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Attard P. — Therodynamics and Statistical Mechanics: Equilibrium by Entropy Maximisation
Attard P. — Therodynamics and Statistical Mechanics: Equilibrium by Entropy Maximisation



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Название: Therodynamics and Statistical Mechanics: Equilibrium by Entropy Maximisation

Автор: Attard P.

Аннотация:

This account of thermodynamics and statistical mechanics is based on entropy and its maximization. Building from first principles, it gives a transparent explanation of the physical behaviour of equilibrium thermodynamic systems, and it presents a comprehensive, self-contained account of the modern mathematical and computational techniques of statistical mechanics.


Язык: en

Рубрика: Механика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2002

Количество страниц: 424

Добавлена в каталог: 02.02.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Activity      139 188
Activity, density expansion of      197 199
Activity, functional      254—256
Addition theorem      315
Additive      11 18 19 409
Adiabatic      409
Adiabatic incompressibility      95
Aristotle, logic of      393
Asakura — Oosawa      282
Asymptote, double layer, long-range      347
Asymptote, double layer, planar      343 346
Asymptote, double layer, spherical      338
Asymptote, electrolyte      330—336
Asymptote, pair      210 235—242
Asymptote, solute      283
Asymptote, triplet      224
Average      66
Average, definition of      18
Average, phase space      90
Axilrod — Teller potential      157
Bayes' theorem      383 392 394 399
Bernoulli trial      398
BGY      310 313 315
BGY hierarchy      222—224
BGY, density      306 309
Black-body radiation      116
Born      see "BGY"
Bose — Einstein distribution      114
Bosons      114
Bragg — Williams      125
Bridge diagram      218 226 289
Bridge function      216 233
Bridge function, generator      259
Carnahan — Starling      200
Cavity      178 278 280
Cavity function      226
Cavity, hard-sphere solvent      292
Charge      153 317 411
Charge, effective      331 333 344
chemical potential      36 169 232—235 311
Chemical potential, definition of      20
Chemical potential, density expansion of      199
Chemical potential, hypernetted chain      252
Chemical potential, mixture      286
Chemical potential, simulation of      365 368
Clausius virial      162
Closure      214—221
Closure, functional expansion      219—221
Closure, mixture      279
coexistence      204
Compressibility      49 72 76 80 174 229—231 288
Compressibility, density expansion of      199
Compressibility, ideal gas      138 145
Compressibility, ratio of      145
Concavity      see "Entropy or potential"
Configuration integral      158 181
Conjugate variables      409
Conserved variables      19
constrained      see "Entropy or potential"
Contact theorem      177 226 307
Coulomb, potential      153 317
Coupling constant      232 268 271 369
Critical point      230 238 240
Critical point, solute asymptote      284
Curie temperature      127
Cylindrical solute      297
de Broglie wavelength      159
Debye length      319 323 333
Debye — Hueckel      320—322 328
density      31
Density expansion      183
Density functional      245
Density functional, approximations      252
Density functional, thermodynamic potential      211
Density, activity expansion of      196
Density, asymptote of      173
Density, fluctuation potential      147
Density, functional of      151
Density, ideal functional of      148
Density, ideal gas      173
Density, n-particle      171
Density, pair      171 193 207
Density, particle      170 192
Density, profile      309 337 344
Density, singlet      146 170 171 193 309
dependent variables      20 21 29
Depletion attraction      282
Derjaguin approximation      291
Derjaguin approximation, cylinder      299
Diagrams, cluster      185—188
Diagrams, functional derivative of      191
Diagrams, labelled      186
Dielectric      154
Diffusion coefficient      371
Dipole      154 412
Dipole, potential      154 157
Direct correlation function      211 236 253 266
Direct correlation function, generator      211 247
Direct correlation function, singlet      198 309
Distribution, pair      208
Distribution, particle      170 174
Dumb-bell solute      304
Electric double layer      322 336
electric field      411
Electric potential      see "Potential"
Electro-neutral      319 337 340 349
Energy, average      160 175 228
Energy, density expansion of      200
Energy, derivatives of      407
Energy, fluctuation      161
Ensemble      94
Enthalpy      41 77 105—108 410
Enthalpy, concavity of      80
Entropy, and equilibrium      4
Entropy, and flux      4 7
Entropy, and probability      6 12 383
Entropy, Boltzmann      10
Entropy, concavity of      27 59
Entropy, constant temperature      100
Entropy, constrained      22
Entropy, continuum      13 93 387
Entropy, cross-      248 256 260 264
Entropy, definition of      3 4 10—14 17 387
Entropy, density      148
Entropy, density expansion of      200
Entropy, derivatives of      55
Entropy, Gibbs      11
Entropy, history of      1
Entropy, maximisation of      5
Entropy, principle of maximum      100 394 401 406
Entropy, quadratic form      29 59
Entropy, total      65
Entropy, total differential of      21
Equilibrium      21 410
Equilibrium, approach to      59
Equilibrium, definition of      17
Equilibrium, state      58
Equilibrium, thermal      23
Equipartition theorem      165
Equivalence of systems      50 80
Ergodic hypothesis      94
Eular's theorem      163
Extensive      30 51 409
Fermi Dirac distribution      112
