Theory of simple liquids:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam [u.a.]
Elsevier [u.a.]
2006
|
| Edition: | 3. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 416 S. graph. Darst. |
| ISBN: | 0123705355 9780123705358 |
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Record in the Search Index
| _version_ | 1804135244370018304 |
|---|---|
| adam_text | Contents
Preface to the Third Edition v
Preface to the Second Edition vi
Preface to the First Edition viii
Chapter 1. Introduction
1.1 The liquid State I
1.2 Intermolecular forces and model potentials 3
1.3 Experimental methods 9
Notes and References 10
Chapter 2. Statisticai Mechanics
2.1 Time evolution and kinetic equations II
2.2 Time averages and ensemble averages 17
2.3 Canonical and isothermal isobaric ensembles 20
2.4 The grand canonical ensemble 23
2.5 Particle densities and distribution functions 28
2.6 Particle densities in the grand canonical ensemble 33
2.7 Computer Simulation: molecular dynamics and Monte Carlo 35
Notes and References 44
Chapter 3. Static Properties of Liquids: Thermodynamics and Structure
3.1 A fluid in an external field 46
3.2 Functionals and functional differentiation 50
3.3 Functional derivatives of the grand potential 53
3.4 Density functional theory 55
3.5 Direct correlation functions 57
3.6 The density response function 62
3.7 Diagrammatic methods 65
3.8 Diagrammatic expansions of the direct correlation functions 71
3.9 Virial expansion of the equation of State 74
Notes and References 77
Chapter 4. Distribution function Theories
4.1 The static structure factor 78
4.2 The YBG hierarchy and the Born Green equation 83
4.3 Functional expansions and integral equations 85
4.4 The Percus Yevick equation 90
4.5 The mean spherical approximation 95
4.6 Diagrammatic expansions of the pair functions 97
4.7 Extensions of integral equations 103
Notes and References 107
ix
Chapter 5. Perturbation Theory
5.1 Introduction: the van der Waals model 109
5.2 The A expansion 111
5.3 Soft core reference Systems 116
5.4 An example: the Lennard Jones fluid 121
5.5 Treatment of attractive forces 124
5.6 Mean field theory of liquid vapour coexistence 132
5.7 Scaling concepts and hierarchical reference theory 139
Notes and References 145
Chapter 6. Inhomogeneous Fluids
6.1 Liquids at interfaces 147
6.2 Approximate free energy functionals 151
6.3 The liquid vapour interface 156
6.4 Fundamental measure theory 159
6.5 Confined fluids 165
6.6 Density functional theory of freezing 170
Notes and References 176
Chapter 7. Time dependent Correlation and Response Functions
7.1 General properties of time correlation functions 178
7.2 An illustration: the velocity autocorrelation function and self diffusion 183
7.3 Brownian motion and the generalised Langevin equation 190
7.4 Correlations in Space and time 195
7.5 Inelastic neutron scattering 201
7.6 Linear response theory 206
7.7 Applications of the linear response formalism 213
Notes and References 218
Chapter 8. Hydrodynamics and Transport Coefücients
8.1 Thermal fluctuations at long wavelengths and low frequencies 219
8.2 Space dependent seif motion 221
8.3 The Navier Stokes equation and hydrodynamic collective modes 225
8.4 Transverse current correlations 230
8.5 Longitudinal collective modes 234
8.6 Generalised hydrodynamics 241
8.7 Long time tails in time correlation functions 245
8.8 Dynamics of supercooled liquids 250
Notes and References 254
Chapter 9. Theories of Time correlation Functions
9.1 The projection operator formalism 255
9.2 Seif correlation functions 261
9.3 Transverse collective modes 266
9.4 Density fluctuations 270
9.5 Mode coupling theory I. The velocity autocorrelation function 277
9.6 Mode coupling theory II. The kinetic glass transition 282
Notes and References 289
Chapter 10. Ionic Liquids
10.1 Classes and modeis of ionic liquids 291
