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Liboff R. — Kinetic Theory
Liboff R. — Kinetic Theory

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Название: Kinetic Theory

Автор: Liboff R.

Аннотация:

Kinetic Theory: Classical, Quantum, and Relativistic Descriptions goes beyond the scope of other works in the field with its thorough treatment of applications in a wide variety of disciplines. Its clear exposition and emphasis on concrete examples will make it not only an excellent graduate text but also a valuable resource for researchers in such disciplines as aerospace, mechanical, and chemical engineering; astrophysics, solid state and laser physics and devices, plasma physics, and controlled and thermonuclear fusion. Among the topics covered are: - The Liouville equation and analyses of the Liouville equation, including two independent derivations - The Boltzmann equation and Boltzmann's H-theorem - Analysis of the linearized collision operator - Fluid dynamics and irreversibility - Assorted kinetic equations with applications to plasmas and neutral fluids - Elements of quantum kinetic theory, including the Green's-function formalism and the Wigner-Moyal equation - Relativistic kinetic theory and Lorentz invariants - Kinetic properties of metals and amorphous media - Monte-Carlo analysis in kinetic theory - Kinetic study of shock waves This third revised edition features a new section on constants of motion and symmetry and a new appendix on the Lorentz-Legendre expansion. Each chapter concludes with a variety of problems, many of which provide self-contained descriptions of related topics; lists of such "topical problems" are included in the Table of Contents. Numerous appendices supply vector formulas and tensor notation, properties of special functions, physical constants, references, and a historical time chart.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 3-rd

