Toda M., Kubo R., Saito N. — Statistical Physics I: Equilibrium Statistical Mechanics, Vol. 1 :: Электронная библиотека попечительского совета мехмата МГУ

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Toda M., Kubo R., Saito N. — Statistical Physics I: Equilibrium Statistical Mechanics, Vol. 1

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Название: Statistical Physics I: Equilibrium Statistical Mechanics, Vol. 1

Авторы: Toda M., Kubo R., Saito N.

Аннотация:

Statistical Physics I discusses the fundamentals of equilibrium statistical mechanics, focussing on basic physical aspects. No previous knowledge of thermodynamics or the molecular theory of gases is assumed. Illustrative examples based on simple materials and photon systems elucidate the central ideas and methods.

Язык:

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2nd edition

Год издания: 2004

Количество страниц: 276

Добавлена в каталог: 16.03.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

$T-\mu$ distribution      65
$\lambda$ -transition      94
a priori probability      29
Absolute temperature      36 38 40 51
Absolute zero of temperature      69
Abstract dynamical system      195
Action integral      180
Action variable      25 47 179 180 181
Adiabatic change      43
Adiabatic demagnetization      70
Adiabatic process      235
Adiabatic susceptibility      236
Adiabatic theorem      43
Adiabatic theorem in classical mechanics      48
Adiabatic theorem in statistical mechanics      45
Angle variable      175 180 181
Approach to equilibrium      3
Automorphism      19 5
Average      4 53
Average convergence      190
Baker's transformation      195
Bernoulli scheme      195 196 198 200 201
Bernoulli's equation      90
Bernoulli's system      225
Bethe approximation      155
Binomial distribution      5
Birkhoff's first theorem      186 188
Birkhoff's second theorem      187
Birkhoff's theorem      188 227
Bloch equation      59
Boltzmann constant      31
Boltzmann distribution      114
Boltzmann factor      52
Boltzmann — Planck's method      54
Boltzmann's principle      31
Boltzmann's relation      85
Bose condensation      94 118
Bose distribution      75 78
Bose gas      93
Bose particle      10 73
Bose system      74 82 86 90
Bose — Einstein distribution      78
Boson      73
Boyle Charles' law      10 13 92 118
Bragg — Williams approximation      153
Brownian motion      6 10
Bruns' theorem      204
C-system      202 203
Canonical distribution      52
canonical ensemble      51
chemical potential      63 64 65
Classical distribution      79
Classical gas      100
Classical limit      59
Classical mechanics      1
Classical particle      88
Classical statistics      100 102
Classical sum over states      61
Classical systems      100
Cluster integral      108
Combined system      31
Compressibility equation      10
Computer experiment      212 217 226 227
Condensation      39 129 130
Correlation      6
Correlation coefficient      193
Correspondence between classical and quantum mechanics      25
Coulomb force      112
critical exponent      149 159 160 175
Critical phenomenon      160 164
Critical point      68
Critical temperature      102 123
Crystal lattice      76
Curie point      68 141
Curie temperature      118 148 154
Curie's law      12 118 143
Curve of section      218
de Boer parameter      102
de Boer's corresponding state      102
Debye length      113
Debye temperature      77
Debye — Hueckel theory      116
Debye's -law      76
Debye's specific heat formula      77
Degenerate      96
Density fluctuation      8 92
Density matrix      18 29 58 60 228 236
Density of states      30
Density operator      58
Detailed balancing      82 83 84
Diffeomorphism      195
Discernibility      232
Dual lattice      140
Dulong — Petit's law      78
Eight-vertex model      151
Einstein — Brillouin — Keller quantization      233
Einstein's specific heat formula      77
Electrolyte      114
Electrolyte solutions      117
Electromagnetic wave      75 90
Electron      73
Electron, gas      112
Electron, gas in metal      92
Electronic specific heat      96 98
Elliptic fixed point      220 225 227
Energy      85
Energy by mixing      34
Energy change      51
Ensemble average      28
entropy      31 33 43 51 53 56 85
Entropy and fluctuation      84
Entropy of the partition      200
Equal a priori probability      177 178
Equilibrium condition      38
Equilibrium distribution      82
Equipartition of energy      104
Ergodic component      227
Ergodic hypothesis      28 45 177 187
Ergodic problem      29
Ergodicity      187
expectation value      6
Extensive Variable      65
External force      41
Fermi distribution      79 95
Fermi energy      95
Fermi gas      95 99
Fermi level      95
Fermi particle      73
Fermi system      82 86 90
Fermi temperature      96
Fermi — Dirac distribution      79
Fermi — Pasta — Ulam's experiment      216
Fermi's problem      206
Fermion      73
First-order phase transition      39
Fixed point      174 220
Fluctuation      4 67 87
Fluctuation of energy      67
Fluctuation of light intensity      9
Fluctuation of magnetization      11
Free energy      63 85
Free particle      32
Frequency spectrum      76
Fundamental laws of thermodynamics      51
G-path      186—189 192
Gaussian curvature      184 203
Gaussian — Markovian process      136
Geodesic      183 203
Gibbs' distribution      52
Gibbs' ensemble      28

