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Prigogine I., Rice S.A. — Advances in chemical physics. Volume 117
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Íàçâàíèå: Advances in chemical physics. Volume 117Àâòîðû: Prigogine I., Rice S.A. Àííîòàöèÿ: Providing the chemical physics field with a forum for critical, authoritative evaluations in every area of the discipline, the latest volume of Advances in Chemical Physics continues to provide significant, up-to-date chapters written by internationally recognized researchers.
This volume is essentially devoted to helping the reader obtain general information about a wide variety of topics in chemical physics. Advances in Chemical Physics, Volume 117 includes chapters addressing laser photoelectron spectroscopy, nonadiabatic transitions due to curve crossings, multidimensional raman spectroscopy, birefringence and dielectric relaxation in strong electric fields, and crossover formulae for Kramers Theory of thermally activated escape rates.
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Brownian motion, Kramers reaction rate theory, Klein — Kramers equation, velocity distribution 521—522 Brownian motion, Kramers reaction rate theory, Langevin/Fokker — Planck equations 493—497 Brownian motion, Kramers reaction rate theory, rigid Brownian rotator escape rates, bistable potential Green function time evolution, Fokker — Planck equation, zero-frequency limit, delta function orientation distribution 745—749 Brownian motion, Kramers reaction rate theory, rigid Brownian rotator escape rates, bistable potential Green function time evolution, integral expression of escape time 743—745 Brownian motion, Kramers reaction rate theory, rigid Brownian rotator escape rates, bistable potential Green function time evolution, principles 741—743 Brownian motion, Kramers reaction rate theory, rigid Brownian rotator escape rates, bistable potential Green function time evolution, series expression for summit time 752—753 Brownian motion, Kramers reaction rate theory, rigid Brownian rotator escape rates, bistable potential Green function time evolution, uniaxial anisotropy explicit expression 753—758 Brownian motion, Kramers reaction rate theory, rigid Brownian rotator escape rates, bistable potential Green function time evolution, zero-frequency limit recurrence relations 749—752 Brownian motion, Kramers reaction rate theory, rotational Brownian motion 501—504 Brownian motion, Kramers reaction rate theory, rotational Brownian motion, dielectric relaxation 566—569 Brownian motion, Kramers reaction rate theory, rotational Brownian motion, integral relaxation time 578—579 Brownian motion, Kramers reaction rate theory, rotational Brownian motion, magnetic relaxation, single-domain ferromagnetic particles 561—566 Brownian motion, Kramers reaction rate theory, rotational Brownian motion, magnetocrystalline anisotropy, axially symmetric potentials 570—575 Brownian motion, Kramers reaction rate theory, rotational Brownian motion, mean first passage time escape rate calculation 575—578 Brownian motion, Kramers reaction rate theory, rotational Brownian motion, nonlinear relaxation, strong external field, one-dimensional model 307—317 Brownian motion, Kramers reaction rate theory, rotational Brownian motion, orientational relaxation, rotational diffusion model 293—300 Brownian motion, Kramers reaction rate theory, rotational Brownian motion, orientational relaxation, Smoluchowski equation 300—303 Brownian motion, Kramers reaction rate theory, rotational Brownian motion, reaction rate theory 487—490 Brownian motion, Kramers reaction rate theory, rotational Brownian motion, rotational diffusion, mean field potential, matrix continued fractions, complex susceptibility 444—446 Brownian motion, Kramers reaction rate theory, rotational Brownian motion, superparamagnetic particle relaxation 446—460 