Geometry and phase transitions in colloids and polymers:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
©2009
|
| Schriftenreihe: | World Scientific lecture notes in physics
v. 79 |
| Schlagworte: | |
| Online-Zugang: | DE-1046 DE-1047 Volltext |
| Beschreibung: | Includes bibliographical references and index The big picture. 1. Modern physics at a glance -- Geometry and phase transitions, in general. 2. Phase transitions and critical phenomena. 2.1. Introduction. 2.2. Modern classification of phase transitions. 2.3. First-order phase transitions: solid-liquid transition. 2.4. Second-order phase transitions: scaling and universality. 2.5. Renormalization group. 2.6. Mathematical miscellanies: semi-group structure and fixed-point theorems. 2.7. Conclusion. 3. Overview of density-functional theory. 3.1. Introduction. 3.2. Electronic density-functional theory. 3.3. Classical density-functional theory. 3.4. Conclusion. 4. Survey of solid geometry and topology. 4.1. Introduction. 4.2. Lattice symmetry groups. 4.3. Two-dimensional space groups. 4.4. Three-dimensional point groups. 4.5. Conceptual framework of the foam model. 4.6. The Kelvin Problem and the Kepler conjecture. 4.7. Conclusion -- Geometry and phase transitions, in colloidal crystals. 5. Lattice free energy via the foam model. 5.1. Introduction. 5.2. Bulk free energy. 5.3. Interfacial free energy. 5.4. Conclusion. 6. Phases of charged colloidal crystals. 6.1. Introduction. 6.2. Phase transitions of charged colloids. 6.3. Foam analogy and charged colloids. 6.4. Conclusion. 7. Elasticity of colloidal crystals. 7.1. Introduction. 7.2. Foam analogy and cubic elastic constants. 7.3. Elasticity of charged colloidal crystals. 7.4. Elasticity of fuzzy colloids. 7.5. Conclusion -- Geometry and phase transitions, in topologically constrained polymers. 8. Topologically-constrained polymers in theta solution. 8.1. Introduction. 8.2. O(N)-symmetric ø[symbol]-theory. 8.3. Chern-Simons theory and Writhe. 8.4. One-loop scaling of closed polymers. 8.5. Two-loop results. 8.6. Conclusion -- Summary. 9. Final thoughts This monograph represents an extension of the author's original PhD thesis and includes a more thorough discussion on the concepts and mathematics behind his research works on the foam model, as applied to studying issues of phase stability and elasticity for various non-closed packed structures found in fuzzy and colloidal crystals, as well as on a renormalization-group analysis regarding the critical behavior of loop polymers upon which topological constraints are imposed. The common thread behind these two research works is their demonstration of the importance and effectiveness of utilizing geometrical and topological concepts for modeling and understanding soft systems undergoing phase transitions |
| Beschreibung: | 1 Online-Ressource (xxii, 191 pages) |
| ISBN: | 9789812834966 9789812834973 9812834974 |
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| 490 | 0 | |a World Scientific lecture notes in physics |v v. 79 | |
| 500 | |a Includes bibliographical references and index | ||
| 500 | |a The big picture. 1. Modern physics at a glance -- Geometry and phase transitions, in general. 2. Phase transitions and critical phenomena. 2.1. Introduction. 2.2. Modern classification of phase transitions. 2.3. First-order phase transitions: solid-liquid transition. 2.4. Second-order phase transitions: scaling and universality. 2.5. Renormalization group. 2.6. Mathematical miscellanies: semi-group structure and fixed-point theorems. 2.7. Conclusion. 3. Overview of density-functional theory. 3.1. Introduction. 3.2. Electronic density-functional theory. 3.3. Classical density-functional theory. 3.4. Conclusion. 4. Survey of solid geometry and topology. 4.1. Introduction. 4.2. Lattice symmetry groups. 4.3. Two-dimensional space groups. 4.4. Three-dimensional point groups. 4.5. Conceptual framework of the foam model. 4.6. The Kelvin Problem and the Kepler conjecture. 4.7. Conclusion -- Geometry and phase transitions, in colloidal crystals. 5. Lattice free energy via the foam model. 5.1. Introduction. 5.2. Bulk free energy. 5.3. Interfacial free energy. 5.4. Conclusion. 6. Phases of charged colloidal crystals. 6.1. Introduction. 6.2. Phase transitions of charged colloids. 6.3. Foam analogy and charged colloids. 6.4. Conclusion. 7. Elasticity of colloidal crystals. 7.1. Introduction. 7.2. Foam analogy and cubic elastic constants. 7.3. Elasticity of charged colloidal crystals. 7.4. Elasticity of fuzzy colloids. 7.5. Conclusion -- Geometry and phase transitions, in topologically constrained polymers. 8. Topologically-constrained polymers in theta solution. 8.1. Introduction. 8.2. O(N)-symmetric ø[symbol]-theory. 8.3. Chern-Simons theory and Writhe. 8.4. One-loop scaling of closed polymers. 8.5. Two-loop results. 8.6. Conclusion -- Summary. 9. Final thoughts | ||
| 500 | |a This monograph represents an extension of the author's original PhD thesis and includes a more thorough discussion on the concepts and mathematics behind his research works on the foam model, as applied to studying issues of phase stability and elasticity for various non-closed packed structures found in fuzzy and colloidal crystals, as well as on a renormalization-group analysis regarding the critical behavior of loop polymers upon which topological constraints are imposed. The common thread behind these two research works is their demonstration of the importance and effectiveness of utilizing geometrical and topological concepts for modeling and understanding soft systems undergoing phase transitions | ||
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Datensatz im Suchindex
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| adam_text | |
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| author | Kung, William |
