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Balescu R. — Equilibrium and nonequilibrium statistical mechanics
Balescu R. — Equilibrium and nonequilibrium statistical mechanics

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Название: Equilibrium and nonequilibrium statistical mechanics

Автор: Balescu R.

Аннотация:

The notion of irreversibility in physical systems has occupied the time of countless researchers for nearly 130 years. This book, written by one of the major contributors to nonequilibrium statistical physics from the Brussels group, is somewhat out of date now but nevertheless could still motivate modern developments. One will find a detailed account of what was emphasized by the Brussels group at the time of publication, and some of the contributions of the late Ilya Prigogine, who passed on in May of this year. I had the privelege of doing my graduate work in Prigogine's department at the University of Texas at Austin. This book was used heavily there, and so it brings back fond memories.


Язык: en

Рубрика: Физика/Термодинамика, статистическая физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1975

Количество страниц: 742

Добавлена в каталог: 26.07.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$C^X$-algebra      616
Alder, B.J.      292 688
Allen, P.      541 652
Allnatt, A.R.      652
Andersen, H.C.      292
Arnold, V.I.      728 729
Articulation point      193
Ashcroft, N.W.      292
Autocorrelation      see Correlation relation function two-time
Automorphism      10
Average, classical      38
Average, quantum      46
Average, reduced distribution functions      63
Average, Wigner functions      91
Avez, A.      729
Badger, P.H.      144
Balance equations, macroscopic      413 419 424 425 428
Balance equations, microscopic      672
Balescu, R.      55 105 226 227 408 477 499 512 568 569 570 601 614 650 651
Baus, M.      512 569 651
BBGKY (Bogoliubov — Born — Green — Kirkwood-Yvon) Hierarchy, classical      81 480 485
BBGKY (Bogoliubov — Born — Green — Kirkwood-Yvon) Hierarchy, many-times rdf      683
BBGKY (Bogoliubov — Born — Green — Kirkwood-Yvon) Hierarchy, quantum      98 490
Benford, G.      651
Berlin, T.H.      367
BHY (Born — Green — Yvon) equation      247
Binary Collision Expansion      627
Bingen, R.      568
Bird, R.B.      225 476
Birkhoff, G.D.      728
Bloch, C.      226
Bogoliubov, N.N.      104 233 255 567 626
Bohr, N.      476
Boltzmann equation      390
Boltzmann Equation, assumptions      391
Boltzmann Equation, general derivation      617
Boltzmann Equation, H-theorem      416
Boltzmann Equation, intuitive derivation      384
Boltzmann gas (equilibrium)      148
Boltzmann gas (equilibrium), partition function      150
Boltzmann gas (equilibrium), thermodynamic properties      153
Boltzmann, L.      407 414 441 475 727
Born, M.      104 225 255
Bose — Einstein condensation      180 296
Bose — Einstein distribution function      168 600
Bosons, dynamics      20 22
Bosons, ideal systems of bosons, grand partition function      162
Bosons, pair correlation      243
Bosons, thermodynamic functions      166
Bowers, R.L.      155
Brenig, L.      541 570
Brillouin function      299
Brout, R.      215 225 227 323 365 568 649
Brownian motion      372 644
Brueckner, K.A.      227
Burnett, D.      441 477
Callen, H.B.      687
Campbell, J.A.      155
canonical ensemble      119
Canonical transformations      11 17 39 49
Canonically conjugate variables      7
Carnahan, N.F.      292
Carruthers, P.      225
Case, K.M.      477 687
Cercignani, C.      475
Chandler, D.      292
Chandrasekhar, S.      184 407
Chapman — Kolmogorov equation      380
Chapman, S.      476 649
Characteristic temperature (internal degrees of freedom)      156 159
chemical potential      129 170
Chirikov, B.V.      728
Choh, S.T.      568 649
Clavin, P.      540 541 614
Cluster expansion      208
Cluster representation of reduced distribution functions      86 479 489
Cohen, E.G.D.      407 499 568 650 688
Cole, G.H.A.      652
Collective effects in plasmas      219 405 438 475 634 643
Collisional invariants      422 423 439 446
Collisions, binary      386
Collisions, duration of      375 589
Compressibility (isothermal)      126 131 135 234 318
Compressibility (isothermal) in critical domain      297 314
Conditionnally periodic motion      700