Brownian motion, Kramers reaction rate theory, rotational Brownian motion, superparamagnetic particle relaxation, strong dc field, Langevin equation 447—450 Brownian motion, Kramers reaction rate theory, rotational Brownian motion, superparamagnetic particle relaxation, transient nonlinear response 450—456 Brownian motion, Kramers reaction rate theory, rotational Brownian motion, superparamagnetic particle relaxation, uniaxial particles, ac/dc bias magnetic fields 456—459 Brownian motion, Kramers reaction rate theory, rotational Brownian motion, theoretical summary 490—493 Bruckner, V. 251(35) 271 Brundle, C.R. 6(27) 28(27) 117 Brundobler, S. 131(41) 201(41) 231 Brychkov, Yu.A. 757(92) 765 Buck, J.D. 10(80) 119 Buckingham, A.D. 401(84—85 87) 402(85) 479—480 Buenker, R.J. 60(159) 121 Buhl, H. 254(47) 272 Build-up processes, nonlinear dielectric and birefringent high fields, relaxation times 286—288 Bulgin, D.K. 71(166) 74(166) 76(200) 81(166) 122—123 Buma, W.J. 5(18) 6(25 36—37 39—40 42—43 45—46) 7(18 36—37 43 47—50 52—54 57—58) 8(18) 11—13(25) 16(25) 19(25) 22(25) 25(25) 28(25) 33—34(25) 43(40 53 140) 44(40) 46—47(40) 48(52 54) 49(54) 51(54) 52—54(140) 55(53) 56(40 52—54 140) 58(40) 59(39—40) 60(39) 72—75(194) 77(194) 81(48—50 203) 82(48 203) 83(42 48—50 203) 85(48) 86—88(42) 89(46) 90—91(50) 92(48) 93(25 203) 94(49 203) 95(203) 96(50) 97(48—50) 99(50) 100(282) 101—105(43) 106—108(47) 109(45) 111(45) 113(47) 114(46—47) 116(46) 117—118 121—123 125 Buntine, M.A. 10(83) 119 Buontempo, J.T. 257(71) 272 Burak, I. 97(261) 124 Burghardt, I. 762(99) 765 Burnside, W.S. 707—708(87) 764 Burshtein, A.I. 278(11) 416—417(11) 428(11) 433(11) 438(11) 477 Burylov, S.V. 283(35—36) 292—293(35—36) 478 Busing, D. 568(83) 626(83) 741(83) 764 Buttiker, M. 133(61—62) 182(61—62) 232 Caldeira, A.O. 133(63) 182(63) 232 Callomon, J.H. 86(227 229) 123 Carbon dioxide, laser photoelectron spectroscopy, superexcited states 92—93 Carbondisulfide, laser photoelectron spectroscopy, REMPI-PES, advantages of 97 Carbondisulfide, laser photoelectron spectroscopy, Rydberg complexes 83—85 Carbondisulfide, vibronic coupling 86—92 Carlson, M. 10(64) 119 Carnell, M. 106—108(290) 125 Carroll, C.E. 131(43) 205(43) 231 Carter, R.T. 71(172) 122 Cauchy's integral formula, Kramers reaction rate theory, crossover between IHD/VLD regimes, prefactor calculations 646—650 Cauchy's integral formula, Kramers reaction rate theory, crossover between IHD/VLD regimes, series representation, radius of convergence 665—669 Cauchy's integral formula, Kramers reaction rate theory, crossover between IHD/VLD regimes, Wiener — Hopf integral equation, energy distribution function 644—646 Causley, G.C. 113—114(299) 125 Cavalli, S. 162(88) 233 Cellular frozen Gaussian wave packet propagation (CFGW), nonadiabatic transitions, multichannel and multidimensional problems 131 Cellular frozen Gaussian wave packet propagation (CFGW), two-state curve crossing, nonadiabatic transitions, multidimensional problems 168 Celotta, R.J. 86(234) 124 Centrifugal barrier, (1 + 1') resonance-enhanced multiphoton ionization, hydrogen molecules 32—34 Cha, C.-S. 373(80) 479 Chaillet, M. 125 Chain rule, Kramers reaction rate theory, crossover between IHD/VLD regimes, Fokker — Planck equation 636—637 Chain rule, Kramers reaction rate theory, crossover between IHD/VLD regimes, Fokker — Planck equation, right-hand side operators 635 658 Chain rule, Kramers reaction rate theory, Klein — Kramers equation, small viscosity model, energy-phase variables 534—535 Chambaud, G. 93(246—248) 124 Chandler, D.W. 10(83) 119 Chandrasekhar, S. 491(15) 493(15) 531(15) 762 Chapman — Enskog method, Kramers reaction rate theory, Smoluchowski equation, large viscosity model 547 Chapman — Kolmogorov equation, Kramers reaction rate theory, rotational Brownian motion, single domain ferromagnetic particles 565—566 Chapman, S. 499(8) 509(8) 547(8) 762 Chaudet, B. 674(85) 741(85) 764 Chernyak, V. 257(67 73—74) 264—265(67) 272 Cheung, W.