Polymers near surfaces: conformation properties and relation to critical phenomena
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore u.a.
World Scientific
1993
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 412 S. graph. Darst. |
| ISBN: | 9810205953 |
Internformat
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| 245 | 1 | 0 | |a Polymers near surfaces |b conformation properties and relation to critical phenomena |c Erich Eisenriegler |
| 264 | 1 | |a Singapore u.a. |b World Scientific |c 1993 | |
| 300 | |a X, 412 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 7 | |a Mécanique statistique |2 ram | |
| 650 | 7 | |a Oppervlakken |2 gtt | |
| 650 | 7 | |a Phénomènes critiques (physique) |2 ram | |
| 650 | 7 | |a Polymeren |2 gtt | |
| 650 | 7 | |a Polymères - Conformation |2 ram | |
| 650 | 7 | |a Polymères - Surfaces |2 ram | |
| 650 | 7 | |a Solutions de polymère |2 ram | |
| 650 | 4 | |a Polymer solutions | |
| 650 | 4 | |a Polymers |x Surfaces | |
| 650 | 0 | 7 | |a Oberflächeneigenschaft |0 (DE-588)4219221-3 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804123236485562368 |
|---|---|
| adam_text | Titel: Polymers near surfaces
Autor: Eisenriegler, Erich
Jahr: 1993
Contents
Preface v
1. Introduction 1
1.1. The Critical Behavior of Polymers Near Surfaces 3
2. Ideal Chain on a One-dimensional Lattice 11
2.1. Infinite Space 11
2.2. Semi-infinite Space 15
2.2.1. No surface adsorption energy 15
2.2.2. Influence of surface adsorption energy 17
3. Ideal Chain - Continuum Description 24
3.1. Gaussian Chain in Infinite Space Subject to an External Potential 24
3.2. Continuous Chain in Half Space 30
3.3. Long Chains Near the Compensation Point 41
3.4. Adsorption of (Ideal) Ring Polymers 52
4. Conformations of a Real Chain in Infinite Homogeneous Space 54
4.1. Cluster Expansion 55
4.2. Rules for Cluster Expansion of Laplace Transformed Chain
Partition Function 62
4.3. Problems with the Continuum Limit and Different Types of
Regularization 64
4.4. Relation to Field Theory 66
4.5. Field Theory and Critical Behavior 72
4.5.1. Phenomenology 72
4.5.2. Renormalization 80
4.5.3. Renormalization-group equations 100
viü Contents
4.6. Renormalization and Renormalization-group Equations for Polymer
Quantities 104
4.7. Ring Polymers, Open Chains with Close Ends and Short Distance
Expansions 115
4.7.1. Partition function of a ring polymer 116
4.7.2. Open chain with close ends 117
4.7.3. Operator short distance expansion 119
4.7.4. Renormalization flow for the short distance function £vï;v,v
and open chains with close ends revisited 133
Appendix 4A. Low Order Diagrams, Their Divergent Subintegrations and
Final Divergencies 135
Appendix 4B. Evaluation of the Amplitude Ratio (R^)/(R2) 144
5. Polymer Chain in Good Solvent; Conformations Near a Boundary 149
5.1. Cluster Expansion and Mapping to Field Theory for a Chain in
Half Space 150
5.2. Renormalization Flow Near the Adsorption Threshold: Choice of
Hamiltonian 156
5.3. Renormalization for Good Solvents 163
5.4. Renormalization Group Equations (RGE s) for Polymer Quantities 178
5.5. Excluded Volume Effects in Polymer Adsorption 182
5.5.1. Chain with one end fixed at a distance zA from surface;
partition function %L{zA b2) at c - cads 183
5.5.2. Free end distribution of surface grafted chain 190
5.5.3. Monomer density for a dilute monodisperse solution of
chains at c = cads 192
5.5.4. Ring polymer at adsorption point 194
5.5.5. Monomer density near a grafted end 197
5.5.6. Crossover to adsorbed state 199
5.6. Polymer near a Pure Hard Wall and Threshold to Nonadsorbed
Crossover 203
5.6.1. Renormalization and SDE s of the c = + co theory 204
5.6.2. Polymer properties near a pure hard wall: partition function
%{^ zA) of a chain with one end fixed, monomer density
~(w(r) os of a dilute solution and partition function
^ooiVz) °f a ring polymer with one monomer fixed 208
5.6.3. Chain with one end fixed close to a hard wall: layered
distributions % ^) for the free end position and mA (cö) for
the monomer number 212
Contents ix
5.6.4. Threshold-nonadsorbed crossover 218
5.7. Is the Short Range Model Realistic? 222
Appendix 5A. Short Distance (SD) Expansions Near Adsorption
Threshold (Special Transition) 228
Appendix 5B. Short Distance Expansions for a Pure Hard Wall
(c= + °°) 234
Appendix 5C. Ward Identity (WI) for a Pure Hard Wall (r = + x) 242
6. B-polymers Near a Boundary 250
6.1. ( »-polymer in Bulk 250
6.2. Hamiltonian for Adsorption and Renormalization Group Equations
for Polymer Partition Functions 254
6.3. Renormalization Flow and Behavior of (M)-polymers at
theAdsorption Point 263
6.4. 0-polymer Near a Pure Hard Wall 272
Appendix 6A. Surface Renormalization Factors for Adsorption Threshold 276
Appendix 6B. Logarithmic Corrections for a 8 Chain in the Bulk 283
7. Polymer in Two-dimensional Half Space Bounded by a Line 287
