Vortices in Nonlinear Fields
From Liquid Crystals to Superfluids, from Non-equilibrium Patterns to Cosmic Strings
Series: International Series of Monographs on Physics; 100;
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Product details:
- Publisher OUP Oxford
- Date of Publication 11 March 1999
- ISBN 9780198501671
- Binding Hardback
- No. of pages306 pages
- Size 242x159x22 mm
- Weight 620 g
- Language English
- Illustrations numerous line figures 0
Categories
Short description:
Although the behaviour of natural phenomena can be explained by a few simple and symmetric basic laws there is an astounding variety of possibilities. These are caused by a process known as symmetry breaking, and vortices are one of the most common manifestations. This book concentrates on the dynamics of vortices in various contexts and gives a unified view of the underlying phenomena.
MoreLong description:
Although natural phenomena can be described by a few simple and symmetric basic laws they exhibit an astounding variety of behaviours. This can be explained by a process known as symmetry breaking, which can cause an ordered state to form with topological defects. The dynamics of further evolution are determined to a large extent by the dynamics of such defects. This book covers the structure and dynamics of vortices in a variety of nonlinear field models with spontaneously broken symmetry. Point vortices or vortex lines can correspond, depending on the physical setting, to quantized vortices in superfluids or superconductors, dislocations in non- equilibrium patterns, rotating spiral waves, disclinations in liquid crystals, singularities in optical fields or strings in relativistic field theories. This book is unique in considering vortices in these different settings, but also emphasizes the analytical methods that allow an understanding of the common theoretical structure underlying defect dynamics.
MoreTable of Contents:
Ordered media
Dissipative motion
Dislocations in patterns
Vortices in superfluids
Motion of line vortices
Vortices in superconductors
Non-potential and nonlocal models
Anisoptopic superfluids
Relativistic vortices and strings