fermions      111
ferromagnetism      124
Fluctuation potential      see "Potential constrained"
Fluctuation, energy      138 140 144
Fluctuation, particle      140
Fluctuation, volume      141
Fluctuations      67
Fourier transform      213 279 288
Fourier transform, two-dimensional      298 313
Free energy      see "Potential thermodynamic"
Free energy, Gibbs      40 52 105
Free energy, Helmholtz      24 52 101
Free energy, Helmholtz, density expansion of      199
Functional derivative      189 192
Functional uniform      190
Gauss' principle      375
Gibbs      see "Free energy"
Gibbs — Duhem equation      52
Green      see "BGY"
Hamiltonian      84 352
Hankel transform      298 313
Hard sphere      155 200—202 225
Hard sphere, virial coefficient      200
Hard wall      177
harmonic oscillator      118 129
Heat      408
Heat bath      see "Reservoir"
heat capacity      48 71 77 161 169
Heat capacity, Debye      120
Heat capacity, Einstein      119
Heat capacity, ideal gas      138 142
Heat capacity, magnetic      124 128
Heat capacity, ratio of      145
Heat capacity, solids      118
Helmholtz      see "Free energy"
Hypernetted chain      216 221 234 241 261
Hypernetted chain, density functional      249
Hypernetted chain, singlet      311
Hypersphere      131 135
Ideal gas      135—145
Ideal gas, inhomogeneous      145
Independent variables      21
Intensive      31 409
Interacting pores      302
Interaction free energy      271 291 306
Interaction, spheres      280 338
Interaction, walls      272 274 289 345
Irreversible processes      408
Ising model      122
Isobaric      see "Reservoir volume"
Isothermal      see "Reservoir heat"
Jaynes      12 394 402
Jeffreys prior      400
Kirkwood superposition      224
Lagrange multiplier      149 151 403 405
Landau potential      24
Legendre, polynomial      314
Legendre, transform      25 315
Lennard — Jones      182 202—204 227
Lennard — Jones, critical point      203
Lennard — Jones, potential      155
Liouville's theorem      95
Lovett — Mou — Buff      310 314 315
Macroion      337
Macrostate      see "State"
Magnetic field      122 412
Magnetisation      124
Magnetism, model of      121
Maxent      see "Entropy principle
Maxwell equal area      204
Maxwell relation      50
Mayer f-function      182 235
Mayer irreducible clusters      197
Mean field theory      150—152 318
Mean field, magnetisation      124
Mean spherical approximation      217 219 234 242
Membrane      300
Metropolis algorithm      360 377
Microstate      see "State"
Mixture      39 210 214 231 239 285
Mixture, closure      279
Mixture, electrolyte      323
Modes, normal      129
Molecular Dynamics      see "Simulation"
moment      324 327
Moment, second      325 337
Moment, zeroth      324 337
Momentum      412
Momentum, angular      35—36 413
Momentum, linear      35—36
Monte Carlo      see "Simulation"
Multipole      154
Nonequilibrium potential      see "Potential constrained"
One-dimensional crystal      129
Open system      see "Reservoir particle"
Ornstein — Zernike equation      211- 214
Ornstein — Zernike equation, electrostatic      333 341
Ornstein — Zernike equation, inhomogeneous      308 316
Ornstein — Zernike equation, inhomogeneous, planar      312 348
Ornstein — Zernike equation, inhomogeneous, spherical      314
Ornstein — Zernike equation, singlet, cylinder      297
Ornstein — Zernike equation, singlet, dumb-bell      304
Ornstein — Zernike equation, singlet, planar      287 296 341
Ornstein — Zernike equation, singlet, spherical      277 287 337
Pair potential, functional of      263
Partition function      65 158
Partition function, definition of      17
Partition function, density expansion of      194 198
Partition function, general derivative of      66
Pendulum      133
Percus — Yevick      217 220 234 242
Periodic boundary conditions      356
Perturbation theory      264 275
Perturbation theory, grand potential      268 271
Perturbation theory, Helmholtz free energy      270
Phase coexistence      204
Phase space      84
Phase space, adiabatic incompressibility of      95
Phase space, average      90
Phase space, entropy      93
Phase space, probability of      89 99
Phase space, trajectory      85
Poisson — Boltzmann      318—320
Polarization      411
Pore      300
Potential of mean force      215
Potential, chemical      see "Chemical potential"
Potential, constrained      23 53 61
Potential, constrained, convexity      25
Potential, constrained, energy      24 71 101
Potential, constrained, number      38 72
Potential, constrained, pair      263
Potential, constrained, particle      103
Potential, constrained, variational      25
Potential, constrained, volume      40 42 44 74 77 79 105 107
Potential, electric      341 343 411
Potential, fluctuation      70
Potential, fluctuation, density      151 247
Potential, fluctuations of      248
Potential, grand      38 52 103
Potential, many-body      158
Potential, mean electrostatic      318 322 341
Potential, mean field      150
Potential, pair      153
Potential, singlet      157
Potential, tail of      266 359
Potential, thermodynamic      23 61
Potential, thermodynamic, activity functional      254—256
Potential, thermodynamic, concavity of      46 50 64
Potential, thermodynamic, density functional      211 245—249
Potential, thermodynamic, derivatives of      62
Potential, thermodynamic, Gibbs      105
Potential, thermodynamic, Helmholtz      101
Potential, thermodynamic, quadratic form      65
Potential, thermodynamic, total derivative of      63
Potential, triplet      151 157 163 176 196 198 222
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