Format:
1 Online-Ressource (XXI, 311 Seiten)
,
116 Illustrationen
Edition:
Springer eBook Collection. Physics and Astronomy
ISBN:
9783030118396
Series Statement:
Nonlinear Systems and Complexity volume 26
Content:
This book presents a careful selection of the most important developments of the ɸ4 model, offering a judicious summary of this model with a view to future prospects and the challenges ahead. Over the past four decades, the ɸ4 model has been the basis for a broad array of developments in the physics and mathematics of nonlinear waves. From kinks to breathers, from continuum media to discrete lattices, from collisions of solitary waves to spectral properties, and from deterministic to stochastic models of ɸ4 (and ɸ6 ,ɸ8 ,ɸ12 variants more recently), this dynamical model has served as an excellent test bed for formulating and testing the ideas of nonlinear science and solitary waves
Content:
Historical Perspectives of \phi^4 Model -- Some Recent Developments on Kink Collisions -- Statistical Mechanics and Stochastic Aspects of \phi^4 Models -- Discrete Variants of \phi^4 Model -- Discrete Breathers in \phi^4 and Related Models -- \phi^4 Breathers: History and Recent Developments -- Decay of Bions in \phi^4 Models -- \phi^4 Model with a Potential -- \phi^4 Model in Higher Dimensions -- Beyond the \phi^4 Model: \phi^6, \phi^8, etc
Additional Edition:
ISBN 9783030118389
Additional Edition:
ISBN 9783030118402
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 978-3-030-11838-9
Additional Edition:
Printed edition ISBN 9783030118389
Additional Edition:
Printed edition ISBN 9783030118402
Language:
English
DOI:
10.1007/978-3-030-11839-6
