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Reichl L.E. — Modern Course in Statistical Physics

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Название: Modern Course in Statistical Physics

Автор: Reichl L.E.

Аннотация:

A Modern Course in Statistical Physics goes beyond traditional textbook topics and incorporates contemporary research into a basic course on statistical mechanics. From the universal nature of matter to the latest results in the spectral properties of decay processes, this book emphasizes the theoretical foundations derived from thermodynamics and probability theory that underlie all concepts in statistical physics. Each chapter focuses on a core topic and includes extensive illustrations, exercises, and experimental data as well as a section with more advanced topics and applications. Comprehensive coverage of numerous core topics and special applications gives professors flexibility to individualize course design. And the inclusion of advanced topics and extensive references makes this an invaluable resource for researchers as well as students - a textbook that will be retained on the shelf long after the course is completed.

Язык:

Рубрика: Физика/Термодинамика, статистическая физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2nd edition

Год издания: 1998

Количество страниц: 822

Добавлена в каталог: 27.09.2005

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Предметный указатель

Continuous phase transition in magnetic systems      133—134
Continuous phase transition in superconductors      121
Continuous phase transition, Ginzberg — Landau theory      129—134
Continuum theory of solids      see "Debye solid"
Convective current      772
Convective time derivative      291 534 537 769
Convex function      63
Cooper pairs      408—409
Cooper, L.N.      417 423
Correlation function-matrix (dynamic), angular velocity autocorrelation, function      653
Correlation function-matrix (dynamic), angular velocity autocorrelation, long-time tail      653
Correlation function-matrix (dynamic), definition      184—185
Correlation function-matrix (dynamic), fluctuations      557—559 568
Correlation function-matrix (dynamic), general microscopic expression      639
Correlation function-matrix (dynamic), light scattering      598
Correlation function-matrix (dynamic), longitudinal velocity fluctuations      615—617
Correlation function-matrix (dynamic), microscopic      591
Correlation function-matrix (dynamic), projection operators      533
Correlation function-matrix (dynamic), random heat current      617—620
Correlation function-matrix (dynamic), random momentum current      617—620
Correlation function-matrix (dynamic), relation to spectral density function-matrix      557—559
Correlation function-matrix (dynamic), stationary systems      614—620
Correlation function-matrix (dynamic), temperature fluctuations      614—617
Correlation function-matrix (dynamic), transport coefficients      644 701
Correlation function-matrix (dynamic), velocity autocorrelation function, Brownian particle      252—257 620—631
Correlation function-matrix (dynamic), velocity autocorrelation function, long-time tails      620—631 711
Correlation function-matrix (static) near critical point      432 561
Correlation function-matrix (static), critical exponents, correlation length ()      439
Correlation function-matrix (static), critical exponents, critical spatial range ( $\eta$ )      440
Correlation function-matrix (static), definition      184—185
Correlation function-matrix (static), density fluctuations      491—492 561
Correlation function-matrix (static), general microscopic expression      639
Correlation function-matrix (static), longitudinal velocity fluctuations      616
Correlation function-matrix (static), magnetization density fluctuations      430
Correlation function-matrix (static), relation to structure factors      431—432
Correlation function-matrix (static), stationary systems      614—620
Correlation function-matrix (static), temperature fluctuations      616
Correlation length, critical exponent ( $\nu$ )      439
Correlation length, magnetic system      432 438
Covariance      184
Cowling, T.G.      717
Creation operators, bosons      782—785
Creation operators, fermions      785—788
Critical density (Bose — Einstein gas)      389
Critical eigenmode, Brusselator      762—764
Critical eigenmode, Rayleigh Benard      755—759
Critical exponents      135—141 149—151
Critical exponents, $S^{4}$ model      460—461
Critical exponents, correlation length $(\nu)$       439
Critical exponents, correlation range $(\eta)$       440
Critical exponents, Curie point      149—151
