Boon J.P., Yip S. — Molecular hydrodynamics :: Электронная библиотека попечительского совета мехмата МГУ

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Boon J.P., Yip S. — Molecular hydrodynamics

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Название: Molecular hydrodynamics

Авторы: Boon J.P., Yip S.

Аннотация:

This graduate-level introduction to the theory and applications of time correlation functions and the molecular theory of fluid dynamics provides experimentalists with the theoretical tools useful for analysis of experimental results, and theoreticians a comprehensive source of illustrations of theories most relevant in practical applications. The book reviews the concepts, basic tools and basic approximations of molecular hydrodynamics, then explores self-diffusion, space-dependent diffusion, hydrodynamic fluctuations, fluctuations at finite wavelengths and finite frequencies. 110 illustrations.

Язык:

Рубрика: Физика/Термодинамика, статистическая физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1980

Количество страниц: 418

Добавлена в каталог: 27.07.2005

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Предметный указатель

Boltzmann kinetic equation      94 128
Boltzmann — Lorentz kinetic equation      216
Boussinesq equation      123
Brillouin peak (Brillouin — Mandelstam doublet)      249 272
Bulk viscosity, generalized      258
Burnett coefficients      128 276
Compressibility      25 32
Computer molecular dynamics simulation      9
Concentration fluctuations      269
Continued fraction representation      74 129
Continued fraction representation horizontal and vertical truncations      132
Convolution approximation      329
Correlation function: density      18 249 309 328
Correlation function: direct      25 27
Correlation function: longitudinal and transverse current      see “Current correlation of fluid mixtures”
Correlation function: phase-space density      91 97
Correlation function: static      23 28 93
Correlation function: time-dependent      18
Correlation function: van Hove self correlation      see “van Hove self correlation”
Correlation function: velocity autocorrelation      see “Velocity autocorrelation”
Corresponding states      59
Current correlation: longitudinal      5 20 296 300 333 387
Current correlation: of fluid mixtures      272
Current correlation: transverse      20 281 285 386
Damping function      86 302 328
Depolarized light scattering      266 393
Detailed balance condition      22
Dielectric constant fluctuations      264
Dielectric constant fluctuations in mixtures      269
Diffusion coefficient      49 56
Diffusion coefficient Enskog approximation      57
Diffusion coefficient in liquid-like brownian system      400
Diffusion coefficient liquid argon      55
Diffusion coefficient relation to friction coefficient      66
Diffusion coefficient relation to memory function      110
Diffusion coefficient size dependence      154
Dispersion relations      86 270 303 327 353 390
Dynamic structure factor      see also “Correlation function density” 20
Dynamic structure factor for hard sphere fluids      366 370
Dynamic structure factor of liquid argon      339
Dynamic structure factor of liquid lead      321
Dynamic structure factor of liquid rubidium      345
Effective potential      84 205 319 324 329
Elastic constants      see also “Shear and bulk moduli” 34
Energy density      307 380
Enskog collision time      42
Enskog kinetic equation      95
Entropy fluctuations      247 272
Exponential model      see also “interpolation model” 134
Extended liquid phonon model      333
Fluctuation-dissipation theorem      22 65 72
Fokker — Planck approximation      220
Force autocorrelation function      108
Free particle model: density correlation function      169
Free particle model: memory function      208
Free particle model: susceptibility and response function      82
Free particle model: transverse current correlation      282
Friction constant      66 122
Gaussian approximation      157 176
Gaussian approximation nongaussian corrections      187 224
Generalized Enskog kinetic equation      95 363
Green — Kubo relations      49
Green — Kubo relations bulk viscosity      52
Green — Kubo relations self-diffusion coefficient      49
Green — Kubo relations shear viscosity      51
Green — Kubo relations thermal conductivity      52
Hard sphere collision      147
Heat current density      308 311
Hydrodynamic equations      238 277 301
Hydrodynamic equations dispersion relations      246 257 270
Hydrodynamic equations for mixtures      270—273
Hydrodynamic equations generalizations      257 298
Hydrodynamic limit, density correlation function      249 309
Hydrodynamic limit, transverse current correlation      282
Hydrodynamic limit, van Hove self correlation      170 173 176
Hydrodynamic modes      246
Hydrodynamic modes in fluid mixtures      271
Intermediate scattering function      see also “Correlation function density” 20
Itinerant-oscillator model      141
Kinetic equations      92
Kinetic equations Enskog approximation      95
Kinetic equations for self correlation function      215
Kinetic equations generalized Enskog approximation      95 363
Kinetic equations renormalized      96
Kinetic equations single relaxation time model      217
Kinetic model method      364
Kramers — Kronig relations      80
Landau — Placzek ratio      251 259 264 273
Langevin diffusion      133 180
Langevin equation      64
Langevin equation generalizations      66 93 203
Light scattering      7
Linear response      78
Liouville equation      88
Liouville operator      17
Longitudinal current correlation      see “Current correlation longitudinal”
Longitudinal viscosity      246
Longitudinal viscosity generalization to k- and $\omega$ -dependence      299 316 357
Maxwell molecule interaction      219
Maxwell relaxation time      32 257 260 285 303 341
Mean square displacement      45 177
Mean square displacement of liquid-like brownian system      400
Mean square displacement relation to self-diffusion coefficient      47
Mean square displacement relation to velocity autocorrelation      48

