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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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see “Models xy” 137 289 288 503 501 138 202 (see also “Models n-vector”) 140 235 298 343 344 682 298—306 137 289 684 183 175—182 346 79 94 96 682 263—276 286 Abelian group 505 Abrikosov vortex lattice 561 571 662 Absolute solid-on solid (ASOS) model 644 662 Acoustic phonons, harmonic lattice 367—368 (see also “Sound modes”) Adatoms 78 601 662 Adatoms, crystal and liquid phases 78 Airy stress function 535 589 Amphiphilic molecule 68 71 662 Amplitude ratios 236—237 Angstrom 17 Anharmonicities, nonlinear sigma model 341 (see also “Nonlinearities”) Anisotropic-Next-Nearest-Neighbor Ising (ANNNI) model 186—188 662 Anisotropy, anisotropic lattice 54 Anisotropy, anisotropic molecules 58 62 Anisotropy, cubic 267 Anisotropy, energy 177 Anisotropy, field 177 662 Anisotropy, quadratic 269 ANNNI see “Anisotropic-Next-Nearest-Neighbor Ising model” Antibonding orbital 22 Antiferromagnet, antiferromagnetic phase 87 176 346 Antiferromagnet, conjugate field 136 Antiferromagnet, Heisenberg model 435 Antiferromagnet, hydrodynamics 438—439 Antiferromagnet, model G 437 Antiferromagnet, order parameter (staggered magnetization) 136 177 435 Antiferromagnet, phase transitions 135 Antiferromagnet, spin waves 438 Argon 3 7—8 178 ASOS see “Absolute solid-on solid model” Atomic form factor 31 662 Bands in metals 25 Basin of attraction 245 253—254 662 Basis, crystalline solids 43 48 662 BCC see body-centered cubic lattice Bend 299 301 662 Bend, expulsion from smectic phase 312 Bernal model 40 662 Biaxial nematic 16 135—137 662 Binding energy 18 Bipartite lattice 135—137 662 Block-spin variable 238—240 662 Blume — Emergy — Griffiths model 179 Body-centered cubic (BCC) lattice 53—56 87 135 189—194 515—517 662 Body-centered cubic (BCC) lattice, defects 515—517 Bohr magneton 25 Boltzmann constant 11 216 376 Bond-angle (bond orientational) order 58 66 328—329 534 556 663 Bonding orbital 22 663 Bose particles 123 Bragg scattering 47—49 663 Bragg scattering, and Debye — Waller factor 49 322 Bragg scattering, and long-range order 61 136 Bragg scattering, and quasi-long-range order 61 313 325 Bragg scattering, cylinder, TGB phase 568 Bragg scattering, law 29—33 663 Bragg scattering, peaks 48 75—76 663 Bragg scattering, peaks, and adsorbed monolayers 325 Bragg scattering, peaks, and antiferromagnetic order 88 136 Bragg scattering, peaks, and incommensurate systems 80—81 Bragg scattering, peaks, and quasicrystals 82 Bragg scattering, peaks, satellite 31 Bragg scattering, sheets 75 Bragg scattering, spot 10 77 Bragg — Williams theory 146—151 663 Bravais lattice 43 50—55 663 Breakdown of mean-field theory 208 214—217 225 Brillouin scattering 452 458 663 Brillouin zone 46 47 100 136 256 258—259 663 Broken symmetry 2 10 14 132—134 433 663 Broken symmetry, and defects in systems with discrete symmetry 590 Broken symmetry, and elasticity 288 Broken symmetry, and Goldstone mode 432 434 Broken symmetry, and topological defects 495 Broken symmetry, broken continuous symmetry 10 12 14 137—138 Broken symmetry, broken discrete symmetry 135—137 Broken symmetry, helium 460—464 Broken symmetry, magnetic order 85—90 Broken symmetry, phase 10—15 419 Broken symmetry, variables 417—419 Broken symmetry, variables, hydrodynamic variable 427 Brownian motion 375 663 Buckling instability 315 bulk modulus 320 663 Burgers vector 663 Burgers vector, dislocation 508—509 513 534 Burgers vector, lattice 514 c-director 64 506 Cahn — Hilliard model (model B) 448 468 664 Callen — Welton theorem 387 664 canonical ensemble 119 Canted spin order 87 Cantor set 604 664 Causal 355 664 Charge-density response function 205 chemical potential 110 117 Chiral liquid crystal 561 (see also “Cholesteric liquid crystal”) Chiral molecule 60—61 664 Cholesteric (chiral) liquid crystal 58—61 87 299 561 569 