Polymer physics: applications to molecular association and thermoreversible gelation
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2011
|
| Schlagworte: | |
| Online-Zugang: | Cover image Inhaltsverzeichnis |
| Beschreibung: | XV, 387 S. Ill., graph. Darst. |
| ISBN: | 9780521864299 |
Internformat
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| 100 | 1 | |a Tanaka, Fumihiko |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Polymer physics |b applications to molecular association and thermoreversible gelation |c Fumihiko Tanaka |
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2011 | |
| 300 | |a XV, 387 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
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Datensatz im Suchindex
| _version_ | 1804149036302729216 |
|---|---|
| adam_text | Contents
Preface
page
xiii
Statistical properties of polymer chains
1
1.1
Conformation of polymers
1
1.1.1
Internal coordinates of a polymer chain and its hindered rotation
1
1.1.2
Coarse-grained models of polymer chains
3
1.2
The ideal chain
5
1.2.1
Single-chain partition function
5
1.2.2
Tension-elongation curve
8
1.2.3
Distribution of the end-to-end vector
10
1.3
Fundamental properties of a Gaussian chain 1
1
1.4
Effect of internal rotation and stiff chains
13
1.4.1
Characteristic ratio
13
1.4.2
Persistence length and the stiff chain
15
1.5
Excluded-volume effect
16
1.6
Scaling laws and the temperature blob model
19
1.7
Coil-globule transition of a polymer chain in a poor solvent
21
1.8
Coil-helix transition
23
1.9 Hydration
of polymer chains
33
1.9.1
Statistical models of hydrated polymer chains
33
1.9.2
Models of the globules and hydrated coils
38
1.9.3
Competitive hydrogen bonds in mixed solvents
39
References
44
Polymer solutions
46
2.1
Thermodynamics of phase equilibria
46
2.1.1
Gibbs phase rule and phase diagrams
46
2.1.2
Stability of a phase
48
2.1.3
Liquid-liquid separation by
a semipermeable
membrane
52
2.1.4
Spontaneous liquid-liquid phase separation
55
2.2
Characteristic properties of polymer solutions
57
2.2.1
Vapor pressure and osmotic pressure
58
viii Contents
2.2.2
Viscosity
61
2.2.3
Diffusion of a polymer chain
65
2.3
Lattice theory of polymer solutions
69
2.3.1
The free energy of mixing
69
2.3.2
Properties of polymer solutions predicted by Flory-Huggins
lattice theory
74
2.3.3
Extension to many-component polymer solutions and blends
79
2.3.4
Refinement beyond the simple mean field approximation
81
2.4
Scaling laws of polymer solutions
87
2.4.1
Overlap concentration
87
2.4.2
Correlation length
89
2.4.3
Radius of gyration
90
2.4.4
Osmotic pressure
91
2.4.5
Phase equilibria (reduced equation of states)
92
2.4.6
Molecular motion
94
References
95
Classical theory of gelation
97
3.1
What is a gel?
