Phase transition dynamics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2007
|
| Ausgabe: | Digitally printed version |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke |
| Beschreibung: | X, 714 S. graph. Darst. |
| ISBN: | 9780521572934 9780521039055 |
Internformat
MARC
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|---|---|---|---|
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| 008 | 100614s2007 d||| |||| 00||| eng d | ||
| 020 | |a 9780521572934 |9 978-0-521-57293-4 | ||
| 020 | |a 9780521039055 |9 978-0-521-03905-5 | ||
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| 100 | 1 | |a Ōnuki, Akira |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Phase transition dynamics |c Akira Onuki |
| 250 | |a Digitally printed version | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2007 | |
| 300 | |a X, 714 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Hier auch später erschienene, unveränderte Nachdrucke | ||
| 650 | 0 | 7 | |a Phasenumwandlung |0 (DE-588)4132140-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Dynamik |0 (DE-588)4013384-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Phasenumwandlung |0 (DE-588)4132140-6 |D s |
| 689 | 0 | 1 | |a Dynamik |0 (DE-588)4013384-9 |D s |
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| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020422154&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-020422154 | ||
Datensatz im Suchindex
| _version_ | 1804143063802576896 |
|---|---|
| adam_text | Contents
Preface
page
ix
Part one: Statics
1
1
Spin systems and fluids
3
1.1
Spin models
3
1.2
One-component fluids
10
1.3
Binary fluid mixtures
23
Appendix
1
A Correlations with the stress tensor
30
References
32
2
Critical phenomena and scaling
34
2.1
General aspects
34
2.2
Critical phenomena in one-component fluids
45
2.3
Critical phenomena in binary fluid mixtures
53
2.4
4He
near the superfluid transition
66
Appendix 2A Calculation in non-azeotropic cases
74
References
75
3
Mean field theories
78
3.1
Landau theory
78
3.2
Tricritical behavior
84
3.3
Bragg-Williams approximation
90
3.4
van
der Waals
theory
99
3.5
Mean field theories for polymers and gels
104
Appendix
ЗА
Finite-strain theory
119
References
122
4
Advanced theories in statics
124
4.1
Ginzburg-Landau-Wilson free energy
124
4.2
Mapping onto fluids
133
4.3
Static renormalization group theory
144
4.4
Two-phase coexistence and surface tension
162
4.5
Vortices in systems with a complex order parameter
173
Appendix 4A Calculation of the critical exponent
η
178
Appendix 4B Random phase approximation for polymers
179
/і
Contents
Appendix 4C Renormalization
group equations for
n-component
systems
180
Appendix 4D Calculation of a free-energy correction
181
Appendix 4E Calculation of the structure factors
182
Appendix 4F Specific heat in two-phase coexistence
183
References
184
Part two: Dynamic models and dynamics in fluids and polymers
189
5
Dynamic models
191
5.1
Langevin
equation for a single particle
191
5.2
Nonlinear
Langevin
equations with many variables
198
5.3
Simple time-dependent Ginzburg-Landau models
203
5.4
Linear response
211
Appendix
5
A Derivation of the Fokker-Planck equation
217
Appendix 5B Projection operator method
217
Appendix 5C Time reversal symmetry in equilibrium time-correlation
functions
222
Appendix 5D Renormalization group calculation in purely dissipative
dynamics
222
Appendix 5E Microscopic expressions for the stress tensor and energy current
223
References
224
6
Dynamics in fluids
227
6.1
Hydrodynamic interaction in near-critical fluids
227
6.2
Critical dynamics in one-component fluids
237
6.3
Piston effect
252
6.4
Supercritical fluid hydrodynamics
265
6.5
Critical dynamics in binary fluid mixtures
271
6.6
Critical dynamics near the superfluid transition
281
6.7
4He near the superfluid transition in heat flow
298
Appendix 6A Derivation of the reversible stress tensor
307
Appendix 6B Calculation in the mode coupling theory
308
Appendix 6C Steady-state distribution in heat flow
309
Appendix 6D Calculation of the piston effect
310
References
3 ] ]
7
Dynamics in polymers and gels
317
7.1
Viscoelastic binary mixtures
317
7.2
Dynamics in gels
335
7.3
Heterogeneities in the network structure
351
Appendix 7A Single-chain dynamics in a polymer melt
359
Appendix 7B Two-fluid dynamics of polymer blends
З6О
Appendix 7C Calculation of the time-correlation function
362
Appendix 7D Stress tensor in polymer solutions
З62
Contents
vii
Appendix 7E Elimination
of the transverse degrees of freedom
363
Appendix 7F Calculation for weakly charged polymers
365
Appendix 7G Surface modes of
a uniaxial
gel
366
References
366
Part three: Dynamics of phase changes
371
8
Phase ordering and defect dynamics
373
8.1
Phase ordering in nonconserved systems
373
8.2
Interface dynamics in nonconserved systems
389
8.3
Spinodal decomposition in conserved systems