-Y. 97(261) 124 Chi, F.K. 71(179) 122 Chida, K. 10(61) 119 Chikahiro, Y. 32(105) 120 Child, M.S. 128(5) 134(5) 137(75) 156(82) 170(5) 230 232—233 Chlorofluorocarbons (CFCs), CIO radical breakdown and 70—72 Cho, M. 236(4) 248(28) 257(80 89—91) 262(97—98) 263(98) 264(90—91 100) 265—266(98) 270(97) 270—273 Chu, J.-J. 59(157) 66(157) 121 Chu, S.I. 131(45) 133(45) 214(45) 215(45 100) 231 233 Chupka, W.A. 10(59) 42(59) 36—37(118) 39—40(118) 100—101(281) 119—120 125 CIO radical, laser photoelectron spectroscopy 70—81 CIO radical, laser photoelectron spectroscopy, C Rydberg state 78—81 CIO radical, laser photoelectron spectroscopy, diatomic radicals 70—81 CIO radical, laser photoelectron spectroscopy, E, F, and G Rydberg states 73—77 Clark, L.B. 106—109(287) 111(287) 113(287) 125 Clark, T.A. 35(112) 120 Clary, D.E. 162(86) 233 Classical trajectories, two-state curve crossing, nonadiabatic transitions, multidimensional problems 168 Clebsch — Gordan coefficients, Kerr effect relaxation, molecular hyperpolarizability, nonlinear step-on response 404—412 Clebsch — Gordan coefficients, orientational relaxation, rotational diffusion model 299—300 Clebsch — Gordan coefficients, superparamagnetic particle relaxation, strong dc magnetic field 450 Clement, S.G. 6(38) 59(38 153 156 158) 62—65(38) 66(38 156) 118 121 Clyne, M.A.A. 71(169—170) 122 Coffey, W.T. 277(6—8) 278(8) 283(30—32) 286—287(31) 288(40) 289(45) 291(45) 295(8 31) 297(8) 300(8) 304—307(8) 309(30—32) 311(30—31) 316(31) 327(32) 331(8 31) 333(31) 336(30) 337(8 31) 338(8) 339(30) 340(31) 353(8) 358(73) 380(45) 383(82—83) 416(8) 437(40) 439(7) 446(6—8) 448(131) 451(6) 454(6 32) 459(134) 460(8) 463(8) 477—479 488(5) 489(5—6 59 70) 490(6) 491(5—6) 492(36) 493(5—6) 494(5) 495(5 30—31) 501(36) 502(39) 503(70) 504(65) 505(5 39) 509(5) 510(5 30—31) 511—512(5) 515(31 39) 521—522(5) 528(5) 541(45) 542—534(5) 547(5) 554(5) 563(5) 565(5 39) 566(5 51—52 57) 568(36) 569(36 39) 571(5 54 68) 572(68) 574(59 68) 578(5 57—58 60 68) 579(5 39 65) 581(68) 584(65) 593(65) 597—598(65) 610(45) 612(5) 613(66 68 70) 614(68) 617(68) 622(5) 624—625(70) 626(36 58 66 70) 629(5) 656(70 84) 674(52 68 86) 675—676(70) 678(70) 682—683(65) 684(65 70) 686(65) 690(70) 694(45 66 70) 695(70) 702(70) 7065) 706(84) 707(52) 709(65) 742(58) 745(5 58) 749—750(5) 752(5) 753(5 54 56) 754(5) 755(5 54 56) 756(56 68) 758(68) 759(6 68) 761(5 36 84) 762—764 Cohen, E.A. 71—72(183) 122 Coherent anti-Stokes Raman scattering (CARS), intermolecular vibrations 243—246 Coherent anti-Stokes Raman scattering (CARS), intramolecular vibrations 237—243 Coherent anti-Stokes Raman scattering (CARS), noisy light 266 Coherent anti-Stokes Raman scattering (CARS), principles of 236—237 Cole-Cole diagrams, dynamic Kerr effect, weak ac electric field steady-state response superimposed on dc bias field 358—360 Cole-Cole diagrams, nonlinear Brownian relaxation, strong electric fields, rigid polar molecules, superimposed ac/dc electric fields 378—382 Colin, R. 66(161) 122 Collins, S. 125 Collision processes, inertial effects, dielectric and birefringence relaxation, extended rotational diffusion model 417—425 Collision processes, inertial effects, dielectric and birefringence relaxation, spectra and relaxation times 433—439 Collision processes, nonadiabatic curve crossings 132 Collision processes, nonadiabatic curve crossings, multidimensional problems 162—168 Colson, S.D. 99(266—269) 100(268—269 281) 101(281) 124—125 Comer, J. 84(220) 123 Comes, F.J. 40(131) 59(154) 121 Complementary solutions, continued fraction technique, differential-recurrence equations, moment systems 305—307 Complete reflection phenomenon, two-state curve crossing, nonadiabatic transitions, Landau — Zener — Stueckelberg problems, nonadiabatic tunneling case 148—151 Complex