97
3.1.1
Definition of a gel
97
3.1.2
Classification of gels
97
3.1.3
Structure of gels and their characterization
98
3.1.4
Examples of gels
100
3.2
Classical theory of gelation
103
3.2.1
Random branching
104
3.2.2
Polycondensation
106
3.2.3 Polydisperse
functional monomers 111
3.2.4
Cross-linking of prepolymers
113
3.3
Gelation in binary mixtures
114
3.3.1
Finding the gel point using the branching coefficient
114
3.3.2
Molecular weight distribution function of the binary mixtures
RÍA/J/RÍB^}
116
3.3.3 Polydisperse
binary mixture R(A/ l/RfB^}
118
3.3.4
Gels with multiple junctions
119
3.A Moments of the Stockmayer distribution function
121
3.B Cascade theory of gelation
122
References
127
Elasticity of polymer networks
128
4.1
Thermodynamics of rubber elasticity
128
4.1.1
Energetic elasticity and
entropie
elasticity
128
4.1.2
Thermoelastic inversion
131
4.1.3
Gough-Joule effect
13
1
Contents
4.2 Affine
network
theory
133
4.2.1
Local structure of cross-linked rubbers
133
4.2.2
Affine
network theory
134
4.2.3
Elastically effective chains
139
4.2.4
Simple description of thermoelastic inversion
141
4.3
Phantom network theory
142
4.3.1 Micronetworks
of tree form
143
4.3.2
Fluctuation theorem and the elastic free energy
145
4.4
Swelling experiments
146
4.5
Volume transition of gels
150
4.5.1
Free swelling
153
4.5.2
Swelling under
uniaxial
elongation
154
4.6
Networks made up of nonlinear chains
156
References
159
Associating polymer solutions and thermoreversible gelation
160
5.1
Historical survey of the study of associating solutions
160
5.2
Statistical thermodynamics of associating polymers
161
5.2.1
Pregel regime
167
5.2.2
Sol-gel transition and postgel regime
168
5.3
Renormalization of the interaction parameters
168
5.4
Phase separation, stability limit, and other solution properties
169
5.5
Scattering function of associating polymer mixtures
170
5.
A Renormalization of the interaction parameters
173
5.
В
Scattering function in
RPA
175
5.C Spinodal condition in
RPA
177
References
178
Nongelling associating polymers
180
6.
1 Dimer formation as associated block-copolymers 1
80
6.2
Linear association and ring formation 1
86
6.3
Side-chain association
189
6.4
Hydration in aqueous polymer solutions and closed-loop
miscibility gaps
197
6.5
Cooperative hydration in solutions of temperature-responsive polymers
200
6.6
Hydrogen-bonded liquid-crystalline supramolecules
207
6.7
Polymeric micellization
212
References
219
Thermoreversible gelation
222
7.1
Models of thermoreversible gelation
222
7.2
Application of the classical theory of gelation
224
Contents
7.2.1 Pregel
regime
226
7.2.2
The gel point
227
7.2.3 Postgel
regime
228
7.2.4 Phase
diagrams of thermoreversible gels
232
7.3
Thermodynamics of sol-gel transition as compared
with Bose-Einstein condensation
233
7.4
Thermoreversible gels with multiple cross-linking
235
7.4.1
Multiple association
235
7.4.2
Distribution function of multiple trees
237
7.4.3
The average molecular weight and the condition for
the gel point
240
7.4.4
Solution properties of thermoreversible gels with multiple
junctions
242
7.4.5
Simple models of junction multiplicity
243
References
245
Structure of polymer networks
247
8.1
Local structure of the networks-cross-linking regions
247
8.2
Global structure of the networks
-
elastically effective
chains and elastic modulus
250
8.2.1
Fundamental parameters of the network topology
250
8.2.2
Structure parameters of multiplty cross-linked gels
252
8.2.3
The number of elastically effective chains
258
8.3
Percolation model
262
8.3.1
Percolation threshold
262
8.3.2
Distribution function of clusters
265
8.3.3
Percolation in one dimension
266
8.3.4
Site percolation on the Bethe lattice
268
8.4
Self-similarity and scaling laws
269
8.4.1
Static scaling laws
269
8.4.2
Viscoelastic scaling laws
273
8.5
Percolation in continuum media
276
8.5.1
Critical volume fraction of percolation
276
8.5.2
Gelation of sticky hard spheres (Baxter s problem)
277
References
279
Rheology of thermoreversible gels
281
9.1
Networks with temporal junctions
281
9.1.1
Models of transient networks
282
9.1.2
Equilibrium solutions
286
9.1.3
Stress-strain relation
289
9.1.4
Integral form of the equation
290
9.1.5
Generalization of the model
292
Contents
9.2 Linear
response
of transient networks
292
9.2.1
The Green-Tobolsky limit
295
9.2.2
Exponential dissociation rate
296
9.2.3
Power-law dissociation rate
297
9.2.4
Coupling to the tension
298
9.3
Stationary flows
299
9.3.1
GT limit and quadratic
β
300
9.3.2
Coupling to the tension
302
9.3.3
Expansion in powers of the shear rate
303
9.3.4
Elongational flows
305
9.4
Time-dependent flows
309
9.4.1
Transient flows of Gaussian networks in the GT limit
309
9.4.2
Start-up shear flows with tension-dissociation coupling
311
9.4.3
Nonlinear stress relaxation
316
9.A Expansion in powers of the shear rate and time
321
9.B Solvable model of the quadratic dissociation rate
322
9.B.
