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Chaikin P., Lubensky T. — Principles of condensed matter physics
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Íàçâàíèå: Principles of condensed matter physicsÀâòîðû: Chaikin P., Lubensky T. Àííîòàöèÿ: Now in paperback, 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 /Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö ed2k: ed2k stats Èçäàíèå: 1Ãîä èçäàíèÿ: 1995Êîëè÷åñòâî ñòðàíèö: 699Äîáàâëåíà â êàòàëîã: 06.12.2013Îïåðàöèè: Ïîëîæèòü íà ïîëêó |
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Ïðåäìåòíûé óêàçàòåëü
Diffraction see Bragg scattering Diffuse rings 60 Diffuse scattering 48 60 77 667 Diffusion 369—8 383 667 Diffusion limited aggregation (DLA) 97 668 Diffusion, and Langevin theory 383—85 Diffusion, cooperative vs self 376—8 Diffusion, directed 415 668 Diffusion, director in nematic liquid crystal 456 Diffusion, external potentials and the Einstein relation 373—5 Diffusion, Fick’s law 369—70 373 671 Diffusion, Green function, and dynamic response 370—1 Diffusion, hydrodynamic mode 425 429 438 449 451 454 Diffusion, mass 454 Diffusion, model B 468 Diffusion, model C 469 Diffusion, on a lattice, master equation 378—81 Diffusion, particle 353 Diffusion, permeation 617 Diffusion, phason 617 Diffusion, response function 371—3 Diffusion, spin 438 Diffusion, thermal 425 429 438 451 454 Diffusion, vacancy 459 Dilation 317 Dilation symmetry 90 668 Dirac delta function 204 Direct lattice 43—5 668 Direct pair correlation function 195 Directed diffusion 415 668 Director 59 168 420 506 668 Disclinations 495 668 Disclinations, and the KT transition 558 Disclinations, density 534 Disclinations, in crystal 517 519 534 Disclinations, in hexatic liquid crystals 526 Disclinations, in nematic liquid crystals 524—6 Disclinations, in smectic- 506 509 Disclinations, loops 527 Disclinations, twist 519 Disclinations, Volterra construction 517 519 Disclinations, wedge 519 Discommensurations 590 602—3 613 668 Disconnected diagram 279 Discontinuous transition 13; see first-order phase transition Discotic liquid crystals 15 68 668 Discrete Gaussian Model 578 584 645 668 Discrete symmetry, group 13 135—7 590 668 Dislocations, and CI transition 640—3 Dislocations, and grain boundaries 522—4 Dislocations, Burgers vector 508—9 513 534 Dislocations, chapter 9 12 13 49 495 510 520 531 640—3 668 Dislocations, density 521 Dislocations, in crystals 531 Dislocations, in crystals, edge 514—5 Dislocations, in crystals, energies 531—6 Dislocations, in crystals, screw 514—5 Dislocations, in hexagonal and close-packed lattices 515 Dislocations, in periodic solids 512—17 Dislocations, in smectic liquid crystals 507 308 507—12 561—73 Dislocations, mediated melting 555 555—9 Dislocations, Volterra construction 515 683 Dissipation 361 365—6 394—5 419 446—8 668 Dissipationless flow 445—8 668 Dissipative dynamics 466—9 Domain walls, chapter 10 15 590 668 Domain walls, fluctuating 635 Domain walls, in mean-field theory 595—601 Dual lattice 50 580 668 Duality, 582—4 Duality, lattice Coulomb-gas model 582—4 Duality, Potts models 579—82 Duality, Villain model 578—9 582—4 Dynamic models see models stochastic Dynamic modes 2 359 362—68; diffusion sound Dynamic scaling 469—72 Dynamic upper critical dimension 471 Easy-plane ferromagnet 138 Edge dislocations 13 510 520 640—3 Edge dislocations, loops 512 Effective critical exponent 273 Einstein relation 373—5 385 668 Elastic constants, tables of 319 320 Elastic continuum 366 Elastic variable 288 Elasticity of sterically stablized phases 638—40 Elasticity, 298—306 