susceptibility, rotational diffusion, mean field potential, matrix continued fractions 442—446 473—477 Compton, R.N. 3(11) 777 Concentration fluctuations, Raman-echo spectroscopy, liquid molecules 253—256 Confluent hypergeometric function, nonlinear dielectric and birefringent high fields, build-up processes 286—288 Confluent hypergeometric function, nonlinear dielectric and Kerr effect relaxation, strong dc electric fields, step-on response 337—340 Confluent hypergeometric function, time-dependent level crossings, nonadiabatic transitions 202—206 Connor, J.N.L. 162(86) 233 Conservation of density in phase principle, Liouville equation, Klein — Kramers derivation 506—508 Conservation of extension, Liouville equation, Klein — Kramers derivation 506—508 Constantatine, S. 269(123—124) 274 Continued fraction technique see also "Matrix continued fraction technique" Continued fraction technique, differential-recurrence equations, moment systems, ordinary vs.matrix techniques 303—307 Continued fraction technique, Kramers reaction rate theory, rigid Brownian rotator escape times, bistable potential, Green function time evolution, uniaxial anisotropy 753—762 Continued fraction technique, nonlinear dielectric and birefringence relaxation, perturbation solutions, second-order solutions 365—368 Continued fraction technique, nonlinear dielectric and Kerr effect relaxation, strong dc electric fields, step-on response, induced dipole effect 336—340 Continued fraction technique, nonlinear dielectric and Kerr effect relaxation, strong dc electric fields, step-on response, permanent dipole effect 340—343 Continuity equations, Kramers reaction rate theory, axial/nonaxial symmetric potentials, escape rates 677—681 Continuity equations, Kramers reaction rate theory, intermediate-to-high damping (IHD) limit, Langer's treatment of 586—588 Continuity equations, Kramers reaction rate theory, Klein — Kramers equation 495—497 Continuity equations, Kramers reaction rate theory, Klein — Kramers equation, probability density, state space evolution 517—520 Continuity equations, Kramers reaction rate theory, Klein — Kramers equation, small viscosity model, VLD escape rate calculation 539—541 Continuity equations, Liouville equation, Klein — Kramers derivation 507—508 Convergence, Kramers reaction rate theory, crossover between IHD/VLD regimes, series representation, radius of convergence 665—669 Convergence, Kramers reaction rate theory, rigid Brownian rotator escape times, bistable potential, Green function time evolution, uniaxial anisotropy 755—758 Cooper minima, laser photoelectron spectroscopy, OH radicals 40—42 Cooper minima, NH radical spectroscopy 67—70 Cooper minima, SH radical spectroscopy 49—54 Cooper, M.J. 72(193) 122 Cornaggia, C. 10(77—78) 779 Correlation function, dynamic Kerr effect, weak ac electric field steady-state response superimposed on dc bias field, inertial effects, dielectric and birefringence relaxation, dielectric response 425—428 Correlation function, dynamic Kerr effect, weak ac electric field steady-state response superimposed on dc bias field, inertial effects, dielectric and birefringence relaxation, extended rotational diffusion model 418—425 Correlation function, dynamic Kerr effect, weak ac electric field steady-state response superimposed on dc bias field, inertial effects, dielectric and birefringence relaxation, spectra and relaxation times 431—439 Correlation function, dynamic Kerr effect, weak ac electric field steady-state response superimposed on dc bias field, integral representation 354—356 Correlation function, dynamic Kerr effect, weak ac electric field steady-state response superimposed on dc bias field, relaxation function 352—353 Correlation time, dynamic Kerr effect, integral representation, weak ac electric field steady-state response superimposed on dc bias field 354—356 Correlation time, nonlinear Brownian