Configuration integral      186 197
Configurational free energy      186
Configurational free energy, dilute gas      210
Configurational free energy, plasma      224
Configurational free energy, weakly coupled gas      203
Convex envelope      310
Convolution      515 517
Correlation dynamics      488
Correlation function, and reduced distribution functions      682
Correlation function, and transport coefficients      462 646 563 674
Correlation function, classical      86 656
Correlation function, diagrams      606 612
Correlation function, fluctuation-dissipation theorem      668
Correlation function, kinetic component      545 5 593 595 605
Correlation function, long tails      676
Correlation function, quantum      100 161
Correlation function, two-time      657
Correlation Index      87
Correlation length (critical region)      320 341 347
Correlation pattern, classical      86 480 482 485
Correlation pattern, quantum      101 489 495
Correlations (correlation component of distribution vector)      507 509
Correlations (correlation component of distribution vector), kinetic correlations      393 545 574 593
Correlations (correlation component of distribution vector), non-kinetic correlations      554 584
Coulomb interactions      141 174 189 216 584 631 643
Cowling, T.      476 649
Cox, D.R.      407
Creation operator, Kinetic theory      544 552 560
Creation operator, Second quantization      23 28
Critical exponents      316 320 326 331 345 360 365 367
Critical point      294
Cross section, elastic collision      390
Cukier, R.I.      728
Cumulant      202
Curie point      296
Currie, D.G.      54
Curtiss, C.F.      225 476
Davidson, R.C.      651
Davis, T.H.      651
De Boer, J.      32 291
de Dominicis, C.      226
de Groot, S.R.      441
de Haan, M.      541
de Leener, M.      653 688
Debye length      221
Debye potential      221
Debye — Hueckel theory of electrolytes      219
Debye, P.      219 226
Defay, R.      144
Degeneracy (quantum)      167
Delcroix, J.L.      475
Density matrix (von Neumann)      46
Density, correlation      58
Density, mass      424
Density, number      58
Destruction operator, Kinetic theory      544 553
Destruction operator, Second Quantization      23 28
Diagrams (nonequilibrium), Boltzmann equation      618
Diagrams (nonequilibrium), classical BBGKY      83 482
Diagrams (nonequilibrium), correlation function      606 612
Diagrams (nonequilibrium), kinetic equation      606 612
Diagrams (nonequilibrium), Plasma kinetic equation      632
Diagrams (nonequilibrium), quantum BBGKY      495
Diagrams (nonequilibrium), spatially homogeneous systems      614
Diagrams (nonequilibrium), Vlassov propagator      611
Dielectric constant of plasma      642
Diffusion equation      382
Dilute gas, equilibrium properties      188 210 212
Dilute gas, nonequilibrium properties      see Boltzmann equation
Dimensionality, and critical phenomena      326 361
Dirac, P.A.M.      13 32 54
Direct correlation function      253 319
Dispersion equation      433 437
Dissipation, and irreversibiliy      421
Dissipativity condition      529 690
Distribution function, phase space      38
Distribution functions, and partition function      252
Distribution functions, density expansion      260
Distribution functions, equilibrium      229 239 241
Distribution functions, evolution      see BBGKY equaquation; Kinetic equation
Distribution functions, factorization property of kinetic component      603
Distribution functions, kinetic component      604
Distribution functions, many-times      681 683
Distribution functions, quantum      see Wigner function
Distribution functions, reduced, classical      61 76 84
Distribution functions, vacuum component      510
Distribution vector, classical      63 76 485
Distribution vector, correlation part of kinetic component      545
Distribution vector, equilibrium      561
Distribution vector, evolution      see Liouville equation Kinetic
Distribution vector, kinetic component      543
Distribution vector, many-times      684
Distribution vector, quantum      92 94 489 492
Distribution vector, vacuum component      507 510
Divergences, plasmas, kinetic equations      616
Divergences, plasmas, Landau equation      584 631
Divergences, plasmas, moderately dense gases, transransport coefficients      629
