Critical phenomena in liquids and liquid crystals:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
Philadelphia u.a.
Gordon and Breach Science Publ.
1991
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus d. Russ. übers. |
| Physical Description: | XVI, 431 S. graph. Darst. |
| ISBN: | 2881248063 |
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MARC
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| 240 | 1 | 0 | |a Kritičeskie javlenija v židkostjach i židkich kristallach |
| 245 | 1 | 0 | |a Critical phenomena in liquids and liquid crystals |c Mikhail A. Anisimov |
| 264 | 1 | |a Philadelphia u.a. |b Gordon and Breach Science Publ. |c 1991 | |
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| adam_text | Titel: Critical phenomena in liquids and liquid crystals
Autor: Anisimov, Michail A
Jahr: 1991
Contents
Preface to the English Edition xi
Preface to the Russian Edition xiii
Chapter 1. Thermodynamics of Critical Phenomena 1
1.1. Phase diagrams. Analogy between the critical point of
a fluid and other second-order phase transitions 1
1.2. Choice of thermodynamic variables. Determination of
the order parameter 9
1.3. Classical theory of critical phenomena 13
1.4. Role of fluctuations and the range of validity of the
classical theory 19
Chapter 2. Modern Ideas on the Nature of Critical
Phenomena 25
2.1. Critical exponents and the hypothesis of the
homogeneity of thermodynamic quantities 25
2.2. Scaling hypothesis 31
2.3. Universality of critical exponents 35
2.4. Scaled equation of state 38
2.5. Corrections to the asymptotic scaling laws. Liquid-gas
asymmetry in a real fluid 44
2.6. Dynamic scaling 51
Chapter 3. Isomorphism of Critical Phenomena 63
3.1. Isomorphism hypothesis 63
3.2. Isomorphism of critical phenomena in mixtures 65
3.3. Renormalization of critical exponents in the vicinity of
the liquid-gas critical point of a mixture 68
3.4. Dilute solutions 72
3.5. Solutions of isotopes 76
3.6. Liquid-liquid consolute points 78
3.7. Specific points on a critical line 84
3.8. The X transition in liquid helium and Curie points of
compressible ferromagnetics 86
3.9. Isomorphism of transport properties 90
vi Contents
3.10. Propagation of sound in mixtures in the vicinity of
consolute points 96
Chapter 4. Features of Experimental Procedures for the
Study of Critical Phenomena 103
4.1. External perturbations in a system with extremely large
susceptibility 103
4.2. Equilibrium and frozen-in impurities 106
4.3. Gravitational (hydrostatic) effect 109
4.4. Temperature gradients 114
4.5. Stirring and convection 117
4.6. Features of fitting and interpretation of experimental
results in a critical region 121
4.7. Use of modern statistical methods in the analysis of
experimental data 125
4.8. Some features of the performance of calorimetric
studies of critical points 127
4.9. Critical opalescence 135
4.10. Effects of multiple light scattering 140
Chapter 5. Critical Exponents and Critical Amplitudes:
Results of Experimental Studies 151
5.1. Heat capacity 151
5.2. Coexistence curve 156
5.3. Susceptibility and correlation function 163
5.4. Verification of the universal relations between critical
exponents and critical amplitudes 170
5.5. Are the critical exponents of real fluids universal? 173
5.6. Renormalization of critical exponents in mixtures 175
Chapter 6. Equation of State in a Wide Neighborhood of a
Liquid-Gas Critical Point 185
6.1. Universal zeroth-order approximation 185
6.2. Scaled equation of state in a wide neighborhood of the
critical point 190
6.3. On the possibility of converging the scaled equation of
state and the virial expansion 195
6.4. A universal scaled equation of state for a binary
mixture in a wide neighborhood of the liquid-gas
critical point 199
6.4.1. Behavior of thermodynamic properties 204
Contents vii
6.4.2. Universal scaling function 208
6.4.3. Fitting of experiments 210
Chapter 7. Results of the Study of Critical Dynamics 219
7.1. Transport properties 219
7.2. Scaling function for the thermal conductivity 223
7.3. Acoustic relaxation in the critical region 229
7.4. Dynamic critical exponent 234
Chapter 8. Structural Transformations in Liquid Solutions 239
8.1. Specific heat anomaly in aqueous solutions of
t-butanol 239
8.2. Model of the solution and the nature of the structural
phase transformation 245
8.3. Micellization as a phase transition 251
8.3.1. Thermodynamics 253
8.3.2. Analogy with second-order transition 255
8.3.3. Tricritical point 260
Chapter 9. Phase Transitions with Coupled Order Parameters 263
9.1. Multicritical points 263
9.2. Phenomenology of multicritical behavior: Landau
theory 268
9.3. Tricritical point on the X-transition line in a 3He-4He
mixture 278
9.4. Range of validity of mean-field theory in the
neighborhood of a tricritical point 281
9.5. Phenomenology of multicritical behavior: scaling and
