Theory of simple liquids: with applications to soft matter
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam [u.a.]
Elsevier Acad. Press
2013
|
| Ausgabe: | 4. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke |
| Beschreibung: | XV, 619 S. graph. Darst. |
| ISBN: | 0123870321 9780123870322 |
Internformat
MARC
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| 245 | 1 | 0 | |a Theory of simple liquids |b with applications to soft matter |c Jean-Pierre Hansen ; Ian R. McDonald |
| 250 | |a 4. ed. | ||
| 264 | 1 | |a Amsterdam [u.a.] |b Elsevier Acad. Press |c 2013 | |
| 300 | |a XV, 619 S. |b graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1804150685461118976 |
|---|---|
| adam_text | Contents
Preface
to the Fourth Edition
ix
Preface to the Third Edition
xi
Preface to the Second Edition
xiii
Preface to the First Edition
xv
1.
Introduction
1
1.1
The Liquid State
1
1.2
Intermolecular Forces and Model Potentials
4
1.3
Experimental Methods
10
References
11
2.
Statistical Mechanics
13
2.1
Time Evolution and Kinetic Equations
13
2.2
Time Averages and Ensemble Averages
20
2.3
Canonical and Isothermal-lsobaric Ensembles
23
2.4
The Grand Canonical Ensemble and Chemical Potential
26
2.5
Particle Densities and Distribution Functions
32
2.6
Particle Densities in the Grand Canonical Ensemble
38
2.7
Molecular Dynamics Simulation
41
2.8
Monte Carlo Methods
51
References
58
3.
Static Properties of Liquids: Thermodynamics
and Structure
61
3.1
A Fluid in an External Field
61
3.2
Functionate and Functional Differentiation
64
3.3
Functional Derivatives of the Grand Potential
68
3.4
Density Functional Theory
70
3.5
Direct Correlation Functions
72
3.6
The Density Response Function
77
3.7
Diagrammatic Methods
80
3.8
Diagrammatic Expansions of the Direct Correlation Functions
87
3.9
Virial Expansion of the Equation of State
90
3.10
Binary Systems
96
References
103
4.
Distribution Function Theories
105
4.1
The Static Structure Factor
105
4.2
The YBG Hierarchy and the Born-Green Equation
110
Contents
4.3
Functional Expansions and Integral Equations
112
4.4
The Percus-Yevick Equation
117
4.5
The Mean Spherical Approximation
123
4.6
Diagrammatic Expansions of the Pair Functions
125
4.7
Extensions of Integral Equations
133
4.8
Asymptotic Decay of the Pair Correlation Function
139
References
145
Perturbation Theory
149
5.1
Introduction: The van
der Waals
Model
149
5.2
The
λ
-Expansion
151
5.3
Singular Perturbations: The r-Expansion
157
5.4
Soft-Core Reference Systems
161
5.5
An Example: The Lennard-Jones Fluid
168
5.6
Treatment of Attractive Forces
173
5.7
Mean Field Theory of Liquid-Vapour Coexistence
182
5.8
Scaling Concepts and Hierarchical Reference Theory
190
References
199
6.
Inhomogeneous Fluids
203
6.1
Liquids at Interfaces
203
6.2
Approximate Free Energy Functionais
207
6.3
The Liquid-Vapour Interface
213
6.4
A Microscopic Expression for the Surface Tension
216
6.5
Fundamental Measure Theory
219
6.6
Confined Fluids
226
6.7
Density Functional Theory of Wetting
231
6.8
Density Functional Theory of Freezing
241
6.9
Fluids Adsorbed in Porous Media
247
6.10
Thermodynamics of Glasses
255
References
262
7.
Time-dependent Correlation and Response
Functions
265
7.1
General Properties of Time Correlation Functions
265
7.2
An Illustration: The Velocity Autocorrelation Function
and Self-Diffusion
270
7.3
Brownian Motion and a Generalised
Langevin
Equation
277
7.4
Correlations in Space and Time
283
7.5
Inelastic Scattering of Neutrons and X-Rays
290
7.6
Linear Response Theory
297
7.7
Applications of the Linear Response Formalism
304
References
309
Contents
8.
Hydrodynamics and
Transport
Coefficients
311
8.1
Thermal Fluctuations
at Long Wavelengths and Low
Frequencies
311
8.2
Space-Dependent Self
Motion
314
8.3
The Navier-Stokes Equation and Hydrodynamic
Collective Modes
317
8.4
Transverse Current Correlations
322
8.5
Longitudinal Collective Modes
327
8.6
Generalised Hydrodynamics
336
8.7
Long-Time Tails in Time Correlation Functions
340
8.8
Dynamics of Supercooled Liquids
345
8.9
Flow of Liquids at the Interface with a Solid
355
References
360
9.
Theories of Time Correlation Functions
363
9.1
The Projection Operator Formalism
363
9.2
Self Correlation Functions
369
9.3
Transverse Collective Modes
375
9.4
Density Fluctuations
379
9.5
Mode Coupling Theory I. The Velocity Autocorrelation
Function
388
9.6
Mode Coupling Theory II. The Kinetic Glass Transition
393
References
400
10.
