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Cohen, M., 329 Collision: effect of, 54 elastic, 56 Collision integral, 68 Collisionless regime, 95 Collision time, 94 Compressibility : adiabatic, 21, 103 isothermal, 21 Configuration integral, 213 Conservation theorem, 97, 99 Continuity equation, 101 Correct Boltzmann counting, 141, 144, 182, 200, 345 Correlation function, 67, 394 in Gaussian model, 435, 439 ideal Bose gas, 304 pair, 211 Correlation length, 395 Counting of states: for Boltzmann gas, 182 for Bose gas, 182 for Fermi gas, 182 Coupling constant: renormalized, 457 unrenormalized, 456 Cowley, R. A., 411 Cowling, T. G., 105 Creation operator, 483 Critical dimension, 437, 438 lower, 409 Critical exponent: classical, 425 data for, 398 defined, 396 expressed in terms of dimensions, 405 in Gaussian model, 436 in Landau-Wilson model, 464 mean-field, 425 at tricritical point, 432 Critical phenomena, 392 Critical region, 437 Critical surface, 450 Crooker, B. C., 329 Crossover exponent, 403 Cross section: differential, 57 total, 57 Curie temperature, 341 Cyclotron frequency, 255 Darwin-Fowler method, 193 De Boer, J., 65, 319
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Debye function, 285 Debye model, 283 Debye temperature, 285 Degeneracy temperature, 245 De Gennes, P. G., 257 De Haas, W. J., 260 De Haas-Van Alphen effect, 260 Density fluctuation, in grand canonical ensemble, 152 Density function, 128 Density matrix, 174 Density operator, 175 for canonical ensemble, 177 for microcanonical ensemble, 176 Diamagnetism, 253 Diffusion, coefficient of, 49 Diffusion equation, 113 Dillinger, J. R., 309 Dimension: anomalous, 438 canonical,438 defined, 400 Dimensional analysis, 400 Dimension reduction, 410 Distribution function, 52 equilibrium, 73 most probable, 81 multi-particle, 67 Divergence: infrared, 434 ultraviolet, 434 Domain wall, 349, 409 Dorda, G., 263 Dual lattice, 366 Dulong-Petit law, 286 Effective mass, in incompressible flow, 119 Effective range, 235 Efficiency of engine, 11 Effusion, 95 Ehrenfest, P., 35 Einstein model, 283 Einstein relation, 49 Energy fluctuation, in canonical ensemble, 146 Energy surface, 128 Engine, 10 Ensemble: canonical, 177 Gibbsian, 62 grand canonical, 149 microcanonical, 80, 129, 173, 176 in quantum mechanics, 173 uniform, 142
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Ensemble average, 65, 129 in grand canonical ensemble, 178 quantum mechanical, 177 Enthalpy, 8 Entropy: and Boltzmann's H, 79 in canonical ensemble, 145 in microcanonical ensemble, 131, 134 for quantum ideal gases, 183 in statistical mechanics, 131 in thermodynamics, 16 Entropy of mixing, 141 and osmotic pressure, 45 Equal a priori probability, postulate of, 129, 172, 194 Equation of state, 3 cluster expansion for, 218 in grand canonical ensemble, 152 ideal gas, 4, 6 magnetic, of nickel, 413 quantum ideal gas, 186 Van der Waals, 38, 40 , virial expansion for, 21 9 Equilibrium, thermodynamic, 3 Equipartition theorem, 138 generalized, 137 Ergodic theorem, 65 Euler's equation, 101 Extensive quantity, 4 Fairbank, W. M., 309 Fermi, E., 231 Fermi energy, 244 Fermions, 179 statistical repulsion between, 203 Fermi surface, 244 Fermi temperature, 245 Ferromagnetism, heuristic mean-field theory of, 364 Feynman, R. P., 326, 329 First law of thermodynamics: generalized, 154 in kinetic theory, 79 stated, 7 in statistical mechanics, 135 Fisher, M. E., 413 Fixed point, 445, 449 Gaussian, 461 non-trivial, 461 Flow diagram, 445 Fluctuation-dissipation theorem, 153, 396 Flux quantization, 256 Forrer, R., 413 Fountain effect, 312
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Free energy, see Helmholtz free energy Free expansion, 8, 18 Fugacity, 151, 154 Gallilean transformation, 318 Gamma space, 62 Gap exponent, 401, 402 Gas constant, 6 Gauge invariance: global,300 local, 322 Gauge transformation, 322 Gaussian integral, 420 Gaussian model, 434 Gibbs free energy, 22 Gibbs paradox, 141 Gibbs thermodynamic potential, 22 Ginzburg, V. L., 416 Ginzburg criterion, 437 Glimm, J., 206 Goldstone, J., 299, 301 Goldstone excitation, 30 I, 406, 408 Goldstone mode, 406 Gorter, C. J., 323 Gossard, A. C., 263 Grand canonical ensemble: defined, 149 density fluctuations, 152 equivalence to canonical, 157 and thermodynamics, 151, 152 Grand partition function, 151 Graph, 214 connected, 215 Greyberg, G., 329 Greytak, T. J., 329 Griffiths, R. B., 349,430 Gropper, L., 203 Ground state wave function: absence of nodes, 471 proof of non-degeneracy, 471 reality of, 471 Guggenheim, E. A., 397 Gunton, J. D., 302 Haber, H. E., 294 Hall effect, quantized, 261 Hall resistivity, 262 Halperin, B. I., 263 Hamiltonian: block-spin, 448 effective, for imperfect gas, 237, 330 equations of motion, 63 Hancock, H., 389 Hard spheres, 232, 314
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