Год издания: 2002

Количество страниц: 552

Добавлена в каталог: 16.04.2007

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\beta$-Brass      480
Acoustic phonons      379
Action integral      2 478
Action-angle variables      245
Activation energy      512
Adiabatic law      198 265
Alkali metals      487
Alloy      480
Alloy, binary      480
Alloy, ordered and disordered      480 520
Alumina      480
Amorphous media      506ff
Anderson, P.W.      508
Apsidal vector      142 302
Atmospheres, law of      see “Barometer formula”
Autocorrelation function      59 189 312 327
Autocorrelation function and Green’s function      441
Averages      see “Expectation”
Averages, ensemble      343
Averages, phase      37 241
Averages, phase density      125
Averages, time      242
Balazs, N.L.      354
Balescu — Lenard equation      313 316
Barometer formula      171
Barut, A.O.      455
BBKGY hierarchy      78
Bergman, P.G.      449
Bethe lattice      517
Birkhoff’s theorem      242
Black hole      478
Bloch, condition      492
Bloch, waves      508
Bogoliubov distribution      117
Bogoliubov hypothesis      115
Boltzmann equation      112 124 131 152
Boltzmann equation, assumptions in derivation      152
Boltzmann equation, quasi-classical      385 493
Bose — Einstein distribution      382 387
Boson, composite      439
brass      480
Brillouin zone      488
Bronze      480
Bruns’s theorem      253
Burnett equations      199
Canonical distribution      133 344
Canonical invariants      15
Canonical transformation      11 247
Carbon dioxide, viscosity      212
Central limit theorem      54 172 270
Chapman — Enskog expansion      194 265
Chapman — Kolmogorov equation      41 317
Characteristic curves      25
Characteristic function      48 69
Characteristics, method of      24 94 304
Chebyshev’s inequality      71
Christoffel symbol      473
Coarse graining      243
Collision frequency      194 297
Collision operator, linear      217
Collision operator, linear, negative eigenvalues      218
Collision operator, linear, spectrum for Maxwell molecules      220
Collision operator, linear, symmetry      217
Collision, inverse      147
Collision, reverse      148
Collisional invariants      155
Completely continuous operator      224
Conductivity      177 209 238
Conservation equations from BY and BY      83
Conservation equations, absolute      159
Conservation equations, relative      160
Constants of motion      4 243 254
Contravariant vectors      470
Convergent kinetic equation      315
Convolution integral      191
Coordinates, generalized      1
Correlation expansion      89 310
Correlation function      59 89
Correlation function, total      96 134
Coulomb gauge      464
Covariance      59 452
Covariant vectors      470
Cross section, scattering, Coulomb      145 234
Cross section, scattering, differential      143
Cross section, scattering, rigid sphere      145
Cross section, scattering, total      144
Current density, entropy      486
Current density, particle      486
Current density, thermal      486
Darwin Lagrangian      467
de Groot, S.R.      449
DeBroglie wavelength      364
Debye, distance      95 113 326
Debye, frequency      493
Debye, shielding potential      284
Debye, temperature      482 498
Debye, wave number      283 314 495
Deformation potential      379
Degeneracy, classical      250
Degeneracy, quantum      377
Degenerate plasma      377
Degrees of freedom      1
Density expansion      117
Density matrix      395 430
Density matrix, equation of motion      399
Density operator      331
Deuterium, liquid      259
Diagrammatic analysis      see “Prigogine analysis”
Dielectric function, plasma      see “Plasma”
Dielectric time      113
Diffusion      175
Diffusion coefficient      304 327
Diffusion equation      67 187
Diffusion, coefficient      483
Diffusion, mutual      181 208
Diffusion, self      180 188
Dispersion relation, degenerate plasma      377
Dispersion relation, warm plasma      286 377
Distribution functions, classical      see “Quantum distributions”
Distribution functions, classical, conditional      37
Distribution functions, classical, joint probability      36
Distribution functions, classical, reduced      37
Distribution functions, classical, s-tuple      38
Doppler effect      477
Drift-diffusion equation      177
Drude conductivity      177 239 407
Drude conductivity, covariant      460
Druyvesteyn distribution      236
Druyvesteyn distribution, absolute      237
Edwards, J.T.      510
Electrical conductivity      487
Electrical conductivity, temperature domains      512
Electrochemical potential      178 484
Electrodynamics, covariant      458
Electron gas      464
Electron mobility      see “Mobility electrical”
Electron-phonon scattering rate      see “Scattering rate”
Elliptic integrals, complete      221
Elyutin, P.V.      510
energy bands      369
energy equation      97
Energy shell      35 240
Ensemble      20
Ensemble, average      189 343
Entropy, Boltzmann      165
Entropy, change      275
Entropy, Gibbs      164 275
Equal a priori probabilities      345
Equation of state      97 134
Equipartition of energy      179 382
Ergodic hypothesis      241
Ergodic motion      240 264
Error function      545
Euler equations      198
Euler’s constant      542
Event, relativistic      450
Exchange transformation      13
Expectation and wave function      330
Expectation and Wigner distribution      353
Expectation of a classical function      37
Expectation of a random variable      47
Exponential integral      542
Exponents, critical      518
Extended states      506 521
Fermi energy      371 434
Fermi liquid      387
Fermi momentum      388
Fermi sphere      374
Fermi — Dirac distribution      371 387 483 492
Field tensor, electromagnetic      458
Flow chart      333
Fluid dynamical variables      see “Macroscopic variables”
Fock space      395 433
Fock space, Hamiltonian      433
Fock space, operator      396 438
Fokker — Planck equation      304 308 315 317 327
Four-current      453
Four-vector      451
Four-vector potential      453 459
Four-vector, covariant and contravariant      471
Four-wave vector      453
Free energy      518
Friction coefficient      304 327
Friedel oscillations      377
Gamma function      543
Gaussian distribution      56 59 173
Gauss’ equation      280 281
Generalized coordinates      1
Generalized potential      see “Potential”
Generating function      11
Goldstein, H.      455
Grad’s first and second equations      129 262
Grad’s method of moments      213
Grains      480
Grazing collisions      301 303
Green’s function equations, coupled      415 422
Green’s functions and averages      410
Green’s functions and Schroedinger equation      408
Green’s functions, diagrammatic representation      416 440
Green’s functions, retarded and advanced      415
Green’s functions, s-body      410 438
Group property, canonical transformations      15
Group property, Lorentz transformations      475
H-Theorem      166 392 446
Hamilton — Jacobi equation      248
Hamiltonian      4 61 66 139 254 262 272 274 396 399
Hamiltonian, relativistic      5 455 467
Hamilton’s equations      4
Hamilton’s equations, covariant      455
Hamilton’s principle      2 76
Hard potential      see “Potential”
Heisenberg picture      339 396 422 429
Henon — Heiles Hamiltonian      254
Henon — Heiles Hamiltonian, anti      274
Hermite polynomials, tensor      213 546
Hermiticity      27
hessian      257
Heteroclinic orbit      74
Hierarchies, quantum and classical, table of      402
Hillery, R.F.      354
Histogram, bin storage      323
Hole mobility      369
Homoclinic orbit      74
Honeycomb lattice      517
Hopping      506
Hopping, thermally assisted      513
Hopping, variable range      513
Hydrofracturing of a rock      515
Hypergeometric function      548
Hypergeometric function, confluent      548
Hypersonic flow      298
Ideal gas      30 270
Impact parameter      142
Incompressible phase density      24 136
Inelastic scattering      319
insulators      480
Integrable motion      254
Integral invariants of Poincare      68
Integral of motion      see “Constants of motion”
Inverse scattering      147
Ioffe — Regel minimum      512
Irreversibility      162 167 240
Jacobian      17
Jacobi’s identity      11
Jennings, B.K.      354
Joint probability distribution      see “Distribution functions”
Kagome lattice      517
Kam theorem      257 274
KBG equation      see “Krook — Bhatnager — Gross equation”
Kinetic equation, convergent      315
Kinetic equation, definition      82
Kinetic equation, photon      366
Kinetic equation, table of      296
Klimontovich picture      124 136
Kronicker-delta symbol, four dimensional      472
Krook — Bhatnager — Gross equation      96 194 295 328
Kubo formula, classical      192
Kubo formula, quantum      404
Kursunoglu, B.      456
Lagrange’s equations      3
Lagrange’s equations, covariant      472
Lagrangian      2 60 62 132
Lagrangian, relativistic      466 472
Laguerre polynomials      204 547
Landau damping      288 326 377
Landau equation      309 315
Large-mass consistency limit      503
Lasing criterion      368
Lattice, Bethe      517
Lattice, Honeycomb      517
Lattice, Kagome      517
Lattice, one-dimensional      522
Legendre expansion      227 261
Legendre polynomials      229
Legendre transformation      14
Length contraction      454
Levi — Civita symbol      538
Liapunov exponent      257
Lie derivative      135
Light cone      450
Liouville equation      22 78 344 399
Liouville equation in non-Cartesian coordinates      474
Liouville equation, one-particle      93
Liouville equation, relativistic      457
Liouville operator      27 98
Liouville operator, resolvent      33
Liouville theorem      17 276
localization      508
Localization in second quantization      520ff
Localization, length      510
Localized states      506
Logarithmic singularity      295 303
Long-time limit      110
Long-time tails      189 277
Lorentz, expansion      494
Lorentz, force      5 62
Lorentz, gauge      66 464
Lorentz, invariants      453
Lorentz, invariants in kinetic theory, table of      465
Lorentz, transformation      452 475
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