relaxation, strong electric fields, one-dimensional relaxation models 309—317 Cossart-Magos, C. 84(222) 93(241—242 248—249) 123—124 Coupled equations, molecular control, time-dependent external fields 212—214 Coupled equations, strong electric fields, polar and polarizable molecules, ac/dc bias electric fields 382—394 Coupled equations, time-dependent level crossings, nonadiabatic transitions 193—201 Coupled equations, two-state curve crossing, nonadiabatic transitions, Landau — Zener — Stueckelberg problems 134—151 Couris, S. 84(222 225—226) 89(225) 92(225) 123 Courteau, R. 289(42) 373(42) 462(42) 478 Coveney, P.V. 137(75) 232 Cowling, T.G. 499(8) 509(8) 547(8) 762 Coxon, J.A. 35(113) 71(182 184 186—188) 72(182 184) 77(184) 78(182) 120 122 Cregg, P.J. 502(39) 505(39) 515(39) 565(39) 569(39) 579(39) 763 Cresser, J.D. 373(80) 479 Creutzberg, F. 86(227) 123 Critical energy curve, Kramers reaction rate theory, Klein — Kramers equation, small viscosity model 542—543 Cross-peak profiles, fifth-order Raman spectroscopy, intramolecular vibrations 265 Crossover formulas, Kramers reaction rate theory, axial/nonaxial symmetric potentials, escape rates, energy diffusion, proof 695—696 717—718 Crossover formulas, Kramers reaction rate theory, axial/nonaxial symmetric potentials, escape rates, high damping regimes 690—964 Crossover formulas, Kramers reaction rate theory, axial/nonaxial symmetric potentials, escape rates, notation 678—681 Crossover formulas, Kramers reaction rate theory, axial/nonaxial symmetric potentials, escape rates, uniaxial perturbation 705—706 737—740 Crossover formulas, Kramers reaction rate theory, axial/nonaxial symmetric potentials, escape rates, uniaxial/LD crossovers 698—703 Crossover formulas, Kramers reaction rate theory, intermediate-to-high damping (IHD) regime, Langer's treatment of 584—588 Crossover formulas, Kramers reaction rate theory, Klein — Kramers equation, range of validity, IHD/VLD regimes 549—550 Crossover formulas, Kramers reaction rate theory, Klein — Kramers equation, reaction rate calculations 530—531 Crossover formulas, Kramers reaction rate theory, linearized Klein — Kramers equation, potential barrier summit, IHD regimes 523—524 Crossover formulas, Kramers reaction rate theory, VLD/IHD regimes, double well potential bridging formula 650—655 Crossover formulas, Kramers reaction rate theory, VLD/IHD regimes, double well potential bridging formula, population proof 672—674 Crossover formulas, Kramers reaction rate theory, VLD/IHD regimes, double well potential bridging formula, Wiener — Hopf Fourier transforms 669—672 Crossover formulas, Kramers reaction rate theory, VLD/IHD regimes, energy variance proof 663—664 Crossover formulas, Kramers reaction rate theory, VLD/IHD regimes, ERFC proof 668—669 Crossover formulas, Kramers reaction rate theory, VLD/IHD regimes, escape rate prefactor, TST expression 632—634 Crossover formulas, Kramers reaction rate theory, VLD/IHD regimes, Fokker — Planck equation, energy-action, right-hand energy diffusion operator 657—658 Crossover formulas, Kramers reaction rate theory, VLD/IHD regimes, Fokker — Planck equation, energy-action, variables 634—637 Crossover formulas, Kramers reaction rate theory, VLD/IHD regimes, Green's function, energy diffusion, proof 659—663 Crossover formulas, Kramers reaction rate theory, VLD/IHD regimes, Green's function, energy diffusion, variables 638—639 Crossover formulas, Kramers reaction rate theory, VLD/IHD regimes, integral formula for prefactor A 646—650 Crossover formulas, Kramers reaction rate theory, VLD/IHD regimes, integral formula for prefactor A, radial convergence proof 665—667 Crossover formulas, Kramers reaction rate theory, VLD/IHD regimes, integral formula for prefactor A, series expression of convergence 667—668 Crossover formulas, Kramers reaction rate theory, VLD/IHD regimes, magnetic relaxation applications 