Elasticity, 289—97 Elasticity, chapter 6 Elasticity, Eulerian stress tensor 338—41 Elasticity, fluctuations 293—5 Elasticity, fluctuations, and light scattering 306—8 Elasticity, frank free energy, of nematic liquid crystals 298—300 Elasticity, free energy, 289—90 Elasticity, Josephson scaling relation 292—3 Elasticity, Lagrangian elasticity 330—4 Elasticity, Lagrangian stress tensor 334—7 Elasticity, nonlinear sigma model 341—7 Elasticity, of classical harmonic lattices 332 Elasticity, of solids 316 Elasticity, of solids, bond-angle and translational order 328 Elasticity, of solids, density functional theory 329 Elasticity, of solids, elastic free energy 318—19 Elasticity, of solids, fluctuations 321—2 Elasticity, of solids, isotropy, and cubic solids 319—21 Elasticity, of solids, one-dimensional crystals 322—4 Elasticity, of solids, two-dimensional crystals 324—6 Elasticity, of solids, vacancies and interstitials 325—8 Elasticity, polymerized membranes 632 Elasticity, smectic liquid crystals 308—16 Elasticity, stress-strain relations 337—8 Electron scattering 409 Energy density 240 Energy of a surface 625—6 Enthalpy 113 entropy 3 111 119 146 424—5 Entropy production equation 444—5 Entropy, density 424 427 Entropy, of mixing 146 Entropy, steric 635 Equations of state 116—17 Equations of state, mean-field 153 Equations of state, scaled 234—5 Equations of state, Van der Waals 683 Equipartition theorem 10 123 223 Escape, to third dimension 501 Euclidean group 39 668 Euler characteristic 626 669 Euler — Lagrange equation 301—2 485 538 597 671 Eulerian coordinates 331 446 Eulerian elasticity 338—41 Euler’s equation 448 669 exchange interaction 21—5 Excluded volume 46 94 Exclusion principle 7 23 Extensive Variable 111 External Hamiltonian 134 Face-centered cubic structure 9 41 53—7 190—4 669 Face-centered cubic structure, defects 515—17 Facets and faceting 8 648—55 Fan spin order 87 FCC see face-centered cubic structure Fermi gas 122 Fermi pseudopotential 402—4 Fermi’s Golden Rule 30 400—2 669 Ferrimagnet 87 130 Ferroelectric phase 81 138 Ferromagnet, conjugate field 128 Ferromagnet, ferromagnetic phase 87 128 Ferromagnet, hedgehog defect for O 3 500 Ferromagnet, Heisenberg model 127 435 Ferromagnet, hydrodynamics, isotropic 439—440 Ferromagnet, model J 477 Ferromagnet, order parameter 128 Ferromagnet, spin waves 440 Ferromagnetic exchange 25 Fick’s law 369—70 373 669 Field theory 213—83 Field theory, 228—30 Field theory, construction 217—26 Field theory, gaussian integrals 221—3 Field theory, Ising model, hypercubic lattice 248—52 Field theory, Ising model, one-dimensional Ising model 242—5 Field theory, Landau — Ginzberg — Wilson 465 Field theory, lattice field theories, continuum limit 219—21 Field theory, mean-field theory, from functional integrals 223—5 Field theory, self-consistent field approximation 226—30 First homotopy group 504 First law of thermodynamics 109—11 First-order phase transition 144 First-order phase transition, and harmless staircase 605 First-order phase transition, and nucleation 480—82 First-order phase transition, bicritical point 183 First-order phase transition, liquid-to-solid 187—198 First-order phase transition, nematic-isotropic transition 168—172 First-order phase transition, Potts model 202 First-order phase transition, tricritical point 174 Five-fold symmetry 50 82—5 Fixed point 245 251 262 267—9 671 548 573 634 669 Fixed point, cubic 268 Fixed point, Gaussian 262 268 Fixed point, Heisenberg 266 268 Fixed point, high 245 262 Fixed point, Ising, 251 Fixed point, Ising, 268 Fixed point, Ising, 1D 245 Fixed