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Dorlas T.C. — Statistical mechanics, fundamentals and model solutions
Dorlas T.C. — Statistical mechanics, fundamentals and model solutions

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Название: Statistical mechanics, fundamentals and model solutions

Автор: Dorlas T.C.

Аннотация:

Provides an introduction to thermodynamics and statistical mechanics from a mathematical point of view. Discusses thermodynamics, the fundamentals of statistical mechanics, and provides a detailed treatment of a number of model applications.


Язык: en

Рубрика: Физика/Термодинамика, статистическая физика/Теория информации/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1999

Количество страниц: 273

Добавлена в каталог: 17.08.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\lambda$ transition      203
1-form      13
Absolute temperature      5 18
Absolute zero      4
Adiabatic      10
Adiabatic demagnetization      108 149
Angular momentum operator      243
Annihilation operator      246 248
Anti-commutator      215 247
Atomic mass unit (amu)      4
Austenite      66
Avogadro's law      4
Avogadro's number      4
Background radiation      78
Baimer lines      99
BCS model      216
BCS model, specific heat of      223
Bethe ansatz      228
big bang      76—79
Binomial distribution      234
Black-body radiation      73—75
Bohr magneton      101 149
Bohr, Niels      94 99
Boltzmann's constant      4 30
Boltzmann's postulate      91 104
Borel — Cantelli lemma      152 236
Bose S.N.      132
Bose — Einstein condensation      132 200—209
Bose — Einstein statistics      101 128
Boson gas      128 200
Bosons      101 128 200
Bound state      94—95
boundary conditions      163 240
Boyle's law      4
Brillouin function      153
Brillouin zone      189
canonical ensemble      136 137
Canonical partition function      136
Carnot efficiency      23
Carnot process      23
Carnot, Sadi      23
Cayley tree      225 230
Celcius scale      4
Central limit theorem      117 159 237
Chandrasekhar limit      194
Characteristic function      237
Charles' law      4
chemical potential      42
Chemistry      71
Classical limit      133
Classical spin system      139
Clausius      16
Clausius—Clapeyron equation      48
Closed convex hull      36
Coefficient of performance      25
Coexistence line      45
Coexistence of phases      45
Commutation relations      205 248
Commutator      243
Compressibility, isothermal      19—20
Compression ratio      25
Concave      27 33
Concavity      1 27
Conditional probability      231
Conduction electrons      160 185
Configuration      163
Constant pressure cycle      86
Constitution of stars      80
Contact, thermal      31
Contact, thermodynamic      31
Contour expansion      170
contours      169
Convex      27 33
Convex body      250
Convex hull      36 181
Convexity      33 249
Cooper pairs      215
Coordinate forms      14
Correlation function      226
Corresponding states, law of      88
Cosmological constant      76
Coulomb force      97
Cramer's theorem      115
Creation operator      246 248
critical exponent      45
Critical phenomena      45
Critical point      45
Critical temperature      45 176
Crystal structure      65
Cumulant generating function      115
Curie temperature      52
Curie — Weiss law      52
Curie's law      51 108
Debye      196
Debye temperature      69 198
Debye — Griineisen parameter      69
Degenerate gas      186
Degenerate perturbation theory      213
Degenerate state      95 243
Demagnetization, adiabatic      108 149
Density of states, electron      186
Diamagnetic      51 211
Diatomic gases, heat capacity for      8
Differential form      13
Differential, exact      12—15
Differentials      12
Dilution refrigerator      60—62 68
Directional derivative      37
Dirichlet boundary conditions      96 241
dispersion relation      196
Distribution function      232
Domain, essential      33
Dry ice      47
Dryness fraction      86
Dulong and Petit, law of      9 199
Effective Hamiltonian      215
Efficiency      22
Eigenvalue      94 239 242
Einstein model      229
Einstein, Albert      76 93 132 196
Einstein-de Sitter model      76
Electrical potential      97
Electromotive force      72
Electron      97 185 191
Electron density of states      186
Electron spin      100
Electrons in metals      185
Empirical temperature      3
Endothermic      71
energy equation      19
Energy level      94
Energy level, excited      97
Energy levels, magnetic      101
Energy spectrum      94
Energy, internal      6 8
Engines, thermal      22
Ensemble      135—138
Enthalpy      41 71
