of Parametrically Driven Sine-Gordon Breathers....Pages 381-384
Exact Results in Wave Collapse Theory....Pages 385-388
Investigation of the Dynamics of an Overloaded Heating System....Pages 389-392
Diffusive Instability in a Bénard System at the Critical Point for the Onset of Convection....Pages 393-396
Nonlinear Evolution of the Skewed Varicose Instability in Thermal Convection....Pages 397-400
Time Dependent Convection Induced by Centrifugal Buoyancy in Low Prandtl Number Fluids....Pages 401-404
Higher Order Bifurcations in Fluid Systems and Coherent Structures in Turbulence....Pages 405-416
Wavy Rolls and Their Instabilities in Extended Fluid Layers....Pages 417-422
Nonlinear Oscillatory Structure in a Heliotron Plasma....Pages 423-430
Pattern Formation in a Two-Dimensional Lattice Model for Ferroelastic Transformations....Pages 431-436
Nonlinear Dynamics and Pattern Formation in Elastic Solids....Pages 437-448
Exotic Planforms in Non-Equilibrium Patterns....Pages 449-452
Defects and Spiral Waves in a Two-Dimensional Sine-Gordon System....Pages 453-462
Benjamin-Feir Type Instability of Polarized Electromagnetic Waves in a Ferromagnet....Pages 463-466
Back Matter....Pages 467-469

✦ Subjects

Biophysics and Biological Physics; Solid State Physics; Spectroscopy and Microscopy; Condensed Matter Physics; Crystallography; Theoretical, Mathematical and Computational Physics