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Cowan B. — Topics In Statistical Mechanics
Cowan B. — Topics In Statistical Mechanics

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Название: Topics In Statistical Mechanics

Автор: Cowan B.

Аннотация:

Building on the material learned by students in their first few years of study, this book presents an advanced level course on statistical and thermal physics. It begins with a review of the formal structure of statistical mechanics and thermodynamics considered from a unified viewpoint. After a brief revision of non-interacting systems, emphasis is laid on interacting systems. First, weakly interacting systems are considered, where the interest is in seeing how such interactions cause small deviations from the non-interacting case. Second, systems are examined where interactions lead to drastic changes, namely phase transitions. A number of specific examples are given, and these are unified within the Landau theory of phase transitions. The final chapter of the book looks at non-equilibrium systems and the way these evolve towards equilibrium. Here, fluctuations play a vital role, as is formalized in the Fluctuation-Dissipation theorem.


Язык: en

Рубрика: Механика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2005

Количество страниц: 336

Добавлена в каталог: 20.03.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\Gamma$-space      34
$\varphi$-space      34
$\varphi^{4}$ model      198
Absolute zero      5
Adkins, C. J.      5 244
Aeppli, G.      227
Als-Nielsen, J.      238
Analytic      196
Anderson, M. H.      93
Andronikashvili      95
Antiferromagnet      171
Autocorrelation function      250 256 265 282 285-287
Bergersen, B.      185
Berlin, T.      191
Bernoulli number      77
Bethe — Peirls approximation      187
Bifurcation      198
Billiard balls      124
Binary mixtures      210
Binodal      215 217
Birgenau, R. J.      238
Bitko, D.      227
Black body radiation      98 99
Blaylock, G.      130
Bleaney, B. I.      61
Bogoliubov, N.      97
Boltzmann equation      287
Boltzmann factor      13 285
Boltzmann phase space      33
Boltzmann’s constant      7 10
Boltzmann’s h      40
Bombardments      261
Bose distribution      30
Bose gas      87 303
Bose — Einstein condensation      87 93 95 144
Boson      25 28 98
Bowley, R.      1
Boyle temperature      127
Bradley, C. C.      93
Bridge equations      2
Brown, R.      254
Brownian motion      254 260
Brush, S. G.      181
Burns, G.      210
Callen, H. B.      5 293
Carath$\acute{e}$odory, C.      5
Causality      269 275 287
Caveat      207
Centre of mass frame      261
Characteristic resistance      104
chemical potential      12 69 292 299 302
Chemical potential of ideal gas      65
Clamped free energy      192
Classical approximation      62
Classical gas      62
Classical limit      30
Classical partition function      35
Classical states      31
Clausius, R.      94
Cluster expansion      121
Coarse graining      42
Coarse-grained entropy      42
coexistence      145 159
Complementary function      263
Complex representation      270
Composite particles      28
Configuration integral      121
Conjugate variable      244
Consequence of causality      275
Conserved order parameter      151 182 210 239
Constrained free energy      193
Continuous symmetry      180 190
Convolution theorem      275
Cornell, E.      93
Correlation function      153 266
Correlation function integral      310
correlation length      153 154
Correlation time      253
Corresponding states      166 169
Counting states      56
Cowan, B.      261 287
Critical amplitude      152 176 230
Critical behaviour      230
critical exponent      152 230 234
Critical opalescence      154
Critical point      146 149 151 154 165 224 239 246
Critical temperature      173
Crystal      148
Curie constant      107
Curie —Weiss law      178
Curie’s law      107 177 279
De Boer, J.      170
DeBroglie relation      56
Debye model      2
Debye, B.      280
Delta function      273
Delta function excitation      273
Density of states      54 57
Diathermal      8
Dielectrics      280
Dieterici’s equation      139 168
Diffusion      258
Diffusion coefficient      258 266
Diffusive regime      258
Dimensional analysis      154
Dimensionality      153 158 234
Dirac, P. A. M.      273
Discrete symmetry      180
Distinguishable particles      61
Dittman, r. H.      1
domains      200
Doob, J. L.      266
Doob’s theorem      266
Double tangent      161
Dugdale, J. S.      42
Dynamical response      282
Dynamical susceptibility      269 280
Dynamics      243
Ebner, C.      87
Effective Fermi energy      85
Ehrenfest, P.      148 239
Einstein relation      266
Einstein, A.      1 2 14 87 105 244 254 283
Electric susceptibility      280
