书目名称 | Dissipative Solitons in Reaction Diffusion Systems |
副标题 | Mechanisms, Dynamics |
编辑 | Andreas W. Liehr |
视频video | |
概述 | Most comprehensive book on localized solutions in reaction diffusion systems.Covers all the related theoretical aspects in a closed concept.Provides a reference to researchers and a text to graduate s |
丛书名称 | Springer Series in Synergetics |
图书封面 |  |
描述 | .Why writing a book about a specialized task of the large topic of complex systems? And who will read it? The answer is simple: The fascination for a didactically valuable point of view, the elegance of a closed concept and the lack of a comprehensive disquisition..The fascinating part is that field equations can have localized solutions exhibiting the typical characteristics of particles. Regarding the field equations this book focuses on, the field phenomenon of localized solutions can be described in the context of a particle formalism, which leads to a set of ordinary differential equations covering the time evolution of the position and the velocity of each particle. Moreover, starting from these particle dynamics and making the transition to many body systems, one considers typical phenomena of many body systems as shock waves and phase transitions, which themselves can be described as field phenomena. Such transitions between different level of modelling are well known from conservative systems, where localized solutions of quantum field theory lead to the mechanisms of elementary particle interaction and from this to field equations describing the properties of matter. Howe |
出版日期 | Book 2013 |
关键词 | Bifurcation theory; Order parameter equations; Reduced dynamics; Self-organization; Structure formation |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-642-31251-9 |
isbn_softcover | 978-3-642-42984-2 |
isbn_ebook | 978-3-642-31251-9Series ISSN 0172-7389 Series E-ISSN 2198-333X |
issn_series | 0172-7389 |
copyright | Springer-Verlag Berlin Heidelberg 2013 |