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Vortices in Nonlinear Fields : From Liquid Crystals to Superfluids, from Non-equilibrium Patterns to Cosmic Strings - L. M. Pismen

Vortices in Nonlinear Fields

From Liquid Crystals to Superfluids, from Non-equilibrium Patterns to Cosmic Strings

Hardcover Published: 1st December 1998
ISBN: 9780198501671
Number Of Pages: 306

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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 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.

"This book demonstrates a direct involvement of its author in the field in practically all of its aspects. The book, well-written and richly documented, is also generously illustrated and is rigorous in its mathematics. But it also succeeds to keep a matter-of-fact style ... a must for all professional scientists concerned with vorticity under any of its disguises. ... a beautiful source of concepts in a somewhat unified framework."--Zentralblatt MATH "This book demonstrates a direct involvement of its author in the field in practically all of its aspects. The book, well-written and richly documented, is also generously illustrated and is rigorous in its mathematics. But it also succeeds to keep a matter-of-fact style ... a must for all professional scientists concerned with vorticity under any of its disguises. ... a beautiful source of concepts in a somewhat unified framework."--Zentralblatt MATH "This book demonstrates a direct involvement of its author in the field in practically all of its aspects. The book, well-written and richly documented, is also generously illustrated and is rigorous in its mathematics. But it also succeeds to keep a matter-of-fact style ... a must for all professional scientists concerned with vorticity under any of its disguises. ... a beautiful source of concepts in a somewhat unified framework."--Zentralblatt MATH "This book demonstrates a direct involvement of its author in the field in practically all of its aspects. The book, well-written and richly documented, is also generously illustrated and is rigorous in its mathematics. But it also succeeds to keep a matter-of-fact style ... a must for allprofessional scientists concerned with vorticity under any of its disguises. ... a beautiful source of concepts in a somewhat unified framework."--Zentralblatt MATH

1: Ordered media 2: Dissipative motion 3: Dislocations in patterns 4: Vortices in superfluids 5: Motion of line vortices 6: Vortices in superconductors 7: Non-potential and nonlocal models 8: Anisoptopic superfluids 9: Relativistic vortices and strings

ISBN: 9780198501671
ISBN-10: 0198501676
Series: International Series of Monographs on Physics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 306
Published: 1st December 1998
Publisher: Oxford University Press
Country of Publication: GB
Dimensions (cm): 24.2 x 15.9  x 2.2
Weight (kg): 0.55