656—657 Crossover formulas, Kramers reaction rate theory, VLD/IHD regimes, metastable decay rate, whole damping range 655—656 Crossover formulas, Kramers reaction rate theory, VLD/IHD regimes, particle crossover 631—632 Crossover formulas, Kramers reaction rate theory, VLD/IHD regimes, single oscillation expression 658—659 Crossover formulas, Kramers reaction rate theory, Wiener — Hopf solution, energy distribution function distribution equation 639—646 Crossover formulas, Kramers reaction rate theory, Wiener — Hopf solution, energy distribution function distribution equation, Fourier transform proofs 664—665 Crothers, D.S.F. 128(7) 134(7) 230 358(73) 448(131) 459(134) 479 487 489(59 70) 503(70) 566(52) 571(54) 574(59) 613(70) 624—626(70) 656(70 84) 674(52 86) 675—676(70) 678(70) 684(70) 690(70) 694—695(70) 702(70) 706(84) 707(52) 753(54 56) 755(54 56) 756(56) 761(84) 763—764 Cubic equation, Kramers reaction rate theory, axial/nonaxial symmetric potentials, escape rates, divergence of 707—709 Cubic potential, dielectric relaxation of linear molecules 439—441 Cummins, H.Z. 245(17) 271 Curve crossings, nonadiabatic transitions, attractive exponential potential models 178—181 Curve crossings, nonadiabatic transitions, exponential potential model 169—172 Curve crossings, nonadiabatic transitions, future research issues 229—230 Curve crossings, nonadiabatic transitions, limitations of 181—182 Curve crossings, nonadiabatic transitions, multichannel processes 152—161 Curve crossings, nonadiabatic transitions, multichannel processes, energies greater than adiabatic channel 155—156 Curve crossings, nonadiabatic transitions, multichannel processes, energies lower than adiabatic channel 156—159 Curve crossings, nonadiabatic transitions, multichannel processes, numerical applications 159—161 Curve crossings, nonadiabatic transitions, multichannel processes, open channel cases 153—155 Curve crossings, nonadiabatic transitions, multidimensional problems 161—168 Curve crossings, nonadiabatic transitions, repulsive exponential potential models 175—178 Curve crossings, nonadiabatic transitions, research background 128—132 Curve crossings, nonadiabatic transitions, Rosen — Zener — Demkov model 172—175 Curve crossings, nonadiabatic transitions, time-dependent external fields, molecular control, exponential nonadiabatic transition 224—229 Curve crossings, nonadiabatic transitions, time-dependent external fields, molecular control, Landau — Zener nonadiabatic transition 215—219 Curve crossings, nonadiabatic transitions, time-dependent external fields, molecular control, laser field control 214—229 Curve crossings, nonadiabatic transitions, time-dependent external fields, molecular control, Rosen — Zener nonadiabatic transition 219—224 Curve crossings, nonadiabatic transitions, time-dependent external fields, molecular control, theoretical background 206—214 Curve crossings, nonadiabatic transitions, two-state Landau — Zener — Stueckelberg problems, complete solutions 134—151 Curve crossings, nonadiabatic transitions, two-state Landau — Zener — Stueckelberg problems, historical background 133—134 Curve crossings, nonadiabatic transitions, two-state Landau — Zener — Stueckelberg problems, Landau — Zener case 142—146 Curve crossings, nonadiabatic transitions, two-state Landau — Zener — Stueckelberg problems, tunneling case 146—151 Dabrowski, I. 12(87) 24(87) 119 Dagdigian, P.J. 59(157) 121 Dalgarno, A. 32(107) 35—36(116) 120 Damping regimes see also "Specific regimes" "Intermediate-high "Very-low-damping Damping regimes, Kramers reaction rate theory, axial/nonaxial symmetric potentials, escape rates, crossover formulas, high damping regimes 690—964 Damping regimes, Kramers reaction rate theory, crossover between IHD/VLD regimes, decay rate, metastable state 655—656 Damping regimes, Kramers reaction rate theory, Klein — Kramers equation, range