Statics and Dynamics of Nonlinear Systems [E-Book] : Proceedings of a Workshop at the Ettore Majorana Centre, Erice, Italy, 1–11 July, 1983 / edited by Giorgio Benedek, Heinz Bilz, Roland Zeyher.
Benedek, Giorgio, (editor)
Bilz, Heinz, (editor) / Zeyher, Roland, (editor)
Berlin, Heidelberg : Springer, 1983
VIII, 314 p. online resource.
englisch
9783642821356
10.1007/978-3-642-82135-6
Springer Series in Solid-State Sciences ; 47
Full Text
Table of Contents:
  • 1 Basic Aspects of Nonlinear Systems
  • 1.1 Introduction
  • 1.2 Spectral Transform and Solitons
  • 1.3 Linear and Nonlinear Aspects in Lattice Dynamics
  • 1.4 The Thermoelastic-Plastic Transition in Metals: Thermal Emission as a Probe to Identify the Yield Point
  • 1.5 Solvable Many-Body Problems
  • 1.6 Stability of Hydrated M1+-DNAs: A Challenge in the Theory of Nonlinear Systems
  • 2 Phase Transitions
  • 2.1 Anharmonic Properties Near Structural Phase Transitions: An Update
  • 2.2 Critical Phenomena from Wilson’s Exact Renormalization-Group Equation
  • 2.3 Quantum Fluctuations of a 3-Dimensional ?4 Model-Quantum Ferroelectrics
  • 2.4 Stochastic Quantization and Critical Dynamics
  • 3 Incommensurate Phases and Charge-Density Waves
  • 3.1 The Physical Mechanisms Leading to Incommensurate Phases
  • 3.2 Excitations and Chaotic States in Incommensurate Multi-Soliton Lattices: Experiments
  • 3.3 The Transition by Breaking of Analyticity in Incommensurate Structures and the Devil’s Staircase; Application to Metal-Insulator Transitions in Peierls Chains
  • 3.4 Non-Linearity Induced by Charge-Density Wave Motion
  • 3.5 Low-Frequency Dynamics of Soliton Lattices
  • 4 Chaos in Condensed Matter
  • 4.1 Universality and Fractal Dimension of Mode-Locking Structure in Systems with Competing Periodicities
  • 4.2 Chaos and Solitons in Josephson Junctions
  • 4.3 Transition to Deterministic Chaos in a Hydrodynamic System
  • 4.4 Chaos and Solitons in Dissipative Nonlinear Systems
  • 4.5 Chaos-Induced Diffusion
  • 5 Solitons and Other Exact Solutions of Nonlinear Equations
  • 5.1 Classical Statistical Mechanics of Lattice Dynamic Model Systems: Transfer Integral and Molecular-Dynamics Studies
  • 5.2 The Spectral Transform: Methods for the Fourier Analysis of Nonlinear Wave Data
  • 5.3 Kink- and Polaron-Solitons in Models of Polyacetylene and Other Peierls-Distorted Materials
  • 5.4 Counting Solitons and Phonons in the Toda Lattice
  • 5.5 Structure of Interfaces
  • 5.6 Commensurate Structures in Solids
  • 5.7 Periodon Solutions in Two- and Three-Dimensional Lattices
  • 5.8 Intrinsic Non-Linearity (in Phonon Numbers) of the Response Functions of Elastic Systems: A Proposal of Quantum Acoustics
  • Index of Contributors.