400
8.4
Interface dynamics in conserved systems
407
8.5
Hydrodynamic interaction in fluids
421
8.6
Spinodal decomposition and boiling in one-component fluids
432
8.7
Adiabatic spinodal decomposition
437
8.8
Periodic spinodal decomposition
440
8.9
Viscoelastic spinodal decomposition in polymers and gels
444
8.10
Vortex motion and mutual friction
453
Appendix 8A Generalizations and variations of the
Porod
law
469
Appendix 8B The pair correlation function in the nonconserved case
473
Appendix 8C The Kawasaki-Yalabik-Gunton theory applied to periodic
quench
474
Appendix 8D The structure factor tail for
« = 2 475
Appendix 8E Differential geometry
476
Appendix 8F Calculation in the Langer-Bar-on-Miller theory
477
Appendix 8G The Stefan problem for a sphere and a circle
478
Appendix 8H The velocity and pressure close to the interface
479
Appendix
81
Calculation of vortex motion
480
References
482
9
Nucleation
488
9.1
Droplet evolution equation
488
9.2
Birth of droplets
499
9.3
Growth of droplets
506
9.4
Nucleation in one-component fluids
518
9.5
Nucleation at very low temperatures
530
9.6
Viscoelastic nucleation in polymers
533
9.7
Intrinsic critical velocity in superfluid helium
538
Appendix 9A Relaxation to the steady droplet distribution
543
Appendix 9B The nucleation rate near the critical point
544
Appendix 9C The asymptotic scaling functions in droplet growth
545
Appendix 9D Moving domains in the dissipative regime
546
Appendix 9E Piston effect in the presence of growing droplets
547
viii
Contents
Appendix 9F Calculation of the quantum decay rate
547
References
548
10
Phase transition dynamics in solids
552
10.1
Phase separation in
isotropie
elastic theory
556
10.2
Phase separation in cubic solids
577
10.3
Order-disorder and improper martensitic phase transitions
584
10.4
Proper martensitic transitions
593
10.5
Macroscopic instability
615
10.6
Surface instability
622
Appendix 10A Elimination of the elastic field
625
Appendix 10B Elastic deformation around an ellipsoidal domain
629
Appendix IOC Analysis of the
Jahn-Teller
coupling
630
Appendix 10D Nonlocal interaction in 2D elastic theory
631
Appendix 10E Macroscopic modes of a sphere
632
Appendix 10F Surface modes on a planar surface
635
References
635
11
Phase transitions of fluids in shear flow
641
11.1
Near-critical fluids in shear
642
11.2
Shear-induced phase separation
668
11.3
Complex fluids at phase transitions in shear flow
684
11.4
Supercooled liquids in shear flow
686
Appendix
11
.A Correlation functions in velocity gradient
700
References
701
Index
710
|
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| author | Ōnuki, Akira |
| author_facet | Ōnuki, Akira |
| author_role | aut |
| author_sort | Ōnuki, Akira |
| author_variant | a ō aō |
| building | Verbundindex |
| bvnumber | BV036499703 |
| classification_rvk | UG 3800 |
| ctrlnum | (OCoLC)263666606 (DE-599)HBZHT015498883 |
| discipline | Physik |
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| format | Book |
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| id | DE-604.BV036499703 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:41:43Z |
| institution | BVB |
| isbn | 9780521572934 9780521039055 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020422154 |
| oclc_num | 263666606 |
| open_access_boolean | |
| owner | DE-703 DE-19 DE-BY-UBM DE-384 |
| owner_facet | DE-703 DE-19 DE-BY-UBM DE-384 |
| physical | X, 714 S. graph. Darst. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| spelling | Ōnuki, Akira Verfasser aut Phase transition dynamics Akira Onuki Digitally printed version Cambridge [u.a.] Cambridge Univ. Press 2007 X, 714 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Hier auch später erschienene, unveränderte Nachdrucke Phasenumwandlung (DE-588)4132140-6 gnd rswk-swf Dynamik (DE-588)4013384-9 gnd rswk-swf Phasenumwandlung (DE-588)4132140-6 s Dynamik (DE-588)4013384-9 s DE-604 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020422154&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ōnuki, Akira Phase transition dynamics Phasenumwandlung (DE-588)4132140-6 gnd Dynamik (DE-588)4013384-9 gnd |
| subject_GND | (DE-588)4132140-6 (DE-588)4013384-9 |
| title | Phase transition dynamics |
| title_auth | Phase transition dynamics |
| title_exact_search | Phase transition dynamics |
| title_full | Phase transition dynamics Akira Onuki |
| title_fullStr | Phase transition dynamics Akira Onuki |
| title_full_unstemmed | Phase transition dynamics Akira Onuki |
| title_short | Phase transition dynamics |
| title_sort | phase transition dynamics |
| topic | Phasenumwandlung (DE-588)4132140-6 gnd Dynamik (DE-588)4013384-9 gnd |
| topic_facet | Phasenumwandlung Dynamik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020422154&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT onukiakira phasetransitiondynamics |