Ionic Liquids
403
10.1
Classes and Models of Ionic Liquids
403
10.2
Screening and Charge Ordering
408
10.3
Integrai
Equation Theories
416
10.4
Frequency-Dependent Electric Response
423
10.5
Microscopic Dynamics in Molten Salts
430
10.6
The Electric Double Layer
435
10.7
Liquid Metals: Electrons and ions
443
10.8
Ionic Dynamics in Liquid Metals
449
References
452
11.
Molecular Liquids
455
11.1
The Molecular Pair Distribution Function
455
11.2
Expansions of the Pair Distribution Function
458
11.3
Site-Site Distribution Functions
460
11.4
Correlation Function Expansions for Simple Polar Fluids
467
11.5
The Static Dielectric Constant
471
11.6
Integrai
Equation Approximations for Dipolar Hard Spheres
477
11.7
Interaction-Site Diagrams
483
11.8
Interaction-Site Models: The RISM Equations
486
Contents
11.9
Angular
Correlations and the RISM Formalism
489
11.10
Associating Liquids
492
11.11
Reorientational Time-Correlation Functions
500
References
507
12.
Applications to Soft Matter
511
12.1
Coarse Graining and Effective Interactions
511
12.2
Polymer Solutions
514
12.3
Polymer Melts
524
12.4
Colloidal Dispersions
529
12.5
Colloid-Polymer Mixtures
533
12.6
Charge-Stabilised Colloids
540
12.7
Colloidal Liquid Crystals
548
12.8
Clustering and Gelation
557
12.9
The Fokker-Planck and Smoluchowski Equations
564
12.10
Dynamical Density Functional Theory
574
References
580
Appendix A Fluctuations
585
Appendix
В
Two Theorems in Density Functional Theory
587
Appendix
С
Lemmas on Diagrams
591
Appendix
D
Solution of the PY Equation for Hard Spheres
595
Appendix
E
Scaled Particle Theory
599
Appendix
F
An Exact Integral Equation for/?(1)(r)
601
Appendix
G
Some Basic Properties of Polymers
603
Appendix
H
Density Profile of a Polymer Brush
609
Index
611
FOURTH EDITION
with Applications to Soft Matter
Comprehensive coverage of topics in the theory of classical liquids
Elsevier
í SEVIER
viencom
|
| any_adam_object | 1 |
| author | Hansen, Jean-Pierre 1942- McDonald, Ian R. |
| author_GND | (DE-588)138359059 (DE-588)138358931 |
| author_facet | Hansen, Jean-Pierre 1942- McDonald, Ian R. |
| author_role | aut aut |
| author_sort | Hansen, Jean-Pierre 1942- |
| author_variant | j p h jph i r m ir irm |
| building | Verbundindex |
| bvnumber | BV041237420 |
| classification_rvk | UR 1000 |
| ctrlnum | (OCoLC)859378268 (DE-599)BVBBV041237420 |
| dewey-full | 530.4/2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.4/2 |
| dewey-search | 530.4/2 |
| dewey-sort | 3530.4 12 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 4. ed. |
| format | Book |
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| spelling | Hansen, Jean-Pierre 1942- Verfasser (DE-588)138359059 aut Theory of simple liquids with applications to soft matter Jean-Pierre Hansen ; Ian R. McDonald 4. ed. Amsterdam [u.a.] Elsevier Acad. Press 2013 XV, 619 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Hier auch später erschienene, unveränderte Nachdrucke Flüssigkeit - Kinetische Theorie Liquids Theorie (DE-588)4059787-8 gnd rswk-swf Flüssigkeit (DE-588)4017621-6 gnd rswk-swf Physik (DE-588)4045956-1 gnd rswk-swf Flüssigkeit (DE-588)4017621-6 s Physik (DE-588)4045956-1 s DE-604 Theorie (DE-588)4059787-8 s McDonald, Ian R. Verfasser (DE-588)138358931 aut Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026211669&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026211669&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Hansen, Jean-Pierre 1942- McDonald, Ian R. Theory of simple liquids with applications to soft matter Flüssigkeit - Kinetische Theorie Liquids Theorie (DE-588)4059787-8 gnd Flüssigkeit (DE-588)4017621-6 gnd Physik (DE-588)4045956-1 gnd |
| subject_GND | (DE-588)4059787-8 (DE-588)4017621-6 (DE-588)4045956-1 |
| title | Theory of simple liquids with applications to soft matter |
| title_auth | Theory of simple liquids with applications to soft matter |
| title_exact_search | Theory of simple liquids with applications to soft matter |
| title_full | Theory of simple liquids with applications to soft matter Jean-Pierre Hansen ; Ian R. McDonald |
| title_fullStr | Theory of simple liquids with applications to soft matter Jean-Pierre Hansen ; Ian R. McDonald |
| title_full_unstemmed | Theory of simple liquids with applications to soft matter Jean-Pierre Hansen ; Ian R. McDonald |
| title_short | Theory of simple liquids |
| title_sort | theory of simple liquids with applications to soft matter |
| title_sub | with applications to soft matter |
| topic | Flüssigkeit - Kinetische Theorie Liquids Theorie (DE-588)4059787-8 gnd Flüssigkeit (DE-588)4017621-6 gnd Physik (DE-588)4045956-1 gnd |
| topic_facet | Flüssigkeit - Kinetische Theorie Liquids Theorie Flüssigkeit Physik |
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