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The Sixth Annual Conference of the Center for Nonlinear Studies at the Los Alamos National Laboratory was held May 5-9, 1986, on the topic "Nonlinearity in Condensed Matter: Lessons from the Past and Prospects for the Future. " As conference organizers, we felt that the study of non­ linear phenomena in condensed matter had matured to the point where it made sense to take stock of the numerous lessons to be learned from a variety of contexts where nonlinearity plays a fundamental role and to evaluate the prospects for the growth of this general discipline. The successful 1978 Oxford Symposium on nonlinear (soliton) struc­ ture and dynamics in condensed matter (Springer Ser. Solid-State Sci. , Vol. 8) was held at a time when the ubiquity of solitons was just begin­ ning to be appreciated by the condensed matter community; in subsequent years the soliton paradigm has provided a rather useful framework for in­ vestigating a large number of phenomena, particularly in low-dimensional systems. Nevertheless, we felt that the importance of nonlinearity in wider arenas than "solitonics" merited a significant expansion in the scope of the conference over that of the 1978 symposium. Indeed, many of the lessons are quite general and their potential for cross-fertilization of otherwise poorly connected disciplines was certainly one of the prime motivations for this conference. Thus, while these proceedings contain many contribu­ tions pertaining to soliton behavior in different contexts, the reader will find much more as well, particularly in the later chapters.








Content:
Front Matter....Pages I-X
Front Matter....Pages 1-1
Nonlinearity: Historical and Technological View....Pages 2-22
Front Matter....Pages 23-23
Soliton Dynamics: Experiments on Magnetic Chains....Pages 24-36
Soliton Dynamics in One-Dimensional Antiferromagnets....Pages 37-41
One-Dimensional Easy-Plane Magnets: Classical Sine-Gordon Theory or a Quantum Model?....Pages 42-52
Towards a Quantitative Theory of Solitons in One-Dimensional Magnets: Quantum Effects, Out-of-Plane Fluctuations and the Specific Heat....Pages 53-58
Quantum Corrections to the Specific Heat of the Easy-Plane Ferromagnetic Chain....Pages 59-68
Monte Carlo Calculations of Quantum Systems....Pages 69-80
Front Matter....Pages 81-81
Photogeneration of Nonlinear Excitations in Semiconducting Polymers: Fast Response Nonlinear Optical Phenomena....Pages 82-93
When Kinks are not Elementary Excitations....Pages 94-105
Phonons and Soliton Diffusion in Polyacetylene....Pages 106-110
Ground State Properties of Polyacetylene with Off-Diagonal Random Disorder....Pages 111-115
Front Matter....Pages 117-117
Neutron Scattering Studies of Non-Linear Systems....Pages 118-129
Novel Experimental Techniques and Realizations of Quasi-Periodicity....Pages 130-141
Heavy-Electron Materials....Pages 142-150
Magnetic Resonance as a Probe of Nonlinearity in Condensed Matter Physics....Pages 151-158
High-Resolution He Beam Scattering as a Tool for the Investigation of the Structural and Dynamical Properties of Surface Soliton Dislocations....Pages 159-165
Front Matter....Pages 167-167
Quantum Mechanics at the Macroscopic Level....Pages 168-171
Soluble Models....Pages 172-182
Variational Schemes for Many-Electron Systems....Pages 183-193
Quantum Monte Carlo....Pages 194-202
Front Matter....Pages 167-167
Quantum Spin Chains and Conformally Invariant Non-Linear ?-Models....Pages 203-210
Collective Coordinates and Linear Modes of the Double-Sine-Gordon Kink....Pages 211-214
A Collective Coordinate Method for Classical Dynamics of Nonlinear Klein-Gordon Kinks....Pages 215-219
Quantum Coherence and the Nonlinear Schr?dinger Equation....Pages 220-225
Energy Transfer, Self-Trapping, and Solitons on a Nonlinear Dimer....Pages 226-231
Front Matter....Pages 233-233
Microscopic Probing of BaTiO3 Ferroelectric Phase Transitions by EPR....Pages 234-245
Structural Transformations in DNA....Pages 246-254
Temperature Dependence of the Soft Mode for Structural Phase Transitions in Highly Anisotropic Systems....Pages 255-259
A Model for the B?Z Transition of DNA Involving Solitary Excitations....Pages 260-264
Front Matter....Pages 265-270
Recent Experimental Results in Spin-Glass Dynamics....Pages 271-271
Spin Glasses: Recent Theoretical Developments....Pages 272-282
The Random Field Problem — Facts and Fiction....Pages 283-289
Statics and Dynamics of the Random Field Ising Model (Theory)....Pages 290-290
A Driven Random Field System: CDW Dynamics....Pages 291-307
Front Matter....Pages 308-318
Topography and Diffusion of Kinks in Incommensurate Insulators: Relationship Between Phase Conjugation and Thermal Hysteresis in Incommensurate Phases, and a Physical Analog for Circadian Biorhythms....Pages 319-319
Model of Icosahedral Order....Pages 320-329
Systematics of Disorder in Quasiperiodic Material....Pages 330-337
Friction and Forced Flow: Collective Transport in Disordered Media....Pages 338-338
Non-Equilibrium Behavior, Hysteresis and Condensate Quakes in the Pinned Charge Density Wave....Pages 339-349
Front Matter....Pages 350-360
Vortex Dynamics in Two-Dimensional Arrays of Superconducting Weak Links....Pages 319-319
Interfacial Pattern Formation: A Progress Report....Pages 361-373
Intrinsic Defect States in Protein Assemblages....Pages 374-385
Is Universality Valid on Hierarchical and Fractal Lattices?....Pages 386-389
Front Matter....Pages 390-394
Lessons from the Past and Prospects for the Future?....Pages 395-395
Back Matter....Pages 396-399
....Pages 401-401
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