Ebook: Nonlinear Dynamics in Solids

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.

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This is the second volume in a sequence of books covering especially interesting and ambitious schools of the German Physical Society held at the Physics Center, Bad Honnef. It presents the current state of research on nonlinear dynamics in solids. Up to now, almost all experimental results on nonlinear dynamics of spatio-temporal phenomena come from hydrodynamic systems. These reviews focus on nonlinear dynamical phenomena in semiconductors, nonlinear optical systems, ferromagnetic systems, and spatially chaotic structures in solids. All are written at a level that makes them accessible to students with an undergraduate education in physics or mathematics.

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This is the second volume in a sequence of books covering especially interesting and ambitious schools of the German Physical Society held at the Physics Center, Bad Honnef. It presents the current state of research on nonlinear dynamics in solids. Up to now, almost all experimental results on nonlinear dynamics of spatio-temporal phenomena come from hydrodynamic systems. These reviews focus on nonlinear dynamical phenomena in semiconductors, nonlinear optical systems, ferromagnetic systems, and spatially chaotic structures in solids. All are written at a level that makes them accessible to students with an undergraduate education in physics or mathematics.
Content:
Front Matter....Pages I-IX
Dynamical Structures: Formation, Symmetry, Stability....Pages 1-21
Deterministic Chaos: Introduction and Recent Results....Pages 22-30
Current Instabilities in Semiconductors: Mechanisms and Self-organized Structures....Pages 31-50
Current Instabilites in the Interplay Between Chaos and Semiconductor Physics....Pages 51-67
Current Density Filaments in Semiconductor Devices....Pages 68-87
Optical Instabilities in Passive Semiconductors....Pages 88-106
Chaos and Nonlinear Effects in Josephson Junctions and Devices....Pages 107-128
Chaotic Dynamics in Spin-Wave Instabilities....Pages 129-155
Solitary Nonlinear Excitations in Spin Systems: Theory....Pages 156-170
Solitary Nonlinear Excitations in Spin Systems: Experiment....Pages 171-193
Ballistic Electrons and Hamiltonian Chaos in Semiconductor Microstructures....Pages 194-212
Spatially Chaotic Structures....Pages 213-241

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This is the second volume in a sequence of books covering especially interesting and ambitious schools of the German Physical Society held at the Physics Center, Bad Honnef. It presents the current state of research on nonlinear dynamics in solids. Up to now, almost all experimental results on nonlinear dynamics of spatio-temporal phenomena come from hydrodynamic systems. These reviews focus on nonlinear dynamical phenomena in semiconductors, nonlinear optical systems, ferromagnetic systems, and spatially chaotic structures in solids. All are written at a level that makes them accessible to students with an undergraduate education in physics or mathematics.
Content:
Front Matter....Pages I-IX
Dynamical Structures: Formation, Symmetry, Stability....Pages 1-21
Deterministic Chaos: Introduction and Recent Results....Pages 22-30
Current Instabilities in Semiconductors: Mechanisms and Self-organized Structures....Pages 31-50
Current Instabilites in the Interplay Between Chaos and Semiconductor Physics....Pages 51-67
Current Density Filaments in Semiconductor Devices....Pages 68-87
Optical Instabilities in Passive Semiconductors....Pages 88-106
Chaos and Nonlinear Effects in Josephson Junctions and Devices....Pages 107-128
Chaotic Dynamics in Spin-Wave Instabilities....Pages 129-155
Solitary Nonlinear Excitations in Spin Systems: Theory....Pages 156-170
Solitary Nonlinear Excitations in Spin Systems: Experiment....Pages 171-193
Ballistic Electrons and Hamiltonian Chaos in Semiconductor Microstructures....Pages 194-212
Spatially Chaotic Structures....Pages 213-241
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