Mean square force      109 116
Memory function      11 70 75 98 188 203
Memory function equations      12 70 75
Memory function equations for longitudinal current correlation      299
Memory function equations for transverse current correlation      283
Memory function equations in generalized Langevin equation formalism      307
Memory function exponential model      133 181 285 339 380
Memory function for density correlation function      308 312
Memory function for hard sphere fluids      147
Memory function for longitudinal current correlation      299
Memory function for self correlation function      227
Memory function for transverse current correlation      285
Memory function for velocity autocorrelation function      108 147 157
Memory function gaussian model      138 211 291 342
Memory function higher-order functions      208 232
Memory function in hydrodynamic approximation      301 328
Memory function long-time behavior      77
Memory function phase-space      92 380
Memory function second-order, or relaxation function      110 386
Memory function two relaxation time models      140 142 291 344
Memory function viscoelastic continuum model      143
Mode coupling formalism      98
Mode coupling formalism calculation of current and density correlation functions      386
Mode coupling formalism calculation of velocity autocorrelation function      155
Navier — Stokes equations      49 240 295
Neutron scattering      8
Neutron scattering incoherent inelastic scattering      164
Orientation fluctuations      267
Ornstein — Zernike equation      25
Pair distribution function      24
Pair distribution function hard sphere fluids      42
Pair distribution function Lennard — Jones fluid      30
Plasma dispersion function      82 365
Polarizability fluctuations      395
Polarization function      210
Pressure      41 308
Projection operator      68 75 93 98 209 386
QTRT (wavenumber-dependent triple relaxation time) kinetic model      367
Radiation scattering, energy and momentum transfers      7
Random phase approximation      see also “mean-field approximation” 85 319
Rayleigh peak      249
Resolvent operator      145
Response function      80
Ring collisions      96 147
Scaled mean field approximation      323 340
Shear and bulk moduli: high-frequency      32 41
Shear and bulk moduli: wavenumber-dependent generalization      33 39
Shear modes      246
Shear relaxation      303
Shear relaxation time      268 290
Shear relaxation time interpolation models      287
Shear relaxation time Maxwell model      32
Shear viscosity coefficient      32—56
Shear viscosity coefficient Enskog approximation      57
Shear viscosity coefficient generalizations to k- and $\omega$ -dependence      257 285
Shear viscosity coefficient liquid argon      59
Shear waves      266 286
Sound speed: adiabatic      242 249 303
Sound speed: dispersion      260 264 303
Sound speed: generalization to k-dependence      304
Sound speed: high-frequency      258 303
Sound speed: isothermal      296
Specific heat ratio      242
Specific heat ratio generalization to k-dependence      293 307 314 344
Stokes — Einstein relation      154
Stress tensor      31 49 311
Structural relaxation      261
Structure factor: dynamic      see “Dynamic structure factor”
Structure factor: static      24 322
Structure factor: static aqueous suspension of polystyrene spheres      399
Structure factor: static argon      26 347
Structure factor: static Lennard — Jones fluid      30 352
Structure factor: static Percus — Yevick approximation      28
Structure factor: static rubidium      347
Sum rules      35
Superposition approximation      40
susceptibility      79
Susceptibility free particle      82
Susceptibility relation to correlation function      90
Susceptibility screened      85 322
Temperature density      307
Thermal average      17
Thermal relaxation      258
Thermodynamic properties of hard sphere fluids      367
Three-particle distribution function      40 101
Transport coefficients Enskog theory results      369
Transport coefficients generalizations      254
Transport coefficients Green — Kubo relations      49
van Hove self correlation      19 44 97 163
van Hove self correlation cumulant expansion      171
van Hove self correlation diffusing atom model      169
van Hove self correlation free-particle model      169
van Hove self correlation jump diffusion model      182
van Hove self correlation of liquid argon      165
van Hove self correlation spatial moments      45 171
van Hove self correlation time expansion      167
van Hove self correlation various memory function models      192
Velocity autocorrelation function      19 48 55 105
Velocity autocorrelation function higher-order correlations      172
Velocity autocorrelation function long-time behavior      120
Velocity autocorrelation function time expansion      113
Vertex interaction      99
Viscoelastic fluids      266
Width function      see also “Mean square displacement” 149

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