of validity 550—551 Damping regimes, Kramers reaction rate theory, Klein — Kramers equation, reaction rate calculations 528—531 Damping regimes, Kramers reaction rate theory, Langevin — Fokker — Planck equations 496—497 Damping regimes, Kramers reaction rate theory, rotational Brownian motion, axial symmetry, magnetocrystalline anisotropy 570—575 Danared, H. 10(63—64 66) 119 Darmon, I. 440(119) 480 Datz, S. 10(63 66) 119 Davidson, E.F. 38(125) 121 Davidson, W.R. 125 Davis, H.F. 71(176) 122 Dawson's integral, nonlinear dielectric and Kerr effect relaxation, strong dc electric fields 334—347 DC magnetic field, bias field, weak electric field steady-state response superimposed on, dynamic Kerr effect 347—358 DC magnetic field, bias field, weak electric field steady-state response superimposed on, dynamic Kerr effect, activation law behavior 356—358 DC magnetic field, bias field, weak electric field steady-state response superimposed on, dynamic Kerr effect, correlation time integral representation 354—356 DC magnetic field, bias field, weak electric field steady-state response superimposed on, dynamic Kerr effect, dipole moment evaluations 351—353 DC magnetic field, bias field, weak electric field steady-state response superimposed on, dynamic Kerr effect, linear response theory 347—349 DC magnetic field, bias field, weak electric field steady-state response superimposed on, dynamic Kerr effect, relaxation function and times, evaluation of 353—354 DC magnetic field, bias field, weak electric field steady-state response superimposed on, dynamic Kerr effect, transient and relaxation times 350—351 DC magnetic field, bias field, weak electric field steady-state response superimposed on, perturbation solutions 358—373 DC magnetic field, bias field, weak electric field steady-state response superimposed on, perturbation solutions, dispersion plots 368—373 DC magnetic field, bias field, weak electric field steady-state response superimposed on, perturbation solutions, equilibrium and first-order solutions, matrix continued fractions 362—364 DC magnetic field, bias field, weak electric field steady-state response superimposed on, perturbation solutions, second-order solutions 364—368 DC magnetic field, inertial effects, dielectric and birefringence relaxation, extended rotational diffusion model 417—425 DC magnetic field, nonlinear dielectric relaxation, rigid polar molecules, superimposed ac/dc electric fields 373—382 DC magnetic field, nonlinear dielectric/dynamic Kerr relaxation, exact solutions 330—347 DC magnetic field, nonlinear dielectric/dynamic Kerr relaxation, exact solutions, step-on response, induced dipole effect 336—340 DC magnetic field, nonlinear dielectric/dynamic Kerr relaxation, exact solutions, step-on response, permanent dipole effect 340—343 DC magnetic field, nonlinear dielectric/dynamic Kerr relaxation, problem formulation and solution 317—330 DC magnetic field, nonlinear dielectric/dynamic Kerr relaxation, problem formulation and solution, relaxation spectra evaluation 343—347 DC magnetic field, nonlinear dielectric/dynamic Kerr relaxation, problem formulation and solution, relaxation time/spectra evaluation 340—343 DC magnetic field, superparamagnetic particle relaxation, Langevin equation approach 447—450 DC magnetic field, superparamagnetic particle relaxation, uniaxial potential, superimposed ac/dc bias magnetic fields 456—460 de Beer, E. 6(35 38—39) 7(35 51 55—56) 36—37(118) 38(51) 39(118) 40(51 118) 48(51 56) 59(38—39 55) 60(39) 62—65(38) 66(38 55—56) 68—70(56) 118 120 de Boeij, W.P. 236(2—3) 270 De Lange, A. 29—31(97) 33(97) 120 de Lange, C.A. 5(16—18) 6(24—26 35—46) 7(17—18 35—37 43—44 47—58) 8(16—18 24) 9(17) 11—13(25) 16(25) 19(25) 22(25) 23—24(26) 25(25) 28(25—26) 29—31(97) 33(25 97) 34(25) 36—37(118) 38(51) 39(118) 40(51 118) 43(23 40—41 53 140) 44(40) 46—47(24 40—41) 48(17 51—52 54 56) 49(54) 