Critical exponents, degree of coexistence curve ( $\beta$ )      138 140 435—437
Critical exponents, degree of critical isotherm ( $\delta$ )      137—138 140 149 435—437
Critical exponents, experimental values      461
Critical exponents, heat capacity ( $\alpha$ )      138 141 151 436—437
Critical exponents, Ising model (2-d)      485
Critical exponents, isothermal compressibility ( $\gamma$ )      138 140
Critical exponents, magnetic susceptibility ( $\gamma$ )      151 435—437
Critical exponents, magnetization exponent ( $\beta$ )      150 435—437
Critical exponents, mean field theory      436
Critical exponents, PVT-systems      137—141
Critical exponents, table of      461
Critical exponents, triangular lattice      447—448
Critical exponents, van der Waals gas      139—141
Critical exponents, Widom scaling      427
Critical exponents, Wilson theory      428
Critical magnetic field (superconductors)      120—122
Critical point      97 103 136—141
Critical point, $He^{4}$       123—124
Critical point, binary mixture      157
Critical point, classical fluid      103 137—141
Critical point, correlation functions      431—433
Critical point, Ginzberg — Landau theory      129—134
Critical point, Ising model      483—484
Critical point, magnetic system      133 149—151
Critical point, superconductor      122
Critical point, van der Waals systems      137—141
Critical slowing down      722 765
Critical temperature, Bose — Einstein gas      389
Critical temperature, Fermi superfluid      413—414
Critical temperature, Ising mode      373
Critical temperature, Ising mode, exact (2-d)      483
Critical temperature, van der Waals gas      115—116
Critical wavevector, Benard instability      755
Critical wavevector, Brusselator      762
Cummins, H.Z.      600 649
Cumulant expansion      182
Cumulant expansion, grand potential      488
Curie point      see "Critical point" "Magnetic
Curie principle      543
Curie's law      21
Curran, P.F.      90 649
Current (flux), chemical reaction "current"      578—580
Current (flux), diffusion      580
Current (flux), energy current (hydrodynamic), simple fluid      536 539
Current (flux), energy current (hydrodynamic), superfluid      634
Current (flux), energy current (microscopic), classical      693
Current (flux), entropy current, random      612
Current (flux), entropy current, simple fluid      537 539
Current (flux), entropy current, superfluid      634—635
Current (flux), heat current      576
Current (flux), mass current      576
Current (flux), momentum current (hydrodynamic), convective      536
Current (flux), momentum current (hydrodynamic), pressure tensor      536
Current (flux), momentum current (hydrodynamic), random      612
Current (flux), momentum current (hydrodynamic), stress tensor      536
Current (flux), particle current (microscopic)      692
Curtiss, C.F.      89 526
Curvilinear coordinates      540
Cylindrical coordinates      540
Dauxois, T.      485
Davis, C.      485
De Boer, J.      166 335 526 649 718
de Broglie wavelength      385
De Donder, Th.      78
de Groot S.R.      649
De Kepper P.      766
de Witt C.      649
De Witt, A.      766
Debye frequency      366 406
Debye solid      364—368 406
Debye temperature      366 407
Debye, P.      364 422
Defay, R.      90 166
Degree of coexistence curve ( $\beta$ ), experimental values      138
Degree of coexistence curve ( $\beta$ ), magnetic system      150
Degree of coexistence curve ( $\beta$ ), P, V, T system      138
Degree of coexistence curve ( $\beta$ ), table of values      461
Degree of coexistence curve ( $\beta$ ), van der Waals gas      140
Degree of critical isotherm ( $\delta$ ), experimental values      137
Degree of critical isotherm ( $\delta$ ), magnetic system      149
Degree of critical isotherm ( $\delta$ ), P, V, T system      137
Degree of critical isotherm ( $\delta$ ), table of values      461
Degree of critical isotherm ( $\delta$ ), van der Waals gas      140
Degree of reaction      78—85 576
Degrees of freedom      285 387
Degrees of freedom, internal      360
Degrees of freedom, translation      360
Dekker, A.J.      422
Delos, E.      766
Delta correlated noise      251
Densities (microscopic), energy density      321
Densities (microscopic), kinetic energy operator      789
Densities (microscopic), momentum density      320
Densities (microscopic), number density operator      320 596 789
Densities (microscopic), spin density operator      789
Density fluctuations (particle number)      353 559 598
Density fluctuations (particle number), light scattering      598—600
Density matrix      see "Pobability density operator"
Density of states, bogolons      416