665 Cholesterol nonanoate 64 CI see “Commensurate-incommensurate” Classical fluid 452—453 Classical fluid, and cross-sections 405—406 Classical fluid, and fluctuation-dissipation theorem 387 397 Classical fluid, and inelastic scattering 404—408 Classical fluid, Brownian particle 383—384 Classical fluid, density-density correlation function 354 372 374 405 Classical fluid, dynamic scaling 469 Classical fluid, rigid rotor 430 Classical fluid, self-diffusion (problem) 416 (see also “Response functions”) Classical plasma 205 Climb 521 664 Clock model 139 664 Close-packing 9 52 56—57 664 “HCP” Closure 44 Coarse graining process 217—219 239 664 Coarsening 483 490 Codimension 499 664 coexistence 117 159 161 170 178 180 664 Coherence length 231 (see also “Correlation length”) Coherent and incoherent scattering 404—405 664 Coherent cross-section 404—406 Columnar discotic phase 68 664 Columnar discotic phase, homework problem 103 Columnar discotic phase, lyotropic systems 71 Commensurate, ANNNI model 187 Commensurate, Frenkel Kontorowa model 602 604 Commensurate, lattice 78 665 Commensurate, magnetic wave vector 77—82 89 Commensurate, overlayer 254 (see also “Incommensurate”) Commensurate-incommensurate transition 77—82 89 603—607 640—643 Commensurate-incommensurate transition, and the Frenkel — Kontorowa model 601—620 Commensurate-incommensurate transition, dislocations 640—643 Commutation relation 120 218 434 461 Completeness relation 98 Compressibility 5 114 116 162 328 451 488 664 Compressibility in adsorbed overlayers 639 Compton scattering 88 665 Conjugate field 134 139 Conjugate variables 111 665 Conservation laws 2 418 Conservation laws, and hydroydnamic modes 418 Conservation laws, and model B 468 Conservation laws, and model C 469 Conservation laws, angular momentum 420 Conservation laws, density 369 418 Conservation laws, density, and diffusion 369 Conservation laws, energy 420 438 440—441 Conservation laws, mass 441 445 453 Conservation laws, momentum 441 Conservation laws, momentum, and model H 476 Conservation laws, spin and models E & F 476 Conservation laws, spin and models G & J 477 Conservative dislocation motion 520 665 Constitutive relation 418 425 665 Continuous symmetries, groups 135 137—139 157 288 495 665 Continuous symmetries, groups, hydrodynamics and broken 418 Continuous transition 13 15 665 Conventional unit cell 51 53 665 Cooperative diffusion 376—368 Core energy of a topological defect 526 665 Corrections to scaling 241 665 Correlation functions, dynamic chapter 7 353—383 Correlation functions, static 123—132 226 231 243 260 383 Correlation functions, static, and compressibility 126 Correlation functions, static, and long-range order, QLRO, and disorder 295 Correlation functions, static, and susceptibility 131 Correlation functions, static, density-density 34—36 Correlation functions, static, direct pair correlation function 126 Correlation functions, static, displacements in a smectic liquid crystal 313 Correlation functions, static, displacements in an isotropic solid 322 324 533 Correlation functions, static, mean-field order parameter 157 Correlation functions, static, nematic director 306 Correlation functions, static, pair correlation function 36 40 Correlation functions, static, pair distribution function 36 Correlation functions, static, spin-spin 130 Correlation functions, static, spin-spin, in KT transition 577 Correlation functions, static, static scaling of 252 Correlation functions, static, static structure factor 36 42 Correlation functions, static, static structure factor, of a crystal 48 Correlation functions, static, structure function 32 62 66 Correlation functions, static, structure function, 1D crystal 323 Correlation functions, static, structure function, 2D crystal 325 Correlation functions, static, structure function, Smectic-A liquid crystal 313 Correlation functions, static, transverse in systems with broken continuous symmetry 