10.2 Screening and Charge ordering 295
10.3 Integral equation theories 302
10.4 Frequency dependent electric response 307
10.5 Microscopic dynamics in mollen salts 314
10.6 The eleetric double layer 318
10.7 Effective interactions between colloidal particles 325
10.8 Liquid metals: electrons and ions 330
10.9 Ionic dynamics in liquid metals 336
Notes and References 339
Chapterll. Molecular Liquids
11.1 The molecular pair distribution function 341
11.2 Expansions of the pair distribution function 343
11.3 Site site distribution functions 346
11.4 Correlation function expansions for simple polar fluids 353
11.5 The static dielectric constant 357
11.6 Integral equation approximations for dipolar hard spheres 362
11.7 Interaction site diagrams 368
11.8 Interaction site modeis: the RISM equations 371
11.9 Angular correlations and the RISM formalism 375
11.10 Associating liquids 378
11.11 Reorientational time correlation functions 384
Notes and References 390
Appendix A. Fluctuations 393
Appendix B. Two theorems in density functional theory 395
Appendix C. Lemmas on diagrams 398
Appendix D. Solution of the PY equation for hard spheres 402
Appendix E. Scaled particle theory 406
Index 409
|
| adam_txt |
Contents
Preface to the Third Edition v
Preface to the Second Edition vi
Preface to the First Edition viii
Chapter 1. Introduction
1.1 The liquid State I
1.2 Intermolecular forces and model potentials 3
1.3 Experimental methods 9
Notes and References 10
Chapter 2. Statisticai Mechanics
2.1 Time evolution and kinetic equations II
2.2 Time averages and ensemble averages 17
2.3 Canonical and isothermal isobaric ensembles 20
2.4 The grand canonical ensemble 23
2.5 Particle densities and distribution functions 28
2.6 Particle densities in the grand canonical ensemble 33
2.7 Computer Simulation: molecular dynamics and Monte Carlo 35
Notes and References 44
Chapter 3. Static Properties of Liquids: Thermodynamics and Structure
3.1 A fluid in an external field 46
3.2 Functionals and functional differentiation 50
3.3 Functional derivatives of the grand potential 53
3.4 Density functional theory 55
3.5 Direct correlation functions 57
3.6 The density response function 62
3.7 Diagrammatic methods 65
3.8 Diagrammatic expansions of the direct correlation functions 71
3.9 Virial expansion of the equation of State 74
Notes and References 77
Chapter 4. Distribution function Theories
4.1 The static structure factor 78
4.2 The YBG hierarchy and the Born Green equation 83
4.3 Functional expansions and integral equations 85
4.4 The Percus Yevick equation 90
4.5 The mean spherical approximation 95
4.6 Diagrammatic expansions of the pair functions 97
4.7 Extensions of integral equations 103
Notes and References 107
ix
Chapter 5. Perturbation Theory
5.1 Introduction: the van der Waals model 109
5.2 The A expansion 111
5.3 Soft core reference Systems 116
5.4 An example: the Lennard Jones fluid 121
5.5 Treatment of attractive forces 124
5.6 Mean field theory of liquid vapour coexistence 132
5.7 Scaling concepts and hierarchical reference theory 139
Notes and References 145
Chapter 6. Inhomogeneous Fluids
6.1 Liquids at interfaces 147
6.2 Approximate free energy functionals 151
6.3 The liquid vapour interface 156
6.4 Fundamental measure theory 159
6.5 Confined fluids 165
6.6 Density functional theory of freezing 170
Notes and References 176
Chapter 7. Time dependent Correlation and Response Functions
7.1 General properties of time correlation functions 178
7.2 An illustration: the velocity autocorrelation function and self diffusion 183
7.3 Brownian motion and the generalised Langevin equation 190
7.4 Correlations in Space and time 195
7.5 Inelastic neutron scattering 201
7.6 Linear response theory 206
7.7 Applications of the linear response formalism 213
Notes and References 218
Chapter 8. Hydrodynamics and Transport Coefücients
