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Chaikin P., Lubensky T. Ч Principles of condensed matter physics
Chaikin P., Lubensky T. Ч Principles of condensed matter physics

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Ќазвание: Principles of condensed matter physics

јвторы: Chaikin P., Lubensky T.

јннотаци€:

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.


язык: en

–убрика: ‘изика/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

»здание: 1

√од издани€: 1995

 оличество страниц: 699

ƒобавлена в каталог: 06.12.2013

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ѕредметный указатель
"Problems"      103Ч7 209Ч12 283Ч7 347Ч52 411Ч6 492Ч4 585Ч9 656Ч61
$f$-sum rule      372 670
$FeCl_{2}$, crystal structure      175Ч82
$K_{2}NiF_{4}$      346
$MnF_{2}$      183
$n$-dimensional orthogonal group $O_{n}$      228
$n$-vector elastic energy      298
$n$-vector models      140 152Ч4 228Ч30 267 298
$NaNO_{2}$ and incommensurate crystal      79
$O_{2}$ model      see models
$O_{2}$ symmetry      
137 289
$O_{3}$ model      288 503;
$O_{3}$ order parameter space      
501
$O_{3}$ symmetry      138
$O_{n}$ model      202; see models
$O_{n}$ symmetry      
140 235 298 343 344 682
$O_{n}$ symmetry, and nematic liquid crystals, elasticity      298Ч306
$U(1)$ symmetry      289; see $xy$ symmetry
$xy$-model      288 289 495 502 506 524 544Ч5 684
$xy$-model, elasticity      289Ч90
$xy$-model, longitudinal and transverse response      575Ч7
$xy$-model, shear modulus      555
$xy$-model, vortex energy      526Ч30
$xy$-model, vortex unbinding      555
$xy$-symmetry      137
$Z_{3}$ symmetry      137
$Z_{N}$ symmetry      289 684
$\epsilon$-expansion      263Ч276 286
$\theta$ solvent      94 96 682
Abelian group      505
Abrikosov vortex lattice      561 571 662
Absolute solid-on solid (ASOS) model      644 662
Acoustic phonons, harmonic lattice      367Ч8; see sound modes
Adatoms      78 601 662
Airy stress function      535 589
Amphiphilic molecule      68 71 662
Amplitude ratios      236Ч7
Angstrom      17
Anharmonicities      see nonlinearities
Anharmonicities, nonlinear $\sigma$ model      341
Anisotropic Ч Next Ч Nearest Ч Neighbor Ising (ANNNI) model      186Ч8 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 Ч Next Ч Nearest Ч Neighbor Ising model
Antibonding orbital      22
Antiferromagnet, antiferromagnetic phase      87 176 346
Antiferromagnet, conjugate field      136
Antiferromagnet, Heisenberg model      435
Antiferromagnet, hydrodynamics      438Ч9
Antiferromagnet, model G      437
Antiferromagnet, order parameter (staggered magnetization)      136 177 435
Antiferromagnet, phase transitions      135
Antiferromagnet, spin waves      438
Argon      3 7Ч8 178
ASOS      see absolute solid-on solid model
Atomic form factor      31 662
Bands in metals      25
Basin of attraction      245 253Ч4 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 135Ч7 662
Binding energy      18
Bipartite lattice      135Ч7 662
Block-spin variable      238Ч40 662
Blume Ч Emergy Ч Griffiths model      179
Body-centered cubic (BCC) lattice      53Ч6 87 135 189Ч94 515Ч17 662
Body-centered cubic (BCC) lattice, defects      515Ч17
Bohr magneton      25
Boltzmann constant      11 216 376
Bond-angle (bond orientational) order      58 66 328Ч9 534 556 663
Bonding orbital      22 663
Bose particles      123
Bragg scattering      47Ч9 663
Bragg scattering, and Debye Ч 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      29Ч33 663
Bragg scattering, peaks      48 75Ч6 663
Bragg scattering, peaks, and adsorbed monolayers      325
Bragg scattering, peaks, and antiferromagnetic order      88 136
Bragg scattering, peaks, and incommensurate systems      80Ч1
Bragg scattering, peaks, and quasicrystals      82
Bragg scattering, peaks, satellite      31
Bragg scattering, sheets      75
Bragg scattering, spot      10 77
Bragg Ч Williams theory      146Ч151 663
Bravais lattice      43 50Ч5 663
Breakdown of mean-field theory      208 214Ч17 225
Brillouin scattering      452 458 663
Brillouin zone      46 47 100 136 256 258Ч9 663
Broken symmetry      2 10 14 132Ч4 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 137Ч8
Broken symmetry, broken discrete symmetry      135Ч137
Broken symmetry, helium      460Ч4
Broken symmetry, magnetic order      85Ч90
Broken symmetry, phase      10Ч15 419
Broken symmetry, variables      417Ч419
Broken symmetry, variables, hydrodynamic variable      427
Brownian motion      375 663
Buckling instability      315
bulk modulus      320 663;
Burgers vector      663
Burgers vector, dislocation      508Ч9 513 534
Burgers vector, lattice      514
c-director      64 506
Cahn Ч Hilliard model (model B)      448 468 664
Callen Ч 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 cholesteric liquid crystal
Chiral molecule      60Ч1 664
Cholesteric (chiral) liquid crystal      58Ч61 87 299 561 569 665
Cholesterol nonanoate      64
CI      see commensurate-incommensurate
Classical fluid      452Ч53; see response functions
Classical fluid, and cross-sections      405Ч6
Classical fluid, and fluctuation-dissipation theorem      387 397
Classical fluid, and inelastic scattering      404Ч8
Classical fluid, Brownian particle      383Ч4
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
Classical plasma      205
Climb      521 664
Clock model      139 664
Close-packing      9 52 56Ч7 664; HCP and