crossover 283
9.6. Basic results of the fluctuation theory of tricritical
points 285
9.7. Results of experimental studies of tricritical points 289
9.8. Frustrated multicritical behavior 298
9.8.1. The triple intersection point of the
orientational phase transition lines in
ammonium bromide 298
9.8.2. Effect of the metal-insulator transition on the
critical state of a conducting liquid 299
Chapter 10. Critical Phenomena in Thermotropic Liquid
Crystals 305
10.1. Introduction 305
viii Contents
10.2. Landau-de Gennes theory 306
10.2.1. Nematic phase 306
10.2.2. Smectic A phase 316
10.2.3. Smectic C phase 320
10.2.4. Mean-field models for coupled order
parameters 320
10.3. Basic results of fluctuation theory 324
10.3.1. Nematic fluctuations 324
10.3.2. Smectic fluctuations 329
10.3.3. Smectic fluctuations near specific points of a
phase diagram 331
10.4. Statics near nematic-isotropic phase transitions 335
10.4.1. Order parameter 335
10.4.2. Susceptibility 338
10.4.3. Heat capacity 341
10.4.4. Influence of nonmesogenic impurities on NI
transitions 347
10.5. Influence of smectic fluctuations on pretransitional
behavior in the isotropic phase 351
10.6. Universality of critical dynamics in the neighborhood
of the nematic-isotropic phase transition 359
10.6.1. Sound absorption and dispersion of sound
velocity 359
10.6.2. Mean-field approximation 365
10.6.3. Dynamic scaling 367
10.6.4. Functions describing acoustic relaxation:
relaxation time, critical amplitudes and
universal scaling functions 369
10.7. Nature of nematic-isotropic critical phenomena 373
10.8. Experimental study of nematic-smectic A transitions 375
10.8.1. Specific heat anomaly and the order of the
NA transition 375
10.8.2. Evidence of the Halperin-Lubensky-Ma
effect for the NA transition 384
10.8.3. Correlation properties near NA transitions 389
10.9. Experimental study of smectic A-smectic C transitions 393
10.10. Nature of the nematic-smectic A-smectic C
multicritical point 395
10.10.1. NC transition line 397
10.10.2. AC transition line 400
10.10.3. NA transition line 404
Contents ix
10.10.4. An alternative universality of the NAC-point
topology 405
10.11. Conclusion 408
Appendix: Liquid crystal abbreviations 408
References 410
Index 429
|
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| spelling | Anisimov, Michail A. Verfasser aut Kritičeskie javlenija v židkostjach i židkich kristallach Critical phenomena in liquids and liquid crystals Mikhail A. Anisimov Philadelphia u.a. Gordon and Breach Science Publ. 1991 XVI, 431 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Aus d. Russ. übers. Cristaux liquides ram Liquides ram Phénomènes critiques (physique) ram Critical phenomena (Physics) Liquid crystals Liquids Kritisches Phänomen (DE-588)4165788-3 gnd rswk-swf Flüssigkeit (DE-588)4017621-6 gnd rswk-swf Flüssigkristall (DE-588)4071279-5 gnd rswk-swf Flüssiges System (DE-588)4154701-9 gnd rswk-swf Flüssigkristall (DE-588)4071279-5 s Kritisches Phänomen (DE-588)4165788-3 s DE-604 Flüssiges System (DE-588)4154701-9 s Flüssigkeit (DE-588)4017621-6 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003152677&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Anisimov, Michail A. Critical phenomena in liquids and liquid crystals Cristaux liquides ram Liquides ram Phénomènes critiques (physique) ram Critical phenomena (Physics) Liquid crystals Liquids Kritisches Phänomen (DE-588)4165788-3 gnd Flüssigkeit (DE-588)4017621-6 gnd Flüssigkristall (DE-588)4071279-5 gnd Flüssiges System (DE-588)4154701-9 gnd |
| subject_GND | (DE-588)4165788-3 (DE-588)4017621-6 (DE-588)4071279-5 (DE-588)4154701-9 |
| title | Critical phenomena in liquids and liquid crystals |
| title_alt | Kritičeskie javlenija v židkostjach i židkich kristallach |
| title_auth | Critical phenomena in liquids and liquid crystals |
| title_exact_search | Critical phenomena in liquids and liquid crystals |
| title_full | Critical phenomena in liquids and liquid crystals Mikhail A. Anisimov |
| title_fullStr | Critical phenomena in liquids and liquid crystals Mikhail A. Anisimov |
| title_full_unstemmed | Critical phenomena in liquids and liquid crystals Mikhail A. Anisimov |
| title_short | Critical phenomena in liquids and liquid crystals |
| title_sort | critical phenomena in liquids and liquid crystals |
| topic | Cristaux liquides ram Liquides ram Phénomènes critiques (physique) ram Critical phenomena (Physics) Liquid crystals Liquids Kritisches Phänomen (DE-588)4165788-3 gnd Flüssigkeit (DE-588)4017621-6 gnd Flüssigkristall (DE-588)4071279-5 gnd Flüssiges System (DE-588)4154701-9 gnd |
| topic_facet | Cristaux liquides Liquides Phénomènes critiques (physique) Critical phenomena (Physics) Liquid crystals Liquids Kritisches Phänomen Flüssigkeit Flüssigkristall Flüssiges System |
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