entropy      1 16 28
Epigraph      35
Equal-area construction      50 184
Equation of state      69 133
Equation of state for free gases      133
Equation of state for solids      69—70
Equation of state, Mie — Grueneisen      70
Equation of state, Van der Waals      49
Equation, Clausius—Clapeyron      48
Equation, energy      19
Equation, fundamental      27
Equation, Lane — Emden      82 192 194
Equation, Schrodinger      239 241
Equilibrium population      127
Equilibrium state      1
Equilibrium, thermodynamic      31
Ergodicity      135
Essential domain      33
Eutectic composition      66
Event      231
Exact differential      12—15
Exchange force      161
Exchange integral      161 162
Exchange terms      214
Excited energy levels      97
Exclusion principle      101 102
Exothermic      71
Expansion coefficient, thermal      19
expectation value      232 242
Exponent, critical      45
Extensive parameter      16
Faraday's constant      72
Fermi energy      187
Fermi level      187
Fermi sphere      189
Fermion gas      132 185
fermions      101 128
Fermi—Dirac statistics      101 128
Ferrite      66
ferromagnetism      51 160
Feynman diagrams      213
First law      6ff
First-order phase transition      47 172
Flory—Huggins theory      224
Fractional distillation      66
Free boundary conditions      163
Free energy density      40
Free energy density, Gibbs      41 47
Free expansion of a gas      32
Free gas      128—134 200—202
Free particles, localized      124—127
Fundamental equation      27ff
Gamov, George      77
Gas constant      4
Gas thermometer      4 5
Gay-Lussac, Joseph      4
General theory of relativity      76
Generalized displacements      30
Generalized forces      30
Gibbs free energy density      41 47
Gibbs function      41
grand canonical ensemble      137
Grand canonical partition function      131 137
Grand canonical potential      42
Griffiths' lemma      146
Ground state      96
gyromagnetic ratio      148
Hahn-Banach theorem      252
Half space      252
Hamiltonian      94 239
Hard-core interaction      180
harmonic oscillator      95 240
heat capacity      8 9
Heat capacity at constant pressure      13
Heat capacity for diatomic gases      8
Heat capacity for monatomic gases      8
Heat differential      12
Heat pump      26
Heat, specific      17 30
Helium      49 60—62 66 87 190 200 203 209
Helium, phase diagram of      67 204
Hermite polynomials      241
Herzsprung — Russell diagram      190
hessian      38
Hilbert space      240
Hoar frost      47
Huang — Yang — Luttinger (HYL) model      206
Hubble's constant      77
Hull, convex      36 181
Hydrogen atom, energy levels of      98 244
Hyperplane      250
Hysteresis      52
Ice model      227
Ideal gas      4 30
Ideal gas law      4 134
Ideal gas, entropy of      30
Independent random variables      232 234
Induction, magnetic      51 107
Inert gas      103
Inflation theory      79
Information theory      109 151
Intensity      73
Intensive parameter      16
Interaction      139 160
Interaction potential      139
Interaction, hard-core      180
Interaction, van der Waals      70
Internal combustion engine      24
Internal energy      6 8
Inversion temperature      60
Iron, phase diagram of      64
Ising model      163
Isothermal process      41
Joint distribution      232
Joule's experiments      7
Joule, James      4 16
Joule—Thomson effect      60
Kelvin, Lord (William Thomson)      4 16
Kirchhoff s Law      71
Lane — Emden equation      82 192 194
Laplace transform      238
Laplace's principle      105
Large deviation principle (LDP)      109
Large deviation theory      109
Laser      114
Latent heat      47
Lattice      162
Lattice gas      179
Law of corresponding states      88
Law of Dulong and Petit      9 199
Law of Large Numbers      232 235
Law, Avogadro's      4
Law, Boyle's      4
Law, Charles'      4
Law, Curie's      51
Law, Curie—Weiss      52
Law, first      6
Law, ideal gas      4 134
Law, Kirchhoff's      71
Law, Planck's radiation      75
Law, Rayleigh-Jeans      75
Law, second      16
Law, Stefan—Boltzmann      73
Law, third      20
Law, Wien's displacement      75
Law, zeroth      3
Ldp      109
Legendre transform      34
Lennard — Jones potential      70
Line of coexistence      45
Linear variety      250
Liquefaction of gases      59—62
Localized free particles      124—127
Localized spins      104
Lyman lines      99
Magnetic energy levels      101
Magnetic induction      51 107
Magnetic work      53
Magnetism      51—54
magnetization      51 165
Main-sequence stars      190
Many-body problem, quantum      205
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