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Chaikin P.M., Lubensky T.C. — Principles of condensed matter physics
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Íàçâàíèå: Principles of condensed matter physicsÀâòîðû: Chaikin P.M., Lubensky T.C. Àííîòàöèÿ: This book provides an overview of the physics of condensed matter systems. Assuming a familiarity with the basics of quantum mechanics and statistical mechanics, the book establishes a general framework for describing condensed phases of matter based on symmetries and conservation laws. After surveying the structure and properties of materials with different symmetries, it explores the role of spatial dimensionality and microscopic interactions in determining the nature of phase transitions. Particular attention is given to critical phenomena and renormalization group methods. The properties of liquids, liquid crystals, quasicrystals, crystalline solids, magnetically ordered systems and amorphous solids are investigated in terms of their symmetry, generalized rigidity, hydrodynamics and topological defect structure. In addition to serving as a course text, this book is an essential reference for students and researchers in physics, applied physics, chemistry, materials science and engineering, who are interested in modern condensed matter physics.
ßçûê: Ðóáðèêà: Ôèçèêà /Ôèçèêà òâ¸ðäîãî òåëà /Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö ed2k: ed2k stats Ãîä èçäàíèÿ: 1995Êîëè÷åñòâî ñòðàíèö: 699Äîáàâëåíà â êàòàëîã: 12.08.2005Îïåðàöèè: Ïîëîæèòü íà ïîëêó |
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Ïðåäìåòíûé óêàçàòåëü
Hexatic phases, liquid crystals 65—68 70 138 289 524—526 657 Hexatic-B phase 66 138 Hg, chain salts 322—324 Homogeneity 230 Homogeneous fluid 118 homogeneous functions 115—116 672 Homogeneous functions, and scaling 230—236 Homotopy 495 503—504 672 Homotopy, groups 504—505 Honeycomb lattice of walls 638 Hubbard — Stratonovich transformation 276—277 588 672 Hund’s rule 25 672 Hydrodynamics chapter 9 418—492 Hydrodynamics, and nucleation 479—491 Hydrodynamics, and spinodal decomposition 479—491 Hydrodynamics, conserved and broken-symmetry variables 417—419 Hydrodynamics, crystalline solids 459—460 Hydrodynamics, dissipationless 445—448 Hydrodynamics, equations 2 Hydrodynamics, films, fluid 494 Hydrodynamics, fluid hydrodynamics 440—454 Hydrodynamics, modes 449—452 673 Hydrodynamics, modes, of a fluid 11 Hydrodynamics, nematic liquid crystals 454—456 493 Hydrodynamics, rigid rotors on a lattice 419—434 Hydrodynamics, smectic liquid crystals 456—459 493 Hydrodynamics, spin systems 434—440 Hydrodynamics, superfluid helium 460—464 493 Hydrodynamics, superfluid helium, films 553 Hydrodynamics, variable 288 Hydrodynamics, water 418 (see also “Models stochastic”) Hydrogen bonding 3 7 hydrogen molecule 20—22 25—28 Hydrophilic and hydrophobic 68 673 Hypercubic lattice, Ising model 248—252 Hyperscaling relation 233 673 Hysteresis 171 673 Ice, edge dislocation 12—13 Icosahedral order 190 193 Icosahedral packing 7 Icosahedral symmetry 82 673 Icosahedratic 328 673 Ideal gas 112—113 Ideal polymer chain 90 673 Incoherent cross-section 404—406 Incommensurate 77—91 Incommensurate crystal lattice 77—82 322 6 Incommensurate crystal lattice, 79 Incommensurate crystal lattice, 2D solitons (Pokrovsky — Talapov) 635 (see also “Commensurate”) Incommensurate crystal lattice, Ho 89—91 Incommensurate crystal lattice, Kr on graphite 80 Incommensurate crystal lattice, Lifshitz points 184 Incommensurate crystal lattice, reciprocal lattice 82 Incommensurate crystal lattice, striped phase 618 Incommensurate crystal lattice, TGB phase 563 Incommensurate, devil’s staricases 603—606 Incommensurate, dynamic modes, phasens 615—617 Incommensurate, FK model 602—605 Incommensurate, quasicrystals 83—85 Inelastic scattering 399—408 Inertia 428 Inertial term 361 Infrared singularities 313 673 Intensive variable 111 673 Interfacial stiffness 626 674 Intermediate function 406 674 Internal energy 109 Interstitials 325 674 Inviscid flow 325 445 674 Ionic salt 18 Irreducible representation 134 674 Irrelevant field 241 253 674 Ising critical point 256 Ising Hamiltonian 139 151 Ising model 14 139—140 161 166 674 Ising model, and spinodal decomposition 481 Ising model, Bragg — Williams mean-field theory 203 Ising model, fixed point, 251 Ising model, fixed point, 268 Ising model, fixed point, 1D 245 Ising model, kinetic 466 Ising model, kink 591—592 Ising model, Landau mean-field