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Goldenfeld N. — Lectures on Phase Transitions and the Renormalization Group
Goldenfeld N. — Lectures on Phase Transitions and the Renormalization Group



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Название: Lectures on Phase Transitions and the Renormalization Group

Автор: Goldenfeld N.

Аннотация:

Covering the elementary aspects of the physics of phases transitions and the renormalization group, this popular book is widely used both for core graduate statistical mechanics courses as well as for more specialized courses. Emphasizing understanding and clarity rather than technical manipulation, these lectures de-mystify the subject and show precisely "how things work." Goldenfeld keeps in mind a reader who wants to understand why things are done, what the results are, and what in principle can go wrong. The book reaches both experimentalists and theorists, students and even active researchers, and assumes only a prior knowledge of statistical mechanics at the introductory graduate level. Advanced, never-before-printed topics on the applications of renormalization group far from equilibrium and to partial differential equations add to the uniqueness of this book.


Язык: en

Рубрика: Физика/Термодинамика, статистическая физика/Квантовые методы/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1992

Количество страниц: 394

Добавлена в каталог: 06.09.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Order parameter, spatial variations of      147
Overlap      65
Paraconductivity      173
Paramagnet      9
Paramagnetic fixed point      266
Partial differential equation      19
Partition function      15
Pauli matrices      99
Permeability      294
Perron’s theorem      91
Perturbation theory      153 192 302
Perturbation theory, matching from critical region      257
Phase boundary      29
phase diagram      7 29 241 246
Phase fluctuations      346
Phase separation      19
Phase space      56
Phase transition      7
Phase transition, continuous      9 14 30
Phase transition, continuous (sufficient condition)      146
Phase transition, first order      14 30 44 119 145 247 267 268
Phase transition, second order      14
Phase transition, zero temperature      44
Phases      29
Phenomenology      314
Phonons      342
Planck      18
Planck’s constant      72 319
Polymer      12 62 81
Porous medium      293
Porous medium equation      295
Porous medium, elasto-plastic      296
Potts model      32
Primitive diagrams      372
Projection operator      238
Propagator      367
Pythagoras’ theorem      20
Quantum chromodynamics      313 316
Quantum Critical Phenomena      81
Quantum electrodynamics      198 313 325
Quantum field theory      197
quantum mechanics      27 81
Quantum theory      17
Random phase approximation      174
Range of interaction      162 167
Real space renormalisation group      153 378
Recursion relation      237 250 256 262
Reduced temperature      31
Regularisation      153 198 310 313 314
Relaxation time      134 212
Relevant eigenvalue      246
Renormalisability      308 311 323
Renormalisability, statement of      311
Renormalisation      19 153 154 197 288 302 306 311
Renormalisation constant      307
Renormalisation group      18 153 230
Renormalisation group equation      311
Renormalisation group equation, bare      307
Renormalisation group flow      241
Renormalisation group transformation      236 325
Renormalisation, basic idea      310
Renormalised perturbation expansion      313 323
Replica symmetry breaking      61 65 105
Response function      126 212 337
Response function, non-linear      214
Resummation      193
Right eigenvectors      244 255 382
Rigidity      343
Rigidity, universal jump      350
Rotation matrix      137
Roughening transition      350
Rubber      61 62 119 146 336
Rushbrooke seeding law      201 206 359
Scaling      5
Scaling functions      203
Scaling lawa      5 17 111 201
Scattering intensity      19
Schottky anomaly      93
screening      27
Self-averaging      69
Self-avoiding walk      12 81 112
Self-consistent field      106
Shear viscosity      13
Sherrington — Kirkpatrick model      68
Shooting method      299
Similarity solution      19 288
Single ion anisotropy      274
Singular perturbation      319
Sink      246 383
Soft spins      346
Solid      62 64 343
Solid solution      216
Solid state physics      174
Solidification      58
Solvability condition      299
spaghetti      13
Specific heat      18
Spin glass      61 65 66 146 336
Spin waves      342
Spin-orbit coupling      9 54 274
Spin-wave stiffness      343
Spin-waves      346
Spinodal decomposition      216 220 221
Spontaneous magnetisation      48 106
Spontaneous symmetry breaking      25 51 58
Stability      126
Static scaling      202
Static scaling hypothesis      202 233 253 283 290 301 327
Static shear modulus      343
Static susceptibility sum rule      109 128 158 160 170 181 208 214 337
Stiffness      343
Stiffness, universal jump      350
Stochastic differential equation      210 288
Structure factor      130
Sub-lattice symmetry      41
Superconductivity      153 342
Superconductivity, high temperature      173
Superconductivity, weak-coupling      172
Superconductor      336
Superconductor-normal metal transition      147
Superfluid      11 336
Superfluid transition      137 172 350
Surface free energy per unit area      25
susceptibility      18 212
Susceptibility tensor      338
Symmetry      119
Symmetry, continuous      54 335
Symmetry, discrete      54
Symmetry, disrete      49
Thermodynamic limit      17 26
Thermodynamic limit, failure of      28
Thermodynamics      25
Time being      252
Time-dependent Ginzburg-Landau equation      210 219
Time-reversal symmetry      40 66 204
Trace      25 89
Transfer matrix      85 88
Transfer matrix more than one dimension      91
Transition temperature      7 107 163
Transition temperature for vortex unbinding      349
Transition temperature, shift due to fluctuations      171 186 346
Translational invariance      57 181 342
Translational invariance, breaking of      58 64
Transport coefficients      13
Transverse correlation function      337
Triangular lattice      257
Trick      26 34 82 128 160 205
Trick, scaling      27 182
Tricritical point      164
Triple point      247
Uniaxial anisotropy      274
Universal phase of the response function      214
Universality      16 63 80 112 125 138 217 230 235 246
Universality class      16 79 111 154 254 268 275
Universality, origin of      248
Upper critical dimension      171 173 192 313
Van der Waals equation      14 121 123
Vortices      348
Vulcanisation      62
Water waves      5
Wave function renormalisation      357 364
Weiss theory of ferromagnetism      14
Wick’s theorem      187 367 375 386
Widom      17 202 230
Wilson      18
Wilson — Fisher fixed point      353 381
XY model      137 275 335 350
Zeeman effect      24
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