ISBN: 9783031701993 - introduction to topological defects and solitons: in liquid crystals, magnets, and related materials: 1032 (lecture notes in physics) (25 resultados)

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Paperback. Condición: New. 2024 ed. 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.…

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Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. …

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Taschenbuch. Condición: Neu. Introduction to Topological Defects and Solitons | In Liquid Crystals, Magnets, and Related Materials | Jonathan V. Selinger | Taschenbuch | Lecture Notes in Physics | xiii | Englisch | 2024 | Springer | EAN 9783031701993 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.…

Paperback. Condición: New. 2024 ed. 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.…

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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 213 pp. Englisch.…

Paperback. Condición: Brand New. 226 pages. 9.26x6.11x9.21 inches. In Stock. This item is printed on demand.

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Taschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 228 pp. Englisch.…