Gibbs' free energy      63
Gibbs' paradox      34
Ginzburg — Landau Hamiltonian      166 174
grand canonical ensemble      65
Grand partition function      87
harmonic oscillator      26 180
Heat radiation      76
Heisenberg model      119
Helix-coil transition      137
Helmholtz's free energy      57
Henon — Heils system      217 234
High temperature expansion      91
Highly relativistic case      98
Homoclinic point      225 226
Hopfs theorem      191 230
Hyperbolic fixed point      220 225—227
Imperfect gas      107
Index of the fixed point      221
Individual ergodic theorem      189
Inner virial      14
Integrable system      181
Intensity of light      9
Invariant curve      218 221 225
Invariant function      189
Ion      114
Ion atmosphere      114
Irreducible integral      110
Ising magnet      121
Ising model      119 130 152 160
Ising system      123 137
Isolated susceptibility      237
Isolated system      28
Isolating integral      216—218 233
Isomorphic dynamical system      197
Isomorphism      195 201
Isothermal distribution      52
Isothermal susceptibility      236
Joule — Thomson effect      70
K-system      199—201 203
Kadanoff transformation      172
Kam theorem      221 225 233
KAM theorem, (Kolmogorov, Arnol'd and Moser) theorem      222
Khinchin's theorem      193
Kolmogorov entropy      198 201
Kolmogorov transformation      199
Lagrange's indeterminate multiplier      56
Laser      40
Lattice gas      120 121 123 124 133
Law of the equipartition of energy      13 103
Lennard — Jones potential      100
Level density      90
Level density of a free particle      88
Liouville equation      19
Liouville operator      21 189 191
Liouville's theorem      19 28 178 185
Liouville's theorem in classical mechanics      20
liquid helium      94
Lissajous' figure      21
Ljapunov number      219
Long-range interaction      135
Long-time average      230 227
Long-time behavior      208
Macro-observable      230
Macroscopic      1
magnetic moment      11
magnetic susceptibility      11 68
magnetization      67
Many-particle system      72
Mathieu's equation      214
Maxwell — Boltzmann distribution      79
Mayer function      107
Mean ergodic theorem      189
Measure preserving transformation      178 202 219
Mechanical pressure      42
Melting      42
Metallic electron      97
Metric indecomposability      192
Metrical transitivity      191 219
microcanonical ensemble      29
Microscopic      1
Mixing      192 201
Molecular field approximation      153
Molecular field theory      149
Nature of wave      88
Neel temperature      126 150
Negative curvature      184 203
Negative temperature      36 40
Nernst — Plank's theorem      68
Nernst's theorem      68
Newton's method      225
Nonlinear lattice vibration      205 206
Normal mode      208 212
Nuclear demagnetization      70
Number of microscopic state      30 32
Number-density      6
One-body density      6
Ornstein — Zernike relation      10
Oscillator system      74
Osmotic pressure      117
Outer virial      14
Pair distribution function      7
Paramagnetic substance      70
Particles in a one-dimensional parabolic potential      80
Partition      199
Partition function      57 102 103
Pauli's (exclusion) principle      74 95
Perfect gas      33 72 88 90
Permanent      74
Permutation      34
Phase average      186 187
Phase integral      61 103
Phase space      15 19
Phonon      74
Photon      9 74 89
Photon gas      99
Planck's characteristic function      57
Planck's law of radiation      75
Planck's radiation formula      84
Poincare mapping      217 221
Poincare — Birkhoff fixed-point theorem      218 221 222
Poincare — Fermi's theorem      204
Poisson equation      114
Poisson's adiabatic equation of state      91
Poisson's distribution      5
Pressure      41 50 53 104 105
Pressure equilibrium      41
Principle of equal (a priori) probability      3 28 29
Principles of statistical mechanics      28
probability      4
probability distribution      4
Probability of a state      53
Proton      73
qp space      19
Quantity of heat      51 53
Quantum effect      92 100 102
quantum mechanics      2
Quantum statistics      72
Quasi-ergodic      206
Quasi-ergodic hypothesis      195
Radial distribution function      7
Radiation      83
Radiation field      75
Random phase assumption      228 230
Relative fluctuation      5
Relativistic classical gas      100
Relativistic gas      98
Relativistic particle      89
Renormalization group      171
Representative point      20
Residual entropy      69

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