51(54) 52—54(140) 55(53) 56(40 52—54 140) 58(40) 59(38—40 55) 60(39) 62(38 41) 63—65(38) 66(17 38 55—56) 67—70(56) 72(194 199) 73—75(194) 77(194) 78—80(199) 81(48—50 199 203) 82(43 48—50 203) 83(43 48—50 203—204) 85(48) 86—88(42) 89(46) 90—91(50) 92(48) 93(25—26 203) 94(49 203) 95(203) 96(50) 97(48—50) 99(50) 100(282) 101(43—44) 102—103(43) 104(43—44) 105(43) 106—108(47) 109(45) 111(24 45) 113(46) 114(46—47) 116(46) 117—118 120—123 125 De Raedt, B. 439(117) 440(117 120) 480 de Rozario, R.A. 504(63) 580(63) 593(63) 764 De Smet, K. 289(42—43) 373(42—43) 462(42—43 136—137) 478 481 De Vault, D. 132(49) 232 Debiais, G. 277—278(5) 289(5 47 49—50) 290(47) 291(49—50) 293(5) 477—478 Debye relaxation, ac field responses, dielectric responses 289—291 Debye relaxation, dynamic Kerr effect, weak ac electric field steady-state response superimposed on dc bias field 358 Debye relaxation, inertial effects, dielectric and birefringence relaxation, spectra and relaxation times 429—439 Debye relaxation, Kramers reaction rate theory, Klein — Kramers equation, "black water" phenomenon 522 Debye relaxation, Kramers reaction rate theory, rigid Brownian rotator escape times, bistable potential, Green function time evolution, Fokker — Planck equation with delta function 746—749 Debye relaxation, Kramers reaction rate theory, rotational Brownian motion, dielectric relaxation 566—569 Debye relaxation, nonlinear dielectric and birefringence relaxation 281—283 Debye relaxation, nonlinear dielectric and birefringence relaxation, perturbation solutions 368—373 Debye relaxation, orientational relaxation, rotational diffusion model 295—300 Debye, P. 289(41) 478 491(18—19) 494(19) 548(19) 566(18—19) 569(19) 757(19) 761(19) 762 Decay rate, Kramers reaction rate theory, crossover between IHD/VLD regimes, metastable states 655—656 Decay rate, Kramers reaction rate theory, rigid Brownian rotator escape times, bistable potential, Green function time evolution, zero frequency limit, recurrence relations 750—752 Decker, L.K. 59(147) 121 Degenerate bend, OCS fragmentation 93—97 Deguchi, H. 133(69) 232 Dehmer, J.L. 3(9—10) 10(67 72—75 84—85) 12(9) 15(67) 21(84) 38(72) 117 119 Dehmer, P.M. 3(9—10) 10(67 72—75 84—85) 12(9) 15(67) 21(84) 38(72) 117 119 Dejardin, J-L. 277—278(4—5) 281(4) 283(4 30—32) 286(4 31) 287(31) 289(4—5 46—50) 290(46—48) 291(49—50) 293(4—5 51) 295(31) 296(55) 298(55) 309(30—32) 311(30—31) 316(31) 318(55) 319(64) 321(55) 326(4) 327(32) 328(64) 331(31) 333(31) 336(30) 337(31) 339(30) 340(31) 347(70) 349—353(70) 355(70) 356(72) 360(75—76) 361(4) 367(75—76) 373(77—78) 383(82—83) 405(95) 408(95) 440—442(121) 444—446(121) 448(131) 454(32) 459(64) 473(121) 475(121) 477—481 578(60) 764 Dejardin, P.M. 296(55) 298(55) 318(55) 321(55) 347(70) 349—353(70) 355(70) 360(75—76) 367(75—76) 405(95) 408(95) 417(109) 429(109) 433—434(109) 438(109) 479—480 656(84) 706(84) 761(84) 764 Delmdahl, R.E. 72(197) 79(197 202) 122—123 Delone, N.B. 3(4) 117 Delos, J.B. 136(73) 140(73) 232 Delta function, Kramers reaction rate theory, rigid Brownian rotator escape times, bistable potential, Green function time evolution, Fokker — Planck equation with delta function 745—749 Delwiche, J. 84(221) 94(254) 123—124 Demkov — Kunike model, nonadiabatic transitions, curve crossings, time-dependent framework 131—132 Demkov — Kunike model, nonadiabatic transitions, curve crossings, time-dependent level crossings, nonadiabatic transitions 203—206 Demkov — Osherov multilevel model, nonadiabatic transitions, curve crossings, multichannel processes 152—153 Demkov — Osherov multilevel model, nonadiabatic transitions, curve crossings, time-dependent framework 131—132 Demkov — Osherov multilevel model, time-dependent level crossings, nonadiabatic transitions 203—206 Demkov, Yu.N. 131(35—37 40 42) 152(35) 201(40) 203(35—36) 204(37) 206(42) 231
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