292 correlation length 154—155 213 214 228 231 244 262 341 665 Correlation length exponent 155 231 228 262 266 269 665 Coulomb attraction 18 19 Coulomb gas 546 584 588—589 Covering surface 511 665 creep 12 665 Critical density 5 159 665 Critical dimensions, dynamic 471 Critical dimensions, lower 15 227 295 313 322 Critical dimensions, upper 15 213 226 263 283 285—286 Critical endpoint 180 665 Critical exponents 230 665 Critical exponents, 231 233—234 237 Critical exponents, 153 167 174 231 237 Critical exponents, 154 174 Critical exponents, 324 341 Critical exponents, 231 232 237 268 286 Critical exponents, 296 Critical exponents, 558 Critical exponents, 313 640 Critical exponents, 325 Critical exponents, 431 Critical exponents, 153 174 227 231 237 285 Critical exponents, 273 Critical exponents, 324 340 Critical exponents, 240 Critical exponents, 155 174 231 237 240 251 262 266 269 286 284 Critical exponents, 238 Critical exponents, 240 Critical exponents, 235 270 Critical exponents, percolation from one-state Potts model 286 Critical exponents, tables of 231 237 Critical exponents, universality, and scaling, field theory 230—237 Critical exponents, Yang — Lee edge 286 Critical exponents, z (dynamic scaling) 469—471 Critical isobar 160 Critical isochore 159 162—165 Critical isotherm 160 Critical nucleus 480 Critical opalescence 4 5 165 665 Critical point 4 5 118 159 162—165 666 Critical pressure 162 Critical slowing down 4 465 666 Crossover exponent 235 269 270 Crossover functions 216 228 270—273 Crystalline solids 43—45 Crystalline solids, Bragg scattering 47—49 Crystalline solids, close packed structures 56—57 Crystalline solids, disclinations 517—518 Crystalline solids, dislocations 513—517 Crystalline solids, growth 522 Crystalline solids, hydrodynamics 459 Crystalline solids, order parameter and transition to 187—198 Crystalline solids, periodic functions 46—47 Crystalline solids, reciprocal lattice 45—46 Crystalline solids, space groups 57—58 Crystalline solids, strength 518—522 Crystalline solids, three-dimensional Bravais lattices 53—56 Crystalline solids, topological defects 506—526 Crystalline solids, two-dimensional Bravais lattices 50—53 Crystallographic point group 51 666 Cubatic 328 666 Cubic anisotropy 267 666 Cubic fixed point 268 666 Cubic lattice 52—57 Curie spin susceptibility 243 666 Curvature 623—625 666 Curvature, and elasticity of smectic liquid crystals 311 Curvature, mean 625 676 Cutoff 221 226 256 294 666 Dangerous irrelevant variables 273—275 666 de Gennes energy 566 de Gennes free energy for the smectic-A phase 566 de Gennes — Taupin length 628 630 667 Debye — Hiickel screening length 204 206 558 666 Debye — Waller factor 49 294 322 407 666 Decimation 245—248 667 Density functional theory 195—198 Density operator 34—38 Derealization energy 25 Destructive interference 29 667 Devil’s staircase 603—605 667 dielectric constant 20 206—207 546 551 Diffraction see “Bragg scattering” Diffuse rings 60 Diffuse scattering 48 60 77 667 Diffusion 369—368 383 667 Diffusion limited aggregation (DLA) 97 668 Diffusion, and Langevin theory 383—385 Diffusion, cooperative vs self 376—378 Diffusion, directed 415 668 Diffusion, director in nematic liquid crystal 456 Diffusion, external potentials and the Einstein relation 373—375 Diffusion, Fick’s law 369—370 373 671 Diffusion, Green function, and dynamic response 370—371 Diffusion, hydrodynamic mode 425 429 438 449 451 454 Diffusion, mass 454 Diffusion, model B 468 Diffusion, model C 469
Ðåêëàìà
model 
model 
model 
symmetry 
symmetry 
, crystal structure 
and incommensurate crystal 
solvent 
-expansion 
(specific heat) 
(order parameter) 
(gap exponent) 
(critical point) 
, hexatic QLRO 
(smectic liquid crystal) 
(2D crystal) 
and 
(polymerized membranes) 
(susceptibility) 
(external field scaling) 
(thermal) 
(field scaling) 
(energy density scaling) 
(crossover) 
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