书目名称 | Introduction to Topological Defects and Solitons | 副标题 | In Liquid Crystals, | 编辑 | Jonathan V. Selinger | 视频video | | 概述 | Avoids the formal mathematics of topology, instead concentrates on physical properties.Begins with simple models to illustrate key principles which are then generalized to more complex types of order. | 丛书名称 | Lecture Notes in Physics | 图书封面 |  | 描述 | .This textbook introduces topological defects and solitons at a level suitable for advanced undergraduates and beginning graduate students in physics and materials science. It avoids the formal mathematics of topology, and instead concentrates on the physical properties of these topological structures...The first half of the book concentrates on fundamental principles of defects and solitons, and illustrates these principles with a single example—the xy model for 2D magnetic order. It begins by defining the concept of a winding number, and uses this concept to describe the topology of defects (vortices or disclinations) and solitons (domain walls), carefully identifying the similarities and differences between these two types of topological structures. It then goes on to discuss physical properties of defects and solitons, including free energy, dynamics, statistical mechanics, and coupling with curvature. It shows how these concepts emerge from a theory with variable magnitude of order, and hence how topology can be viewed as an approximation to physics...The second half goes on to explore a wider range of topological defects and solitons. First, it considers more complex types of | 出版日期 | Textbook 2024 | 关键词 | Defects in materials; Disclination defects; Hopfions; Vortices; Dislocation defects; Hedgehog defects; Top | 版次 | 1 | doi | https://doi.org/10.1007/978-3-031-70200-6 | isbn_softcover | 978-3-031-70199-3 | isbn_ebook | 978-3-031-70200-6Series ISSN 0075-8450 Series E-ISSN 1616-6361 | issn_series | 0075-8450 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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