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020 _a9783031702006
_9978-3-031-70200-6
024 7 _a10.1007/978-3-031-70200-6
_2doi
050 4 _aQC173.45-173.458
072 7 _aPHFC
_2bicssc
072 7 _aSCI077000
_2bisacsh
072 7 _aPHFC
_2thema
100 1 _aSelinger, Jonathan V.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_985995
245 1 0 _aIntroduction to Topological Defects and Solitons
_h[electronic resource] :
_bIn Liquid Crystals, Magnets, and Related Materials /
_cby Jonathan V. Selinger.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXIII, 213 p. 80 illus., 77 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x1616-6361 ;
_v1032
505 0 _aChapter 1. Introduction to Defects -- Chapter 2. Introduction to Solitons -- Chapter 3. Free Energy -- Chapter 4. Dynamics and Statistical Mechanics -- Chapter 5. Prequel to Defects: Variable Magnitude of Order -- Chapter 6. Further Issues: Defect Phase/Orientation, Charge Density, Curvature -- Chapter 7. 2D Nematic Order, Active Liquid Crystals -- Chapter 8. 3D Polar or Nematic Order -- Chapter 9. Defects in Crystals -- Chapter 10. 2D Measuring Surface: Hedgehogs, Skyrmions -- Chapter 11. 3D Measuring Surface: Hopfions -- Chapter 12. Phases With Regular Arrays of Defects or Solitons.
520 _aThis 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.
650 0 _aCondensed matter.
_966773
650 0 _aSoft condensed matter.
_966723
650 0 _aMathematical physics.
650 0 _aDifferential equations.
650 1 4 _aCondensed Matter Physics.
_971872
650 2 4 _aCondensed Matter.
_966773
650 2 4 _aSoft Materials.
_966725
650 2 4 _aMathematical Methods in Physics.
_970877
650 2 4 _aMathematical Physics.
650 2 4 _aDifferential Equations.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031701993
776 0 8 _iPrinted edition:
_z9783031702013
830 0 _aLecture Notes in Physics,
_x1616-6361 ;
_v1032
_972070
856 4 0 _uhttps://doi.org/10.1007/978-3-031-70200-6
912 _aZDB-2-PHA
912 _aZDB-2-SXP
912 _aZDB-2-LNP
999 _c64186
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