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Titlebook: Introduction to Topological Defects and Solitons; In Liquid Crystals, Jonathan V. Selinger Textbook 2024 The Editor(s) (if applicable) and

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发表于 2025-3-21 18:41:33 | 显示全部楼层 |阅读模式
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Titlebook: Introduction to Topological Defects and Solitons; In Liquid Crystals,  Jonathan V. Selinger Textbook 2024 The Editor(s) (if applicable) and
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
doihttps://doi.org/10.1007/978-3-031-70200-6
isbn_softcover978-3-031-70199-3
isbn_ebook978-3-031-70200-6Series ISSN 0075-8450 Series E-ISSN 1616-6361
issn_series 0075-8450
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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发表于 2025-3-21 20:36:56 | 显示全部楼层
3D Measuring Surface: HopfionsD measuring space. The 3D measuring space leads to a 3D topological charge, called the Hopf index, which describes the linking of preimages in the orientational order. Based on this 3D topological charge, the chapter discusses hopfions as a new type of topological solitons.
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Introduction to Topological Defects and Solitons978-3-031-70200-6Series ISSN 0075-8450 Series E-ISSN 1616-6361
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Lecture Notes in Physicshttp://image.papertrans.cn/i/image/476485.jpg
发表于 2025-3-22 20:14:50 | 显示全部楼层
https://doi.org/10.1007/978-3-031-70200-6Defects in materials; Disclination defects; Hopfions; Vortices; Dislocation defects; Hedgehog defects; Top
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发表于 2025-3-23 04:07:24 | 显示全部楼层
0075-8450 de 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 of978-3-031-70199-3978-3-031-70200-6Series ISSN 0075-8450 Series E-ISSN 1616-6361
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