8.1 Thermal fluctuations at long wavelengths and low frequencies 219
8.2 Space dependent seif motion 221
8.3 The Navier Stokes equation and hydrodynamic collective modes 225
8.4 Transverse current correlations 230
8.5 Longitudinal collective modes 234
8.6 Generalised hydrodynamics 241
8.7 Long time tails in time correlation functions 245
8.8 Dynamics of supercooled liquids 250
Notes and References 254
Chapter 9. Theories of Time correlation Functions
9.1 The projection operator formalism 255
9.2 Seif correlation functions 261
9.3 Transverse collective modes 266
9.4 Density fluctuations 270
9.5 Mode coupling theory I. The velocity autocorrelation function 277
9.6 Mode coupling theory II. The kinetic glass transition 282
Notes and References 289
Chapter 10. Ionic Liquids
10.1 Classes and modeis of ionic liquids 291
10.2 Screening and Charge ordering 295
10.3 Integral equation theories 302
10.4 Frequency dependent electric response 307
10.5 Microscopic dynamics in mollen salts 314
10.6 The eleetric double layer 318
10.7 Effective interactions between colloidal particles 325
10.8 Liquid metals: electrons and ions 330
10.9 Ionic dynamics in liquid metals 336
Notes and References 339
Chapterll. Molecular Liquids
11.1 The molecular pair distribution function 341
11.2 Expansions of the pair distribution function 343
11.3 Site site distribution functions 346
11.4 Correlation function expansions for simple polar fluids 353
11.5 The static dielectric constant 357
11.6 Integral equation approximations for dipolar hard spheres 362
11.7 Interaction site diagrams 368
11.8 Interaction site modeis: the RISM equations 371
11.9 Angular correlations and the RISM formalism 375
11.10 Associating liquids 378
11.11 Reorientational time correlation functions 384
Notes and References 390
Appendix A. Fluctuations 393
Appendix B. Two theorems in density functional theory 395
Appendix C. Lemmas on diagrams 398
Appendix D. Solution of the PY equation for hard spheres 402
Appendix E. Scaled particle theory 406
Index 409 |
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| index_date | 2024-07-02T14:18:15Z |
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| isbn | 0123705355 9780123705358 |
| language | English |
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| physical | XI, 416 S. graph. Darst. |
| publishDate | 2006 |
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| spelling | Hansen, Jean-Pierre 1942- Verfasser (DE-588)138359059 aut Theory of simple liquids Jean-Pierre Hansen ; Ian R. McDonald 3. ed. Amsterdam [u.a.] Elsevier [u.a.] 2006 XI, 416 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier 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 Theorie (DE-588)4059787-8 s DE-604 Physik (DE-588)4045956-1 s 1\p DE-604 McDonald, Ian R. Verfasser (DE-588)138358931 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014725896&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hansen, Jean-Pierre 1942- McDonald, Ian R. Theory of simple liquids 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 |
| title_auth | Theory of simple liquids |
| title_exact_search | Theory of simple liquids |
| title_exact_search_txtP | Theory of simple liquids |
| title_full | Theory of simple liquids Jean-Pierre Hansen ; Ian R. McDonald |
| title_fullStr | Theory of simple liquids Jean-Pierre Hansen ; Ian R. McDonald |
| title_full_unstemmed | Theory of simple liquids Jean-Pierre Hansen ; Ian R. McDonald |
| title_short | Theory of simple liquids |
| title_sort | theory of simple liquids |
| topic | Liquids Theorie (DE-588)4059787-8 gnd Flüssigkeit (DE-588)4017621-6 gnd Physik (DE-588)4045956-1 gnd |
| topic_facet | Liquids Theorie Flüssigkeit Physik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014725896&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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