Electrical analogue      267
Electrical noise      103
Electromagnetic waves      98
Electrons      28 81
Elementary excitations      96 97
Elementary particles      28
Energy      4 293
Energy dissipation      281
Energy hypersurface      34
energy levels      56
Energy minimum      294
Ensemble      34
Ensher, J. R.      93
Enthalpy      131 296
entropy      5 7 43 220 293
Entropy maximum      294
Entropy of ideal gas      65
Entropy of mixing      67 69
Environment      13
Equation of continuity      39
Equation of state      106 107 123
Equilibrium      4 8 243 281
Equilibrium ensemble      286
Equilibrium states      4 5 293
Equipartition      65 259 264 282
Equipartition theorem      35
Euler gamma function      91
Euler relation      291
Euler, L.      292
Excitation      277
Exponential      280
Extensive      3
Fardis, M.      287
Fermi distribution      29 84
Fermi energy      71 72 300
Fermi gas      69 299 301 303
Fermi temperature      71
Fermion      25 26 28
Ferroelectric      148 150 201 239
Ferroelectricity      201
Ferromagnet      105 147 148 150 170 199
ferromagnetism      170
Feynman, R. P.      15 27
First law      4 56 292
First-order transition      148 159 239 246
Fisher law      158
Fisher, M. E.      158
Fluctuation      281
Fluctuation dissipation theorem      110 261 265 266
Fluctuations      3 14 21 109 110 154 187 196 226 235 243 244 246 281 283
Fluid      150
Fourier representation      271
Fourier transform      271
Free energy      20 21 185
Friction force      260
Fu, H.-H.      87
Fugacity      85 144 303 306
Function of state      292
Fundamental postulate      7
Fundamental relation      291
Gamma function      91 103 129
Gas      145
Gas-liquid transition      162
Gauge symmetry      146 148
Gaussian      245
Generalised coordinates      32
Generalised displacement      277
Generalised force      277
Generalised susceptibility      279
Gibbs distribution      17
Gibbs ensemble      18
Gibbs entropy      20
Gibbs factor      15 17
Gibbs free energy      148 296
Gibbs phase space      33
Gibbs — Duhem relation      291 292
Gibbs, J. W.      152 292
Ginzburg criterion      238
Ginzburg, V. L.      238
Glassy systems      299
Goldstone bosons      180 209
Goldstone modes      178 180
Goldstone’s theorem      179
Grand partition function      23 24
Grand potential      24 25 28
Gravitation      4
Guggenheim, E. A.      166 169
gyromagnetic ratio      106
H theorem      40
Hamiltonian mechanics      39
Hamilton’s equations      40
Hard core potential      124
harmonic oscillator      37 51 52 98
Heat      4
Heat bath      18
heat capacity      153 198 222
Heisenberg equation of motion      228
Heisenberg Hamiltonian      171
Heisenberg model      195
Heisenberg, W.      180
Helium isotopes      28
Helmholtz free energy      21 160 191 211 214 295
High temperature behaviour      84
Hill, T. L.      2
Homogeneity      291
Homogeneous phase      215
Huang, K.      144 154 179 190
Hulet, R. G.      93
Hydrodynamic      267
Hysteresis      199 203
Ideal gas      10 303 307
Ideal gas temperature      65
Ideal solution      213
Identical particles      61
Indistinguishability      61
Infinite temperature      111
Intensive      3
interactions      8
Internal energy      4 80 301 307
Inversion symmetry      148
Inversion temperature      138
Ising Hamiltonian      229
Ising model      150 180
Ising, E.      180
Isolated system      244
Jacobian      311
Johnson noise      105 284
Johnson, J. B.      283
Josephson law      158 234
Joule — Kelvin      130
Joule — Thompson      130
Joule — Thomson coefficient      132
Joule’s law      65
k-space      58
Kac, M.      191
Kadanoff, L. P.      287
Kamerlingh Onnes, H.      94
Keesom, W.      94
Kelly, J.      87
Kelvin scale      10
Khalatnikov, I. M.      97
Kinematics      255 256
kinetic energy      5
Kirchhoff, G.      99
Kittel, C.      201 210
Kondepundi, D.      244
Kosterlitz, J. M.      237
Kramers — Kronig relation      276 279
Kramers, H. A.      144
Kubo, R.      281
Landau free energy      191
Landau theory      196
Landau, L. D.      2 77 95 97 137 145 149 150 184 186 187 195 202 238
Langevin equation      260 263
Langevin, P.      260
Latent heat      149 159 209
Laws of thermodynamics      4
Lee, T. D.      144
Leggett, A. J.      45
Lennard — Jones potential      127
Lenz, W.      180
Lever rule      215
Lifshitz, E. M.      2 77 137 186
Linear response      268 281 286
Linearity      268
Liouville’s theorem      38 39
Liquid      145
Liquid $^{3}he$      81
Liquid $^{4}he$      190
Liquid-gas transition      159
Lithium vapour      93
London, F.      87 95
Long time limit      258
Low density approximation      122
Low temperature expansion      76
MacDonald, D. K. C.      244
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