Nonlinear Dynamics in Solids

ISBN-13: 9783642956522 / Angielski / Miękka / 2012 / 241 str.

Harry Thomas

Opis

This volume contains the notes of lectures given at the school on "Nonlinear Dy namics in Solids" held at the Physikzentrum Bad Honnef, 2-6 October 1989 under the patronage of the Deutsche Physikalische Gesellschaft. Nonlinear dynamics has become a highly active research area, owing to many interesting developments during the last three decades in the theoretical analysis of dynamical processes in both Hamiltonian and dissipative systems. Research has been focused on a variety of problems, such as the characteristics of regular and chaotic motion in Hamiltonian dynamics, the problem of quantum chaos, the forma tion and properties of solitary spatio-temporal structures, the occurrence of strange attractors in dissipative systems, and the bifurcation scenarios leading to complex time behaviour. Until recently, predictions of the theory have been tested predominantly on insta bilities in hydrodynamic systems, where many interesting experiments have provided valuable input and have led to a fruitful interaction between experiment and theory. Fluid systems are certainly good candidates for performing clean experiments free from disturbing influences: with fluids, compared to solids, it is simpler to prepare good samples, the relevant length and time scales are in easily accessible ranges, and it is possible to do measurements "inside" the fluid, because it can be filled in after the construction of the apparatus. Further, the theory describing the macroscopic dynamics of fluids is well established and contains only very few parameters, all of which have well-known values."

Spis treści

Dynamical Structures: Formation, Symmetry, Stability.- Deterministic Chaos: Introduction and Recent Results.- Current Instabilities in Semiconductors: Mechanisms and Self-organized Structures.- Current Instabilites in the Interplay Between Chaos and Semiconductor Physics.- Current Density Filaments in Semiconductor Devices.- Optical Instabilities in Passive Semiconductors.- Chaos and Nonlinear Effects in Josephson Junctions and Devices.- Chaotic Dynamics in Spin-Wave Instabilities.- Solitary Nonlinear Excitations in Spin Systems: Theory.- Solitary Nonlinear Excitations in Spin Systems: Experiment.- Ballistic Electrons and Hamiltonian Chaos in Semiconductor Microstructures.- Spatially Chaotic Structures.