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| discipline | Physik |
| format | Electronic eBook |
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| id | DE-604.BV043133992 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-11T13:03:18Z |
| institution | BVB |
| isbn | 9789812834966 9789812834973 9812834974 |
| language | English |
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| record_format | marc |
| series2 | World Scientific lecture notes in physics |
| spelling | Kung, William Verfasser aut Geometry and phase transitions in colloids and polymers William Kung Singapore World Scientific Pub. Co. ©2009 1 Online-Ressource (xxii, 191 pages) txt rdacontent c rdamedia cr rdacarrier World Scientific lecture notes in physics v. 79 Includes bibliographical references and index The big picture. 1. Modern physics at a glance -- Geometry and phase transitions, in general. 2. Phase transitions and critical phenomena. 2.1. Introduction. 2.2. Modern classification of phase transitions. 2.3. First-order phase transitions: solid-liquid transition. 2.4. Second-order phase transitions: scaling and universality. 2.5. Renormalization group. 2.6. Mathematical miscellanies: semi-group structure and fixed-point theorems. 2.7. Conclusion. 3. Overview of density-functional theory. 3.1. Introduction. 3.2. Electronic density-functional theory. 3.3. Classical density-functional theory. 3.4. Conclusion. 4. Survey of solid geometry and topology. 4.1. Introduction. 4.2. Lattice symmetry groups. 4.3. Two-dimensional space groups. 4.4. Three-dimensional point groups. 4.5. Conceptual framework of the foam model. 4.6. The Kelvin Problem and the Kepler conjecture. 4.7. Conclusion -- Geometry and phase transitions, in colloidal crystals. 5. Lattice free energy via the foam model. 5.1. Introduction. 5.2. Bulk free energy. 5.3. Interfacial free energy. 5.4. Conclusion. 6. Phases of charged colloidal crystals. 6.1. Introduction. 6.2. Phase transitions of charged colloids. 6.3. Foam analogy and charged colloids. 6.4. Conclusion. 7. Elasticity of colloidal crystals. 7.1. Introduction. 7.2. Foam analogy and cubic elastic constants. 7.3. Elasticity of charged colloidal crystals. 7.4. Elasticity of fuzzy colloids. 7.5. Conclusion -- Geometry and phase transitions, in topologically constrained polymers. 8. Topologically-constrained polymers in theta solution. 8.1. Introduction. 8.2. O(N)-symmetric ø[symbol]-theory. 8.3. Chern-Simons theory and Writhe. 8.4. One-loop scaling of closed polymers. 8.5. Two-loop results. 8.6. Conclusion -- Summary. 9. Final thoughts This monograph represents an extension of the author's original PhD thesis and includes a more thorough discussion on the concepts and mathematics behind his research works on the foam model, as applied to studying issues of phase stability and elasticity for various non-closed packed structures found in fuzzy and colloidal crystals, as well as on a renormalization-group analysis regarding the critical behavior of loop polymers upon which topological constraints are imposed. The common thread behind these two research works is their demonstration of the importance and effectiveness of utilizing geometrical and topological concepts for modeling and understanding soft systems undergoing phase transitions SCIENCE / Physics / Condensed Matter bisacsh Phase transformations (Statistical physics) Colloidal crystals Phase-transfer catalysts Phasenumwandlung (DE-588)4132140-6 gnd rswk-swf Kristall (DE-588)4033209-3 gnd rswk-swf Topologische Polymere (DE-588)4744530-0 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Kolloid (DE-588)4164695-2 gnd rswk-swf Kolloid (DE-588)4164695-2 s Kristall (DE-588)4033209-3 s Phasenumwandlung (DE-588)4132140-6 s Geometrie (DE-588)4020236-7 s 1\p DE-604 Topologische Polymere (DE-588)4744530-0 s 2\p DE-604 3\p DE-604 World Scientific (Firm) Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=305232 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kung, William Geometry and phase transitions in colloids and polymers SCIENCE / Physics / Condensed Matter bisacsh Phase transformations (Statistical physics) Colloidal crystals Phase-transfer catalysts Phasenumwandlung (DE-588)4132140-6 gnd Kristall (DE-588)4033209-3 gnd Topologische Polymere (DE-588)4744530-0 gnd Geometrie (DE-588)4020236-7 gnd Kolloid (DE-588)4164695-2 gnd |
| subject_GND | (DE-588)4132140-6 (DE-588)4033209-3 (DE-588)4744530-0 (DE-588)4020236-7 (DE-588)4164695-2 |
| title | Geometry and phase transitions in colloids and polymers |
| title_auth | Geometry and phase transitions in colloids and polymers |
| title_exact_search | Geometry and phase transitions in colloids and polymers |
| title_full | Geometry and phase transitions in colloids and polymers William Kung |
| title_fullStr | Geometry and phase transitions in colloids and polymers William Kung |
| title_full_unstemmed | Geometry and phase transitions in colloids and polymers William Kung |
| title_short | Geometry and phase transitions in colloids and polymers |
| title_sort | geometry and phase transitions in colloids and polymers |
| topic | SCIENCE / Physics / Condensed Matter bisacsh Phase transformations (Statistical physics) Colloidal crystals Phase-transfer catalysts Phasenumwandlung (DE-588)4132140-6 gnd Kristall (DE-588)4033209-3 gnd Topologische Polymere (DE-588)4744530-0 gnd Geometrie (DE-588)4020236-7 gnd Kolloid (DE-588)4164695-2 gnd |
| topic_facet | SCIENCE / Physics / Condensed Matter Phase transformations (Statistical physics) Colloidal crystals Phase-transfer catalysts Phasenumwandlung Kristall Topologische Polymere Geometrie Kolloid |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=305232 |
| work_keys_str_mv | AT kungwilliam geometryandphasetransitionsincolloidsandpolymers AT worldscientificfirm geometryandphasetransitionsincolloidsandpolymers |