Closure      44
Coarse graining process      217Ч19 239 664
Coarsening      483 490
Codimension      499 664
coexistence      117 159 161 170 178 180 664
Coherence length      231; see correlation length
Coherent and incoherent scattering      404Ч5 664
Coherent cross-section      404Ч6
Columnar discotic phase      68 664
Columnar discotic phase, homework problem      103
Columnar discotic phase, lyotropic systems      71
Commensurate      see incommensurate
Commensurate, ANNNI model      187
Commensurate, Frenkel Ч Kontorowa model      602 604
Commensurate, lattice      78 665
Commensurate, magnetic wave vector      77Ч82 89
Commensurate, overlayer      254
Commensurate-incommensurate transition      77Ч82 89 603Ч7 640Ч3
Commensurate-incommensurate transition, and the Frenkel Ч Kontorowa model      601Ч20
Commensurate-incommensurate transition, dislocations      640Ч3
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 440Ч41
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 137Ч9 157 288 495 665
Continuous symmetries, groups, hydrodynamics and broken      418
Continuous transition      13 15 665;
Conventional unit cell      51 53 665
Cooperative diffusion      376Ч8
Core energy of a topological defect      526 665
Corrections to scaling      241 665
Correlation functions, dynamic, chapter      7 353Ч83
Correlation functions, static      123Ч132 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      34Ч36
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      154Ч5 213 214 228 231 244 262 341 665
Correlation length exponent $\nu$      155 231 228 262 266 269 665
Coulomb attraction      18 19
Coulomb gas      546 584 588Ч9
Covering surface      511 665
creep      12 665
Critical density      5 159 665
Critical dimensions, dynamic      471
Critical dimensions, lower $d_{L}$      15 227 295 313 322
Critical dimensions, upper $d_{c}$      15 213 226 263 283 285Ч6
Critical endpoint      180 665
Critical exponents      230 665
Critical exponents, $z$ (dynamic scaling)      469Ч71
Critical exponents, $\alpha$ (specific heat)      231 233Ч4 237
Critical exponents, $\beta$ (order parameter)      153 167 174 231 237
Critical exponents, $\delta$      154 174
Critical exponents, $\Delta$ (gap exponent)      324 341
Critical exponents, $\eta$ (critical point)      231 232 237 268 286
Critical exponents, $\eta$ (order paremeter in      2
Critical exponents, $\eta_six}$, hexatic QLRO      558
Critical exponents, $\eta_{c}$ (smectic liquid crystal)      313 640
Critical exponents, $\eta_{G}$ (2D crystal)      325
Critical exponents, $\eta_{u}$ and $\eta_{h}$ (polymerized membranes)      431
Critical exponents, $\gamma$ (susceptibility)      153 174 227 231 237 285
Critical exponents, $\gamma_{eff}$      273
Critical exponents, $\lambda$ (external field scaling)      324 340
Critical exponents, $\lambda_{t} = one/v$ (thermal)      240
Critical exponents, $\nu$ (correlation length)      155 174 231 237 240 251 262 266 269 286 284
Critical exponents, $\omega$ (field scaling)      238
Critical exponents, $\omega_{\varepsilon}$ (energy density scaling)      240
Critical exponents, $\phi$ (crossover)      235 270
Critical exponents, percolation from one-state Potts model      286
Critical exponents, tables of      231 237
Critical exponents, universality, and scaling, field theory      230Ч7
Critical exponents, Yang Ч Lee edge      286
Critical isobar      160
Critical isochore      159 162Ч5
Critical isotherm      160
Critical nucleus      480
Critical opalescence      4 5 165 665
Critical point      4 5 118 159 162Ч5 666
Critical pressure      162
Critical slowing down      4 465 666
Crossover exponent      235 269 270
Crossover functions      216 228 270Ч3
Crystal and liquid phases      78
Crystalline solids      43Ч5
Crystalline solids, Bragg scattering      47Ч9
Crystalline solids, close packed structures      56Ч7
Crystalline solids, disclinations      517Ч8
Crystalline solids, dislocations      513Ч17
Crystalline solids, growth      522
Crystalline solids, hydrodynamics      459
Crystalline solids, order parameter and transition to      187Ч98
Crystalline solids, periodic functions      46Ч7
Crystalline solids, reciprocal lattice      45Ч6
Crystalline solids, space groups      57Ч8
Crystalline solids, strength      518Ч22
Crystalline solids, three-dimensional Bravais lattices      53Ч6
Crystalline solids, topological defects      506Ч26
Crystalline solids, two-dimensional Bravais lattices      50Ч3
Crystallographic point group      51 666
Cubatic      328 666
Cubic anisotropy      267 666
Cubic fixed point      268 666
Cubic lattice      52Ч7
Curie spin susceptibility      243 666
Curvature      623Ч5 666
Curvature, and elasticity of smectic liquid crystals      311
Curvature, mean      625 676
Cutoff      221 226 256 294 666
D xy-model)      296
Dangerous irrelevant variables      273Ч5 666
de Gennes energy      566
De Gennes free energy for the smectic-$A$ phase      566
de Gennes Ч Taupin length      628 630 667
Debye Ч H$\ddot{u}$ckel screening length      204 206 558 666
Debye Ч Waller factor      49 294 322 407 666
Decimation      245Ч8 667
Delocalization energy      25
Density functional theory      195Ч8
Density operator      34Ч8
Destructive interference      29 667
DevilТs staircase      603Ч5 667
dielectric constant      20 206Ч7 546 551
1 2 3 4 5
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