theory 152—156 Ising model, Migdal — Kadanoff renormalization group 248—252 Ising model, nucleation 481 Ising model, one-dimensional, exact 242—245 Ising model, spin 15 177 Ising model, square lattice 250 Ising model, topologically distinct states 591—594 Ising model, walls 593 (see also “ANNNI model”) Ising symmetry 135—137 139 152 231 259 470 Isobar, isochore, isotherm 159—160 674 Isotropic fluids 15 16 38—43 307 674 Isotropic fluids, hydrodynamics of 440—453 Isotropic fractals 91—97 Isotropic phase of liquid crystals 58—61 Isotropic phase, metastability 170 Isotropic phase, nematic-to-isotropic transition 191 Isotropic solids, elasticity 319—322 Jacobian 342 Josephson scaling relation 293 437 528 674 Josephson tunneling 158 Kadanoff construction 237—242 Kinematic viscosity 449 kinetic energy 3 122 Kinetic, Ising model 466 Kinks chapter 10 Kirchhoff’s laws 381 Kosel crystal 644 654 674 Kosterlitz — Thouless (KT) transition 296 495 544—551 578 647 674 Kosterlitz — Thouless (KT) transition, and roughening 648 Kosterlitz — Thouless (KT) transition, correlation length 550 Kosterlitz — Thouless (KT) transition, integration of the KT recursion relations 573—575 Kosterlitz — Thouless (KT) transition, longitudinal and transverse response 575—577 Kosterlitz — Thouless (KT) transition, of striped phases 642 Kosterlitz — Thouless (KT) transition, spin correlation function 577—578 Kosterlitz — Thouless — Halperin — Nelson — Young (KTHNY) transition 555—561 Kramers — Kronig relation 357—358 Kramer’s equation 415 Krypton on graphite 79—80 253 558 Krypton on graphite, incommensurate phases 635 Krypton, Lennard — Jones (L-J) potential 256 KT see “Kosterlitz — Thouless transition” KTHNY melting transition 555—561 Kubo formulae 432—433 447 454 675 Lagrangian coordinates 331 446 Lagrangian elasticity 330—340 Lagrangian elasticity, FK model 607 615 Lagrangian of classical fluid 443 Lagrangian of rigid rotor 421—426 Lambda line 173—174 179 183 270 675 Lame-coefficients 320 557 675 Lamellar phase (of lyotropic liquid crystals) 71 637 640 675 Landau and Placzek 452 Landau free energy 151 193 219 Landau gauge 573 Landau mean-field theory 151—152 675 Landau theory chapter 4 Landau — Ginzberg — Wilson, field theory 465 Landau — Ginzburg free energy 571 Landau — Peierls instability 311 Landau — Placzek formula 452 675 Langevin theory 353 381—390 675 Laplace pressure 487 675 Laplace transform 356 370 430 Laplace’s equation 528 531 Laplacian Green function 531 545 Latent heat 144 170 Lattice, anisotropic 54 267 Lattice, basis 43 662 Lattice, bipartite 135—137 Lattice, body-centered cubic (BCC) 53—56 87 135 189—194 515 Lattice, cubic 52—57 Lattice, direct 43 Lattice, dual 50 580 Lattice, face-centered cubic (fcc) 9 41 53—57 190—194 515—517 671 Lattice, hexagonal 57 69 191 515—517 Lattice, reciprocal 45 46 187 Lattice, simple cubic (SC) 53 Lattice, triangular 51—53 255 520 Lattice, vector 43 Laue condition 47—48 675 Law of rectilinear diameters 166 675 LCAO 26 Legendre transform 112 653 Lennard — Jones potential 24 39 78 192 256 676 Lever rule 484 Levi — Cevita symbol 317 Lifshitz point 184—187 236 283 676 Lifshitz — Slyozov law 490 676 Light scattering, Brillouin peaks 452 Light scattering, from a nematic liquid crystal 306—308 Light scattering, Rayleigh peak 452 Light wall 602 Limit of metastability 170 171 480 Linear Combination of Atomic Orbitals (LCAO) 26 Lipids 72 Liquid crystals 58—71 Liquid crystals, discotic phases 15 68 668 Liquid crystals, display device 304 Liquid crystals, hexatic phases 65—68 70 672 Liquid crystals, isotropic, nematic and cholesteric phases 58—61 Liquid crystals, lyotropic liquid crystals and microemulsions 68—71 Liquid crystals, mesophase 15 (see also “Cholesteric nematic and Liquid structure 38—43 Liquid-gas transition 5 136 167 230 468 Local packing rules 7 Local symmetry 135 Lockin 89 601 676 Long-range order (LRO) 10 15 58 61 130 295 341 544 555 627 676 Long-range order (LRO), fluctuation destruction of 294 Long-range order (LRO), orientational order 66 86 627 631 Long-range order (LRO), orientational order, of fluid membranes 627 Long-range order (LRO), orientational order, of polymerized membranes 631 Long-range order (LRO), positional order, lack of in fluid membranes 627 (see also “Quasi-long-range order”) Long-time tail 414 676 Longitudinal strain 321 Lorentzian peak 323 327 363 367 676 Low-angle neutron scattering 94 Lower critical dimension 227 295 313 322 Lower critical field 564—566 Lyotropic liquid