Introduction to Topological Defects and Solitons: In Liquid Crystals, Magnets, and Related Materials
暫譯: 液晶、磁性材料及相關材料中的拓撲缺陷與孤子導論
Selinger, Jonathan V.
- 出版商: Springer
- 出版日期: 2024-10-15
- 售價: $2,920
- 貴賓價: 9.5 折 $2,774
- 語言: 英文
- 頁數: 213
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3031701992
- ISBN-13: 9783031701993
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相關分類:
材料科學 Meterials
海外代購書籍(需單獨結帳)
相關主題
商品描述
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 order--2D nematic liquid crystals, 3D magnetic or liquid-crystal order, 2D or 3D crystalline solids--and shows how each type of order leads to specific topological structures. Next, it discusses defects and solitons that are characterized by 2D or 3D measuring surfaces, not just 1D loops, including hedgehogs, skyrmions, and hopfions. These structures are more complex, but they can still be understood using the same fundamental principles. A final chapter describes the formation of phases with regular arrays of defects or solitons.
商品描述(中文翻譯)
這本教科書介紹了拓撲缺陷和孤子，適合高年級本科生和物理及材料科學的初學研究生。它避免了拓撲的正式數學，而是專注於這些拓撲結構的物理性質。
本書的前半部分集中於缺陷和孤子的基本原則，並用一個單一的例子來說明這些原則——二維磁序的 xy 模型。它首先定義了纏繞數的概念，並利用這一概念來描述缺陷（渦旋或位錯）和孤子（域壁）的拓撲，仔細識別這兩種拓撲結構之間的相似性和差異。接著，它討論了缺陷和孤子的物理性質，包括自由能、動力學、統計力學以及與曲率的耦合。它展示了這些概念如何從具有變量大小的序參數理論中產生，因此拓撲如何被視為物理的一種近似。
後半部分則探討更廣泛的拓撲缺陷和孤子。首先，它考慮了更複雜的序類型——二維向列液晶、三維磁性或液晶序、二維或三維晶體固體——並展示了每種類型的序如何導致特定的拓撲結構。接下來，它討論了以二維或三維測量面為特徵的缺陷和孤子，而不僅僅是一維環路，包括刺猬、斯基爾米翁和霍普費翁。這些結構更為複雜，但仍然可以使用相同的基本原則來理解。最後一章描述了具有規則缺陷或孤子陣列的相的形成。
作者簡介
Jonathan Selinger is Professor of Physics and Ohio Eminent Scholar in Theoretical Liquid Crystal Physics at Kent State University. His research focuses on liquid crystals and other soft materials, and seeks to make connections between fundamental statistical mechanics and technological applications.
Selinger studied physics at Harvard University, receiving his A.B. in 1983 and Ph.D. in 1989. He then did postdoctoral research in Los Angeles, with positions at the UCLA Department of Physics and Caltech Department of Chemical Engineering. In 1992 he moved to the Naval Research Laboratory in Washington, DC, where he worked as Research Physicist in the Center for Bio/Molecular Science and Engineering. In 2005 he came to his current position at Kent State. In addition to these research and teaching positions, he has also served as Associate Editor of Physical Review E, responsible for the liquid-crystal section of the journal, and he is currently Treasurer of the International Liquid Crystal Society.
Selinger's previous book is Introduction to the Theory of Soft Matter: From Ideal Gases to Liquid Crystals, published by Springer in 2016.
作者簡介(中文翻譯)
喬納森·塞林格（Jonathan Selinger）是肯特州立大學（Kent State University）物理學教授及俄亥俄州傑出學者，專注於理論液晶物理學。他的研究重點在於液晶及其他軟材料，並試圖在基本統計力學與技術應用之間建立聯繫。
塞林格在哈佛大學（Harvard University）學習物理，於1983年獲得學士學位（A.B.），並於1989年獲得博士學位（Ph.D.）。隨後，他在洛杉磯進行博士後研究，曾在加州大學洛杉磯分校（UCLA）物理系及加州理工學院（Caltech）化學工程系任職。1992年，他轉至華盛頓特區的海軍研究實驗室（Naval Research Laboratory），擔任生物/分子科學與工程中心的研究物理學家。2005年，他來到肯特州立大學擔任目前的職位。除了這些研究和教學職位外，他還擔任《物理評論E》（Physical Review E）的副編輯，負責該期刊的液晶部分，目前是國際液晶學會（International Liquid Crystal Society）的財務主管。
塞林格的前一本書是《軟物質理論導論：從理想氣體到液晶》（Introduction to the Theory of Soft Matter: From Ideal Gases to Liquid Crystals），於2016年由施普林格（Springer）出版。
