Vortices in Nonlinear Fields: From Liquid Crystals to Superfluids, from Non-equilibrium Patterns to…

Hardcover | January 1, 1999

byL. M. Pismen

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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 furtherevolution 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, toquantized 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 differentsettings, but also emphasizes the analytical methods that allow an understanding of the common theoretical structure underlying defect dynamics.

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From the Publisher

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 furtherevolution are determined to a large extent by the...

Leonid M. Pismen is at Israel Institute of Technology, Haifa.

other books by L. M. Pismen

Format:HardcoverPublished:January 1, 1999Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198501676

ISBN - 13:9780198501671

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Table of Contents

1. Ordered media2. Dissipative motion3. Dislocations in patterns4. Vortices in superfluids5. Motion of line vortices6. Vortices in superconductors7. Non-potential and nonlocal models8. Anisoptopic superfluids9. Relativistic vortices and strings