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1 Selinger, Jonathan V Introduction to Topological Defects and Solitons I13189 2024 eBook  
2 Selinger, Jonathan V Introduction to the Theory of Soft Matter I10283 2016 eBook  
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TitleIntroduction to Topological Defects and Solitons : In Liquid Crystals, Magnets, and Related Materials
Author(s)Selinger, Jonathan V
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionXIII, 213 p. 80 illus., 77 illus. in color : online resource
Abstract NoteThis 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
ISBN,Price9783031702006
Keyword(s)1. CONDENSED MATTER 2. CONDENSED MATTER PHYSICS 3. DIFFERENTIAL EQUATIONS 4. EBOOK 5. EBOOK - SPRINGER 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. Soft condensed matter 9. Soft Materials
Item TypeeBook
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I13189     On Shelf    

2.    
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TitleIntroduction to the Theory of Soft Matter : From Ideal Gases to Liquid Crystals
Author(s)Selinger, Jonathan V
PublicationCham, Springer International Publishing, 2016.
DescriptionX, 185 p. 78 illus., 69 illus. in color : online resource
Abstract NoteThis book presents the theory of soft matter to students at the advanced undergraduate or beginning graduate level. It provides a basic introduction to theoretical physics as applied to soft matter, explaining the concepts of symmetry, broken symmetry, and order parameters; phases and phase transitions; mean-field theory; and the mathematics of variational calculus and tensors. It is written in an informal, conversational style, which is accessible to students from a diverse range of backgrounds. The book begins with a simple ???toy model??? to demonstrate the physical significance of free energy. It then introduces two standard theories of phase transitions???the Ising model for ferromagnetism and van der Waals theory of gases and liquids???and uses them to illustrate principles of statistical mechanics. From those examples, it moves on to discuss order, disorder, and broken symmetry in many states of matter, and to explain the theoretical methods that are used to model the phenomena. It concludes with a chapter on liquid crystals, which brings together all of these physical and mathematical concepts. The book is accompanied by a set of ???interactive figures,??? which allow online readers to change parameters and see what happens to a graph, some allow users to rotate a plot or other graphics in 3D, and some do both. These interactive figures help students to develop their intuition for the physical meaning of equations. This book will prepare advanced undergraduate or early graduate students to go into more advanced theoretical studies. It will also equip students going into experimental soft matter science to be fully conversant with the theoretical aspects and have effective collaborations with theorists
ISBN,Price9783319210544
Keyword(s)1. Amorphous substances 2. Biomedical engineering 3. Biomedical Engineering and Bioengineering 4. Chemometrics 5. Complex fluids 6. EBOOK 7. EBOOK - SPRINGER 8. Math. Applications in Chemistry 9. PHYSICAL CHEMISTRY 10. Soft and Granular Matter, Complex Fluids and Microfluidics
Item TypeeBook
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I10283     On Shelf    

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