point, Kosterlitz — Thouless 548 573 Fixed point, polymerized membrane 634 Fixed point, Potts lattice gas 256—7 FK see Frenkel — Kontorowa Floating phase 601 Flory parameter 671 Flory theory, radius of gyration of a polymer 94 669 Fluctuating walls 635—40 Fluctuation-dissipation theorem 353 374 387 397—9 664; Fluctuations 15 Fluctuations, and break-down of mean field theory (Ginzburg) 214—17 225—6 Fluctuations, and corrections to mean-field theory 294 Fluctuations, and correlation functions 35 125 131 Fluctuations, and Debye — Waller factor 294 322 407 666 Fluctuations, and destruction of long-range order 294 Fluctuations, and scattering 405—8 Fluctuations, and susceptibilities 120 132 Fluctuations, dynamic 355 387 397 Fluctuations, in harmonic approcimation 626—9 Fluctuations, in mean-field theory 154 157 Fluctuations, of elastic variables 293 306 312 321 Fluctuations, of fluid membranes 626 Fluid hydrodynamics 441—53 Fluids 38—43 (see also superfluids; water) Fluids, internal energy 109 Fluids, thermodynamics 108—17 Fluids, two-component 453 Fokker — Planck equation 388—9 473 Four-state Potts model 256 Fourier transforms 10 97—100 Fourier transforms, transforms on a lattice 100 Fractals 91—7 Frank director 168 302 311 328 Frank free energy 298—300 311 316 455 567 669 Free standing smectic- 506 Freedericksz transition 302—4 670 Freezing 8—15 Freezing, Hansen — Verlet criterion 192 671 Frenkel — Kontorowa model 601—20 Frustration 7 112 670 Functional derivatives 140—1 672 Functional integral 218 Fundamental group 504 670 Galilean transformation 441—2 Gap exponent 234 Gas partition function, Coulomb 588—9 Gaseous state 3—5 38—43 Gauge symmetry 135 670 Gauss — Bonnet theorem 626 670 Gaussian critical point 262 670 Gaussian curvature 624 625 670 Gaussian fluctuations 224 670 Gaussian Integrals 221—3 Gaussian model, momentum shell, renormalization group 261—3 Generalized force 110 Generalized Heisenberg models 435—6 Genus 626—7 Gibbs free energy 112 114 Gibbs’ paradox 119 670 Ginzburg criterion 214—7 225 670 Ginzburg length 215 228 Ginzburg parameter 572 Ginzburg temperature 215 225—6 228 272 Ginzburg — Landau model, time-dependent 466 682 Glaciers 12 Glass 112 671 Glauber model 466 671 Glide 12 520 Glide plane, lattice 57 Global packing constraints 7 Global symmetry 135 671 Glossary 662—84 Gold, fractal aggregate 95 Golden mean 51 83 671 Goldstone mode 432 471 Goldstone theorem 432 434 Good solvent 93 673 Grain boundaries 522—3 589 671 grand canonical ensemble 120 125 Grand potential 113 Graphite, lattice 78—9 Gravity 335 Green function 477—8 Green function, diffusion 370—1 376 531 Green function, diffusion, and dynamic response 370—1 Green function, diffusion, and mode-mode coupling 477—8 Ground state manifold 502 Groups, first fundamental group 504 672 Groups, homotopy 504—5 524 Gyration, radius of 91 680 Hameker constant 553 Hansen — Verlet criterion 192 671 Hard cutoff 219 671 Hard-sphere, close-packing 671 Hard-sphere, fluid 38 Hard-sphere, interaction 40 Hard-sphere, model 7 Hard-sphere, solid-liquid phase transition 43 Harmless devil’s staircase 605 Harmonic lattice, acoustic phonons 367—8 harmonic oscillator 359—66 Harmonic oscillator, fluctuation-dissipation 387 Hartree approximation 226 672 Hausdorff dimension 97 672 Heat 109 heat capacity 114 Heat current 424 427 445 Heaviside unit step function 355 Heavy wall 602 672 Hedgehog 500—3 527 585 674 Heisenberg fixed point 266 269 Heisenberg model 14 127—9 140 202 435 672 Heisenberg operator 392 Heitler — London theory 20 25 672
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