7.1. The «-vector Model 287
7.2. Conformai Invariance of Unbounded Critical Systems 297
7.2.1. Coordinate transformations and the stress tensor 297
7.2.2. The Virasoro algebra 311
7.2.3. Conformai charge and Casimir effect 315
7.2.4. Degenerate fields 319
7.2.5. Fusion rules 327
7.2.6. Four point functions of degenerate fields 332
7.2.7. Self avoiding ring polymers in unbounded two-dimensional
space 343
7.3. Conformai Invariance of Semi-infinite Critical Systems and
Polymers Near Surfaces 346
7.3.1. Coordinate transformations and stress tensor in half space 346
7.3.2. Consequences of special conformai invariance 349
7.3.3. Correlation functions in the half plane for degenerate fields 353
7.3.4. Energy correlations in the «-vector model 361
7.3.5. Self avoiding polymers near surfaces: crossover exponent
for adsorption and ring polymers near a pure hard wall 364
7.3.6. Other surface exponents for polymers 366
x Contents
Appendix 7A. Conformai Invariance and Real Space Renormalization 372
Appendix 7B. Special Conformai Invariance, Form of Primary
Correlation Functions and Structure Constants in Short
Distance Expansions 378
Appendix 7C. Stress Tensor for a Gaussian Field Theory with d 2 in
Unbounded Bulk and Half-Space 384
8. Further Interesting Topics 390
8.1. Collapse and Adsorption 390
8.2. Overlapping Chains 391
8.3. Other Geometries 392
8.4. Branched Polymers Near a Surface 393
8.5. Polymers Near a Dirty Wall 394
References 397
Index 407
|
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| id | DE-604.BV008880706 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:26:34Z |
| institution | BVB |
| isbn | 9810205953 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005874209 |
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| publishDate | 1993 |
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| publisher | World Scientific |
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| spelling | Eisenriegler, Erich Verfasser aut Polymers near surfaces conformation properties and relation to critical phenomena Erich Eisenriegler Singapore u.a. World Scientific 1993 X, 412 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mécanique statistique ram Oppervlakken gtt Phénomènes critiques (physique) ram Polymeren gtt Polymères - Conformation ram Polymères - Surfaces ram Solutions de polymère ram Polymer solutions Polymers Surfaces Oberflächeneigenschaft (DE-588)4219221-3 gnd rswk-swf Polymere (DE-588)4046699-1 gnd rswk-swf Kritisches Phänomen (DE-588)4165788-3 gnd rswk-swf Polymere (DE-588)4046699-1 s Oberflächeneigenschaft (DE-588)4219221-3 s Kritisches Phänomen (DE-588)4165788-3 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005874209&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Eisenriegler, Erich Polymers near surfaces conformation properties and relation to critical phenomena Mécanique statistique ram Oppervlakken gtt Phénomènes critiques (physique) ram Polymeren gtt Polymères - Conformation ram Polymères - Surfaces ram Solutions de polymère ram Polymer solutions Polymers Surfaces Oberflächeneigenschaft (DE-588)4219221-3 gnd Polymere (DE-588)4046699-1 gnd Kritisches Phänomen (DE-588)4165788-3 gnd |
| subject_GND | (DE-588)4219221-3 (DE-588)4046699-1 (DE-588)4165788-3 |
| title | Polymers near surfaces conformation properties and relation to critical phenomena |
| title_auth | Polymers near surfaces conformation properties and relation to critical phenomena |
| title_exact_search | Polymers near surfaces conformation properties and relation to critical phenomena |
| title_full | Polymers near surfaces conformation properties and relation to critical phenomena Erich Eisenriegler |
| title_fullStr | Polymers near surfaces conformation properties and relation to critical phenomena Erich Eisenriegler |
| title_full_unstemmed | Polymers near surfaces conformation properties and relation to critical phenomena Erich Eisenriegler |
| title_short | Polymers near surfaces |
| title_sort | polymers near surfaces conformation properties and relation to critical phenomena |
| title_sub | conformation properties and relation to critical phenomena |
| topic | Mécanique statistique ram Oppervlakken gtt Phénomènes critiques (physique) ram Polymeren gtt Polymères - Conformation ram Polymères - Surfaces ram Solutions de polymère ram Polymer solutions Polymers Surfaces Oberflächeneigenschaft (DE-588)4219221-3 gnd Polymere (DE-588)4046699-1 gnd Kritisches Phänomen (DE-588)4165788-3 gnd |
| topic_facet | Mécanique statistique Oppervlakken Phénomènes critiques (physique) Polymeren Polymères - Conformation Polymères - Surfaces Solutions de polymère Polymer solutions Polymers Surfaces Oberflächeneigenschaft Polymere Kritisches Phänomen |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005874209&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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