A Dynamical Perspective on the ɸ4 Model Past, Present and Future /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Kevrekidis, Panayotis G. (Editor, http://id.loc.gov/vocabulary/relators/edt), Cuevas-Maraver, Jesús (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Nonlinear Systems and Complexity, 26
• Subjects: Physics.; Mathematical physics.; Solid state physics.; Engineering mathematics.; Statistical physics.; Mathematical Methods in Physics.; Mathematical Applications in the Physical Sciences.; Solid State Physics.; Engineering Mathematics.; Statistical Physics and Dynamical Systems.

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...

Table of Contents:

• 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. .