Divergences, plasmas, virial coefficients      218
Domb, C      367
Dorfmann, J.R.      144 650 688
Drummond, W.E.      651
Dupree, T.H.      651
Dwight, H.B.      166
Dynamical algebra      8 15
Dynamical functions      5 59
Dyson, F.      141 144
Ehrenfest, P. and T.      407 728
Eigenfunctions, linearized kinetic equation      446 456
Eigenfunctions, Schroedinger equation      13
Eigenvalues, linearized hydrodynamical equations      435
Eigenvalues, linearized kinetic equation      445 453 455 457
Eigenvalues, linearized kinetic equation, and transport coefficients      460
Eigenvalues, linearized plasmadynamical equations      439
Eigenvalues, Schroedinger equation      13
Electrical conductivity, of plasmas      663 669
Electron gas in metals      174
Emde, F.      173
Emmett, J.      184
Energy density and pair distribution      233
Energy density, Boltzmann gas      154
Energy density, Fermion gas      164 171 173
Energy density, internal      34 122 126 426
Energy density, Plasma      224
Energy surface      697
Ensemble, classical      36 38
Ensemble, quantum      45
Enskog equation      626
Enskog, D.      476 649
Entropy, balance equation      419
Entropy, Boltzmann gas      154 240
Entropy, Boson gas      181
Entropy, equilibrium      44 126 131
Entropy, H-theorem      414 416
Entropy, nonequilibrium, dilute gas and weakly coupled gas      416
Entropy, quantum ideal gas      244
Entropy, quantum ideal gas, and pair distribution      236 240 244
Equal a priori probabilities (principle of)      110 112 118
Equation of state, and hydrodynamics      430
Equation of state, and phase transitions      293
Equation of state, Boltzmann gas      154
Equation of state, Classical dilute gas      212
Equation of state, Hard sphere fluid      2 73 280
Equation of state, Ideal boson gas      181
Equation of state, Ideal fermion gas      166 171
Equation of state, Ideal quantum gas      164
Equation of state, Lennard — Jones fluid      290
Equation of state, Magnetic systems      295 300
Equation of state, Plasma      224
Equation of state, van der Waals fluid      302 311
Equilibrium ensembles      109 111 113 127
Equipartition of energy, principle of      154
Ergodic motion      719
Ergodic theorem      720
Ernst, M.H.      688
Exclusion principle      21
Extensive quantities      64 124
Falkenhagen, H.      226
Farquhar, I.E.      729
Felderhof, B.V.      650
Fermi energy      169 174
Fermi — Dirac distribution function      168 170 600
Fermi, E.      728
Fermions, dynamics      20 29
Fermions, ideal systems of fermions, grand partition function      162
Fermions, ideal systems of fermions, pair correlation function      243
Fermions, ideal systems of fermions, thermodynamic functions      166 170 173
Ferromagnetic systems      296 300 326 331 334 340 346 355 361
Feynman, R.P.      144
Field      33 37 409
Fisher, I.Z.      291
Fisher, M.      144 323 365 367
Fixed point, of renormalizaion-group equations      349 360 363
Fixman, M.      688
Flow, ergodic      720
Flow, in phase space      717
Flow, measure-preserving      718
Flow, mixing      721
Fluctuation-dissipation theorem      663 668
Fluctuations, equilibrium      133 135
Fluctuations, non-equilibrium      655
Foch, J.D.      477
Fock representation      26
Fock, V.      26 32
Fokker — Planck equation      382 405 644
Ford, G.W.      226 477 649
Ford, J.      728
Fowler, R.H.      144
Free energy, and partition function      125
Free energy, Boltzmann gas      153
Free energy, Dilute gas      208
Free energy, Expansion methods (graphs)      204 207
Free energy, Plasma      224
Free energy, Weakly coupled gas      203
Free enthalpy      129 131
Friction coefficient      373 646
Friedman, H.L.      226
Frieman, E.      650 651
Frisch, H.L.      291
Fuchs, K.      225
Fugacity      130
Functional      37 44 46 248 262 546 552 555
Fusion, laser-driven      175
Galavotti, G.      104
Gaussian distribution      374
Gaussian potential      579 580
Gell-Mann, M.      227
George, C.      536 540 541 569 690
Gibbs, J.W.      54 728
Goldmann, J.      650
Goldstein, H.      32 728
Grad, H.      441 475 477 649
Gradshtein, I.S.      173
grand canonical ensemble      128
Grand partition function      128 162 163
Graphs (equilibrium), connected      193
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