crystals 58 68—71 314 637 640 Macroscopic variable 1 Magnetic Bragg peaks 87 89 Magnetic bubble domain 518 Magnetic dipole interaction 87 Magnetic order 85—90 (see also “Ferri ferro and Magnetic scattering 407—408 676 magnetization 87 127 177—179 436—439 Magnon 676 (see also “Spin wave”) Maier — Saupe theory 211 mass density 115 441 Mass density wave 136 matching rule 85 Mathieu operator 567 Maxwell displacement vector 206 Mean curvature 625 676 Mean-field theory chapter 4 15 144—209 Mean-field theory, Bragg — Williams theory 144 146—151 Mean-field theory, breakdown 214—216 225—226 Mean-field theory, first-order transition 168—172 173—175 187—198 Mean-field theory, from functional integrals 223—225 Mean-field theory, Ising and n-vector models 152—159 Mean-field theory, Landau theory 145 151 156 159 Mean-field theory, liquid-gas transition 159—169 Mean-field theory, liquid-solid transition 187—198 Mean-field theory, multicritical points 172—187 Mean-field theory, nematic-to-isotropic transition 168—172 Mean-field theory, variational mean-field theory 198—204 Mean-field theory, variational mean-field theory, 202 Mean-field theory, variational mean-field theory, Debye — Huckel theory 204 Mean-field theory, variational mean-field theory, s-state Potts model 201 Mean-field transitions, examples of 157—159 216 Mean-free path 33 417 677 Memory function 412 677 Meniscus 4 159 677 Mercury chain salts 322—324 Mermin — Wagner — Berezinskii theorem 294 Mesophase 15 Metamagnet 175—179 677 Metastable state 480 677 Micelles 70 73—74 677 microcanonical ensemble 119 Microemulsions 71 75 635—640 Migdal — Kadanoff procedure 248 248—256 253 262 345 677 Mirror plane 60 677 MnO, neutron diffraction 90 MNTSF-TCNQ 76—77 Mobility 360 MODE 359 677 Mode-mode coupling 477—491 Models for phase transitions, 288 503 Models for phase transitions, Absolute solid-on-solid (ASOS) 644 Models for phase transitions, anisotropic dipolar magnet 284 Models for phase transitions, ANNNI 186 Models for phase transitions, Blume — Emery — Griffiths 179 Models for phase transitions, Chen — Lubensky 210—211 Models for phase transitions, clock 140 Models for phase transitions, dicrete Gaussian 584 645 Models for phase transitions, for bicritical and tetracitical points 181 209 Models for phase transitions, for Lifshitz points 185 283 Models for phase transitions, for liquid-solid transition 188 Models for phase transitions, for metamegnets 177 Models for phase transitions, for tricritical point 173 283 Models for phase transitions, Frenkel — Kontorowa 590 601—620 Models for phase transitions, Gaussian 261 Models for phase transitions, Heisenberg 127 Models for phase transitions, Heisenberg, anisotropic 435 Models for phase transitions, Ising 139 146 152—156 160 238 242 251 590—594 Models for phase transitions, Maier — Saupe 211 Models for phase transitions, n-vector ( 140 156—157 202 Models for phase transitions, n-vector ( 228 Models for phase transitions, n-vector ( 267 Models for phase transitions, nonlinear sigma 341—346 Models for phase transitions, Potts 140 201—202 284 579—582 593 Models for phase transitions, Potts, four state 592 Models for phase transitions, Potts, lattice gas 254 Models for phase transitions, Potts, one-state and percolation 285 Models for phase transitions, rigid rotors on a lattice 419—434 Models for phase transitions, solid-on-solid (SOS) 645 Models for phase transitions, Villain 583 645 Models for phase transitions, xy 140 289—298 495 506 526 582 544 Models for phase transitions, xy, anisotropic 347 Models for phase transitions, Yang-Lee edge 287 Models, stochastic, dissipative models, model A (Glauber) 466 483 Models, stochastic, dissipative models, model B (Cahn — Hilliard) 468 488 Models, stochastic, dissipative models, model C 469 Models, stochastic, model G (anti-ferromagnet) 477 Models, stochastic, model H (liquid-gas critical point) 476 Models, stochastic, model J (isotropic ferromagnet) 477 Models, stochastic, with Poisson brackets 475—477 Models, stochastic, with Poisson brackets, models E&F, (planar ferromagent and superfluid He) 476 Modulated phase 186 677 Molecular field 148 677 Molecular orbital approximation 25 677 Momentum density 1 441 Momentum shell renormalization group 256—275 Monge gauge 620—621 625—626 677 Multicritical point 172—175 209—210 235—236 678 Multiple scattering 33—34 678
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classical model 
(Heisenberg) 
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