Introduction to Statistical PhysicsIntended for beginning graduate students or advanced undergraduates, this text covers the statistical basis of thermodynamics, including examples from solid-state physics. It also treats some topics of more recent interest such as phase transitions and non-equilibrium phenomena. The presentation introducesmodern concepts, such as the thermodynamic limit and equivalence of Gibbs ensembles, and uses simple models (ideal gas, Einstein solid, simple paramagnet) and many examples to make the mathematical ideas clear. Frequently used mathematical methods are discussed in detail and reviews in an appendix. The book begins with a review of statistical methods and classical thermodynamics, making it suitable for students from a variety of backgrounds. Statistical mechanics is formulated in the microcanonical ensemble; some simple arguments and many examples are used to construct th canonical and grand-canonical ensembles. The discussion of quantum statistical mechanics includes Bose and Fermi ideal gases, the Bose-Einstein condensation, blackbody radiation, phonons and magnons. The van der Waals and Curoe-Weiss phenomenological models are used to illustrate the classical theories of phase transitions and critical phenomena; modern developments are intorducted with discussions of the Ising model, scaling theory, and renormalization-group ideas. The book concludes withy two chapters on nonequilibrium phenomena: one using Boltzmann's kinetic approach, and the other based on stochastic methods. Exercises at the end of each chapter are an integral part of the course, clarifying and extending topics discussed in the text. Hints and solutions can be found on the author's web site. |
Contents
II | 1 |
III | 2 |
IV | 4 |
V | 6 |
VI | 9 |
VII | 12 |
VIII | 15 |
IX | 19 |
LVII | 171 |
LVIII | 176 |
LIX | 182 |
LX | 187 |
LXI | 188 |
LXII | 199 |
LXIII | 208 |
LXIV | 211 |
X | 20 |
XI | 25 |
XII | 29 |
XIII | 33 |
XIV | 35 |
XV | 39 |
XVII | 41 |
XVIII | 44 |
XIX | 47 |
XXI | 48 |
XXII | 52 |
XXIII | 56 |
XXIV | 59 |
XXV | 61 |
XXVI | 62 |
XXVII | 65 |
XXVIII | 67 |
XXIX | 79 |
XXX | 82 |
XXXI | 85 |
XXXII | 91 |
XXXIII | 93 |
XXXIV | 95 |
XXXV | 97 |
XXXVI | 98 |
XXXVII | 103 |
XXXVIII | 105 |
XXXIX | 107 |
XL | 108 |
XLI | 109 |
XLII | 113 |
XLIII | 117 |
XLIV | 121 |
XLV | 122 |
XLVI | 127 |
XLVII | 137 |
XLVIII | 141 |
XLIX | 143 |
L | 146 |
LI | 149 |
LII | 154 |
LIII | 157 |
LIV | 161 |
LV | 164 |
LVI | 166 |
LXV | 220 |
LXVI | 229 |
LXVII | 232 |
LXVIII | 235 |
LXIX | 236 |
LXX | 244 |
LXXI | 251 |
LXXII | 254 |
LXXIII | 257 |
LXXIV | 260 |
LXXV | 263 |
LXXVI | 266 |
LXXVII | 268 |
LXXVIII | 271 |
LXXIX | 273 |
LXXX | 277 |
LXXXI | 281 |
LXXXII | 283 |
LXXXIII | 285 |
LXXXIV | 288 |
LXXXVII | 291 |
LXXXVIII | 295 |
LXXXIX | 301 |
XC | 305 |
XCI | 306 |
XCII | 318 |
XCIII | 326 |
XCIV | 331 |
XCV | 332 |
XCVI | 337 |
XCVII | 340 |
XCVIII | 344 |
XCIX | 352 |
C | 354 |
CI | 357 |
CII | 359 |
CIII | 360 |
CIV | 362 |
CV | 363 |
CVI | 365 |
CVII | 368 |
CVIII | 371 |
375 | |
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Common terms and phrases
associated Boltzmann Bose-Einstein bosons calculate canonical ensemble canonical partition function Chapter chemical potential classical limit Consider constant volume cosh critical exponents critical point critical temperature density dimension distribution electrons energy per particle entropy equilibrium example exp ẞ expansion expected value Fermi fermions ferromagnet figure fixed point function of temperature gas of particles Gaussian given by equation H-theorem Hamiltonian heat at constant Helmholtz free energy ideal gas integral interactions internal energy Ising model Landau Legendre transformation magnetic field master equation microcanonical ensemble microscopic molecules monatomic N₁ N₂ number of particles Obtain an expression occupation numbers one-dimensional oscillator P₁ phase space phase transitions phonons pressure probability problem pure fluid quantum specific heat spin variables statistical mechanics statistical physics tanh theory thermal thermodynamic limit thermodynamic potential tion velocity versus Waals wave function write written zero field ән др
References to this book
Jamming, Yielding, and Irreversible Deformation in Condensed Matter Carmen Miguel,Miguel Rubi No preview available - 2006 |