Geometry and phase transitions in colloids and polymers:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Jersey [u.a.]
World Scientific
2009
|
| Schriftenreihe: | World Scientific lecture notes in physics
79 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | XXII, 191 S. Ill., graph. Darst. |
| ISBN: | 9789812834966 |
Internformat
MARC
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| 100 | 1 | |a Kung, William |e Verfasser |0 (DE-588)13890197X |4 aut | |
| 245 | 1 | 0 | |a Geometry and phase transitions in colloids and polymers |c William Kung |
| 264 | 1 | |a New Jersey [u.a.] |b World Scientific |c 2009 | |
| 300 | |a XXII, 191 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a World Scientific lecture notes in physics |v 79 | |
| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Phase transformations (Statistical physics) | |
| 650 | 4 | |a Colloidal crystals | |
| 650 | 4 | |a Phase-transfer catalysts | |
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| 650 | 0 | 7 | |a Geometrie |0 (DE-588)4020236-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kolloid |0 (DE-588)4164695-2 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1818149198963408896 |
|---|---|
| adam_text |
Contents
Preface
vii
List of Figures
xv
List of Tables
xxii
The Big Picture
1
1.
Modern Physics at a Glance
3
Geometry and Phase Transitions, in General
15
2.
Phase Transitions and Critical Phenomena
17
2.1
Introduction
. 17
2.1.1
Evolution of the Universe: Decoupling of the Four
Fundamental Forces
. 18
2.1.2
Three States of Water
. 19
2.1.3
Spins and Magnetism
. 21
2.2
Modern Classification of Phase Transitions
. 23
2.3
First-Order Phase Transitions: Solid-Liquid Transition
. . 24
2.4
Second-Order Phase Transitions: Scaling and Universality
25
2.5
Renormalization Group
. 26
2.5.1
Kadanoff Picture: Coarse-Graining of Spin Blocks
26
2.5.2
General Formulation
. 28
2.5.3
Critical Exponents
. 31
2.5.4
Origin of Universality Class
. 32
xii
Geometry and Phase Transitions in Colloids and Polymers
2.5.5
Wilsonian Picture: Momentum-Space Renormal-
ization Group
. 33
2.6
Mathematical Miscellanies: Semi-Group Structure and
Fixed-Point Theorems
. 34
2.6.1
Semi-groups
. 34
2.6.2
Miscellany on Fixed-Points
. 35
2.7
Conclusion
. 35
3.
Overview of Density-Functional Theory
38
3.1
Introduction
. 38
3.2
Electronic Density-Functional Theory
. 38
3.3
Classical Density-Functional Theory
. 42
3.4
Conclusion
. 46
4.
Survey of Solid Geometry and Topology
49
4.1
Introduction
. 49
4.2
Lattice Symmetry Groups
. 50
4.3
Two-Dimensional Space Groups
. 53
4.3.1
Hermann-Mauguin Crystallographic Notation
. . 55
4.3.2
Orbifold notation
. 57
4.3.3
Why Are There Exactly
17
Wallpaper Groups?
. 78
4.3.4
Other Aspects of Topology in Physics
. 84
4.4
Three-Dimensional Point Groups
. 85
4.4.1
Face-centered Cubic (FCC) Lattices
. 85
4.4.2
Body-Centered Cubic (BCC) Lattices
. 88
4.4.3
A15 Lattices
. 89
4.5
Conceptual Framework of the Foam Model
. 90
4.6
The Kelvin Problem and the Kepler Conjecture
. 92
4.7
Conclusion
. 97
Geometry and Phase Transitions,
in Colloidal Crystals
101
5.
Lattice Free Energy via the Foam Model
103
5.1
Introduction
. 103
5.2
Bulk Free Energy
. 104
5.3
Interfacial
Free Energy
. 109
5.3.1
Charged Colloidal Crystals
. 109
Contents xiii
5.3.2
Fuzzy Colloidal Crystals
.
Ill
5.4
Conclusion
. 112
6.
Phases of Charged Colloidal Crystals
115
6.1
Introduction
. 115
6.2
Phase Transitions of Charged Colloids
. 117
6.3
Foam Analogy and Charged Colloids
. 119
6.4
Conclusion
. 120
7.
Elasticity of Colloidal Crystals
122
7.1
Introduction
. 122
7.2
Foam Analogy and Cubic Elastic Constants
. 124
7.3
Elasticity of Charged Colloidal Crystals
. 129
7.4
Elasticity of Fuzzy Colloids
. 137
7.5
Conclusion
. 143
Geometry and Phase Transitions,
in Topologically Constrained Polymers
145
8.
Topologically-Constrained Polymers in Theta Solution
147
8.1
Introduction
. 147
8.2
O(iV)-Symmetric
<¿>6-Theory
. 148
8.3
Chern-Simons Theory and Writhe
. 154
8.4
One-Loop Scaling of Closed Polymers
. 159
8.5
Two-Loop Results
. 163
8.6
Conclusion
. 170
Summary
175
9.
Final Thoughts
177
Index
179 |
| any_adam_object | 1 |
| author | Kung, William |
| author_GND | (DE-588)13890197X |
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| discipline | Physik Werkstoffwissenschaften Chemie |
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| language | English |
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| spelling | Kung, William Verfasser (DE-588)13890197X aut Geometry and phase transitions in colloids and polymers William Kung New Jersey [u.a.] World Scientific 2009 XXII, 191 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier World Scientific lecture notes in physics 79 Includes bibliographical references and index 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 Phasenumwandlung (DE-588)4132140-6 s Kolloid (DE-588)4164695-2 s Topologische Polymere (DE-588)4744530-0 s DE-604 Kristall (DE-588)4033209-3 s Geometrie (DE-588)4020236-7 s World Scientific lecture notes in physics 79 (DE-604)BV000819327 79 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017729082&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kung, William Geometry and phase transitions in colloids and polymers World Scientific lecture notes in physics 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 | 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 | Phase transformations (Statistical physics) Colloidal crystals Phase-transfer catalysts Phasenumwandlung Kristall Topologische Polymere Geometrie Kolloid |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017729082&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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