1
Start-up and stationary flows
323
9.B.2 Stress relaxation
328
References
329
10
Some important thermoreversible gels
331
10.1
Polymer-surfactant interaction
331
10.1.1
Modification of the gel point by surfactants
333
10.1.2
Surfactant binding isotherms
335
10.1.3
CMC of the surfactant molecules
336
10.1.4
High-frequency elastic modulus
338
10.2
Loop-bridge transition
339
10.3
Competing hydration and gelation
345
10.3.1
Models of competitive hydration and gelation
345
10.3.2
Degree of hydration and the gel point
349
10.4
Coexisting hydration and gelation
352
10.5
Thermoreversible gelation driven by polymer conformational change
359
10.5.1
Models of conformational transition
361
10.5.2
Theory of gelation with conformation change
363
10.5.3
Simple models of excitation
367
10.6
Thermoreversible gelation driven by the coil-helix
transition of polymers
370
10.6.1
Models of helix association
372
10.6.2
Multiple helices
374
10.6.3
Multiple association of single helices
378
References
379
Index
383
|
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| id | DE-604.BV040036876 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:16:38Z |
| institution | BVB |
| isbn | 9780521864299 |
| language | English |
| lccn | 2010051430 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024893658 |
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| owner_facet | DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-898 DE-BY-UBR DE-83 |
| physical | XV, 387 S. Ill., graph. Darst. |
| publishDate | 2011 |
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| publisher | Cambridge Univ. Press |
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| spelling | Tanaka, Fumihiko Verfasser aut Polymer physics applications to molecular association and thermoreversible gelation Fumihiko Tanaka Cambridge [u.a.] Cambridge Univ. Press 2011 XV, 387 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Gelieren (DE-588)4156459-5 gnd rswk-swf Polymere (DE-588)4046699-1 gnd rswk-swf Polymere (DE-588)4046699-1 s DE-604 Gelieren (DE-588)4156459-5 s http://assets.cambridge.org/97805218/64299/cover/9780521864299.jpg Cover image Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024893658&sequence=000004&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Tanaka, Fumihiko Polymer physics applications to molecular association and thermoreversible gelation Gelieren (DE-588)4156459-5 gnd Polymere (DE-588)4046699-1 gnd |
| subject_GND | (DE-588)4156459-5 (DE-588)4046699-1 |
| title | Polymer physics applications to molecular association and thermoreversible gelation |
| title_auth | Polymer physics applications to molecular association and thermoreversible gelation |
| title_exact_search | Polymer physics applications to molecular association and thermoreversible gelation |
| title_full | Polymer physics applications to molecular association and thermoreversible gelation Fumihiko Tanaka |
| title_fullStr | Polymer physics applications to molecular association and thermoreversible gelation Fumihiko Tanaka |
| title_full_unstemmed | Polymer physics applications to molecular association and thermoreversible gelation Fumihiko Tanaka |
| title_short | Polymer physics |
| title_sort | polymer physics applications to molecular association and thermoreversible gelation |
| title_sub | applications to molecular association and thermoreversible gelation |
| topic | Gelieren (DE-588)4156459-5 gnd Polymere (DE-588)4046699-1 gnd |
| topic_facet | Gelieren Polymere |
| url | http://assets.cambridge.org/97805218/64299/cover/9780521864299.jpg http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024893658&sequence=000004&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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