Density of states, Debye solid      366—368 406—407
Density of states, Einstein solid      367—368
Density of states, Fermi surface      400
Density of states, lattice vibrations      405 407
Density of states, lattice vibrations, aluminium      368
Density operator      see "Probability density operator"
Desai, R.C.      766
Detailed balance      230 244—246 578 681
Detailed balance, microscopic      555
Dewel, G.      764 766
Diamagnetism (superconductor)      119—120
diatomic molecules      424
Dickel, G.      649
Dieterici equation of state      94
Differentials      see "Exact differential"
Diffusion coefficient      see "Transport coefficients"
Diffusion equation, Brownian particle      271
Diffusion equation, Markov chain      241
Diffusion equation, mean free path arguments      663
Diffusional mobility      see "Transport coefficients"
Dilute solution      77
Dipole moment density      595
Direct correlation function      510—512
Discontinuous systems (membranes)      605—612
Dispersion relations      see also "Hydrodynamic normal modes"
Dispersion relations, lattice vibrations      402
Dispersion relations, sound      364
Dissipative structures      721—722 742
Distinguishable particles      347—348 362—381
Distribution function      see "Probability distribution function"
Divergences in virial expansion of correlation function      716
Donnelly, R.J.      650
Doppler shift (scattered light)      593
Dorfmann, J.R.      716 717 718
Driebe, D.J.      336
Dufty, J.W.      716 717 718
Dugdale, J.S.      89
Dulos, E.      766
Dyatic tensor      540
Dykman, M.      279
Easlea, B.R.      790
Efficiency of heat engine      25—26
Ehrenfest, P.      101 422
Ehrenfest, T.      422
Eigenvalues, Boltsmann collision operator      685
Eigenvalues, Hamiltonian      522—523
Eigenvalues, Lorentz — Boltzmann collision operator      686
Eigenvalues, nonsymmetric matrix      235—237
Eigenvectors      see "Eigenvalues"
Einstein diffusion coefficient      see "Transport coefficients"
Einstein fluctuation theory      349—354
Einstein fluctuation theory, fluid systems      351—354 560
Einstein solid      345—346 362—364
Einstein solid, entropy      345—346 363
Einstein solid, heat capacity      346 365
Einstein solid, Helmholtz free energy      363
Einstein solid, internal energy      346
Einstein, A.      230 279 349 422
Elastic collisions      670—679
Elder, K.R.      766
Electric polarization field      20
Electrical neutrality      86
Electrochemical potential      48 87 583 601 610
Electrolytes, thermodynamic properties      86—89
Electrolytes, transport      583—586 610
Electroosmosis      611
Electroosmotic pressure—EOP      611
Endothermic reaction      83
Energy absorption      see "Power absorption"
Energy current density      see "Current"
Energy shell      346
Energy surface      298 341
Energy surface, invariant area element      298—299
Engel, W.      766
Ensemble      296
Enthalpy      40—42
Enthalpy, ideal gas      41
Enthalpy, latent heat      103
entropy      29—31 341
Entropy of mixing      72—74
Entropy production      31 537
Entropy production, continuous multicomponent systems      574—586
Entropy production, continuous multicomponent systems, chemical reaction      578
Entropy production, continuous multicomponent systems, electron thermal and electric conduction      601
Entropy production, continuous multicomponent systems, general expression      577
Entropy production, continuous multicomponent systems, ion diffusion and conduction      583
Entropy production, continuous multicomponent systems, salt-water solution      585
Entropy production, continuous multicomponent systems, solvent-solute mixtures      580—581
Entropy production, continuous multicomponent systems, superfluid      635
Entropy production, discontinuous multicomponent systems (membranes), electrolytes      610—611
Entropy production, discontinuous multicomponent systems (membranes), water and solute      606
Entropy production, due to fluctuations      554
Entropy production, general expression near equilibrium      724
Entropy production, generalized Joule heating      539
Entropy production, minimum entropy production      724
Entropy production, simple fluid      539 543
Entropy, classical ideal gas (Sackur — Tetrode equation)      35 348 361
Entropy, Einstein solid      346
Entropy, Fermi superfluid      414
Entropy, Fermi — Dirac gas      414
Entropy, fluctuations in isolated systems      56 350 554
Entropy, Gibbs entropy      342
Entropy, H-theorem      680—682
Entropy, hydrodynamic equation      see "Balance equation"
Entropy, liquid $He^{3}$       125—126
Enz, C.P.      650
Epstein, I.R.      766
Equations of state, Berthelot equation      169
Equations of state, chemical      34
Equations of state, Curies law      21
Equations of state, Dieterici equation      94
Equations of state, elastic rod      19
Equations of state, electric polarization      20
Equations of state, general properties      34
Equations of state, ideal classical gas      16
Equations of state, mechanical      16—21 34
Equations of state, Pade approximate for hard-sphere gas      507
Equations of state, solids      19
Equations of state, surface tension      20
Equations of state, thermal      34
Equations of state, van der Waals equation      18
Equations of state, virial expansion for classical gas      17 498
Equations of state, virial expansion for quantum gas      17 519
Equilibrium      see "Thermodynamic equilibrium"
Equipartition of energy      253 284 326 356 368
Ergodic flow      296—303 322
Ergodic theorem      298 558
Ergodicity      286 300 349
Ergodicity, classical dynamical systems      296—303 343
Ergodicity, Markov chains      230
Ergodicity, Wiener — Khinchine theorem      557—558
Ernst, M.H.      717 718
Ertl, G.      766
Euler's equation      see "Fundamental equation"
Event (in probability theory)      175
Exact differential      11—16
Excape probability      202
Exothermic reaction      83
Extensive variables      12
Extremum principles, enthalpy      42
Extremum principles, entropy      31 57 344 354 377
Extremum principles, free energy      129
Extremum principles, Gibbs free energy      46 80 106 117
Extremum principles, Grand potential      50 143
Extremum principles, Helmholtz free energy      44
Fairbank, W.M.      127 166
Faraday (F)      48
Farquhar, I.E.      335
Feller, W.      225
Fermi energy      393 398

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