| Description |
xii, 565 pages : illustrations ; 27 cm |
| Note |
Includes index. |
| Form |
Also available as an electronic book via the World Wide Web to institutions affiliated with netLibrary, Inc. |
| Contents |
Part I Kinetic Theory of Gases 1 -- Chapter 1 Velocity and Position Distributions of Molecules in a Gas 6 -- 1.1 Avogadro's law, or the equation of state of an ideal gas -- 1.2 Temperature and thermal equilibrium 9 -- 1.3 Equipartition of energy per molecule and its constituent parts--a fundamental problem 13 -- 1.4 Density in an isothermal atmosphere--the Boltzmann factor in the potential energy 20 -- 1.5 Maxwell-Boltzmann distribution 24 -- 1.6 Averages and distributions 28 -- Chapter 2 Brownian Motion 32 -- 2.1 Historical background 32 -- 2.2 Characteristic scales of Brownian motion 33 -- 2.3 Random walk 35 -- 2.4 Brownian motion, random force and friction: the Langevin equation 37 -- 2.5 Solving the Langevin equation: approximations and orders of magnitude 41 -- 2.6 Applications and implications 44 -- Chapter 3 Transport Coefficients 49 -- 3.2 Mean free path and mean free time 50 -- 3.3 Self-diffusion 56 -- 3.4 Mobility coefficient 61 -- 3.5 Connection between the diffusion coefficient and the mobility 63 -- 3.6 Viscosity and thermal conductivity 64 -- 3.7 Appendix: a more detailed calculation of the diffusion coefficient 68 -- Part II Statistical Physics with Paramagnets 119 -- Chapter 0 Essential Background in Thermodynamics 124 -- 0.1 First law 124 -- 0.2 Second law and the entropy 128 -- 0.3 Thermodynamic potentials 129 -- 0.4 Third law 133 -- Chapter 1 Thermodynamics with Magnetic Variables 134 -- 1.2 First law in magnetic variables 136 -- Chapter 2 Microscopic States and Averages 138 -- 2.1 Magnetic states, angular momentum and paramagnetism 138 -- 2.2 Microscopic states, observables 141 -- 2.3 Probabilities and averages 143 -- Chapter 3 Isolated Paramagnet--Microcanonical Ensemble 147 -- 3.1 Number of states and probabilities 147 -- 3.2 Calculating averages and correlations 149 -- 3.3 Numerical examples and Stirling's formula 152 -- Chapter 4 Isolated Paramagnet--Subsystems and Temperature 156 -- 4.1 Microscopic states and thermodynamic equilibrium 156 -- 4.2 [beta] and the temperature 157 -- 4.3 Sharpness of the maximum 158 -- 4.4 Identification of temperature and entropy 161 -- 4.5 Negative temperature 163 -- Chapter 5 Paramagnet at a Given Temperature 165 -- 5.1 Canonical ensemble 165 -- 5.2 Partition function and thermodynamic quantities 167 -- 5.3 Susceptibility and specific heat of a paramagnet 170 -- 5.4 Paramagnet with J > 1/2 173 -- Chapter 6 Order, Disorder and Entropy 174 -- Chapter 7 Comparison with Experiment 177 -- Part III Statistical Physics and Thermodynamics 223 -- Chapter 1 Canonical Ensemble and Thermodynamics 226 -- 1.1 Partition function and the internal energy 226 -- 1.2 Thermodynamic work 228 -- 1.3 Entropy, free energy, the first and second laws 233 -- 1.4 Paramagnet--revisited 236 -- 1.5 On the statistical meaning of the free energy 237 -- Chapter 2 Harmonic Oscillator and Einstein Solid 243 -- 2.1 Microscopic states 243 -- 2.2 Partition function for oscillators 245 -- 2.3 Einstein's solid 248 -- Chapter 3 Statistical Mechanics of Classical Systems 253 -- 3.1 Statistical mechanics of a single particle 253 -- 3.2 Statistical mechanics of a classical gas 258 -- Chapter 4 Statistical Mechanics of an Ideal Gas 261 -- 4.1 Ideal gas 261 -- 4.2 Mixtures of ideal gases--Dalton's law 263 -- 4.3 Maxwell-Boltzmann distribution and equipartition 265 -- 4.4 Ideal gas of quantum particles 268 -- Chapter 5 Gibbs Paradox and the Third Law 275 -- 5.1 Two difficulties 275 -- 5.2 Gibbs paradox and its resolution 276 -- 5.3 Remarks on the third law of thermodynamics 281 -- Chapter 6 Fluctuations and Thermodynamic Quantities 284 -- 6.1 Paramagnet: fluctuations in the magnetization 284 -- 6.2 Energy fluctuations and the specific heat 286 -- Part IV From Ideal Gas to Photon Gas 337s -- Chapter 1 An Ideal Gas of Molecules with Internal Degrees of Freedom 340 -- 1.1 Center of mass and internal motions 340 -- 1.2 Kinematics of a diatomic molecule 342 -- 1.3 Gas of general composite molecules 346 -- 1.4 Diatomic gas: classical treatment 352 -- 1.5 Diatomic molecules: vibration and rotation 356 -- 1.6 Equipartition principle and its violation 361 -- 1.7 Diatomic gas--quantum calculation 363 -- Chapter 2 Gases in Chemical Reactions 366 -- 2.1 Conditions for chemical equilibrium 366 -- 2.2 Law of mass action 368 -- 2.3 Dissociation in a diatomic gas 373 -- Chapter 3 Phonon Gas and the Debye Model 376 -- 3.1 Sound waves in a crystal 376 -- 3.2 Vibrational modes, phonons and enumeration of states 379 -- 3.3 Debye model 382 -- Chapter 4 Thermodynamics of Electromagnetic Radiation 385 -- 4.1 General considerations of radiation at thermal equilibrium 385 -- 4.2 Radiation density 387 -- 4.3 Black body radiation 390 -- 4.4 Absorption and emission of radiation--Kirchhoff's law 394 -- 4.5 Role of black body radiation in modern physics 398 -- Appendix Calculation of Some Integrals 401 -- Part V Of Fermions and Bosons 451 -- Chapter 1 Grand Canonical Ensemble 454 -- 1.1 Definitions and motivation 454 -- 1.2 Connection to thermodynamics 455 -- Chapter 2 Statistical Mechanics of Identical Quantum Particles 458 -- 2.1 Classification of states--occupation numbers 458 -- 2.2 Quantum statistics--many-particle states 460 -- 2.3 Thermodynamics of fermions and bosons 461 -- 2.4 Average occupation numbers 463 -- Chapter 3 Electrical Conductivity in Metals 466 -- 3.1 Drude model 466 -- 3.2 A critique of the Drude model 470 -- 3.3 Sommerfeld model 471 -- 3.4 Electrons at high and low temperatures 474 -- 3.5 Metals at room temperature 478 -- 3.6 Thermodynamics of the Sommerfeld model 479 -- Chapter 4 Boson Gas 485 -- 4.1 Bose-Einstein distribution 485 -- 4.2 Chemical potential at low temperatures 486 -- 4.3 Bose-Einstein condensation 488 -- 4.4 Superfluidity 490 -- 4.5 Bose-Einstein condensation in helium 493 -- 4.6 Viscosity of a superfluid 497 -- 4.7 Fermi liquid and superconductivity 503 -- Appendix Calculation of Some Integrals 509. |
| Subject |
Statistical physics.
|
| Added Author |
Verbin, Yosef.
|
| ISBN |
9810248636 electronic bk. |
|
9789810248635 electronic bk. |
|
981023192X |
|
9789810231927 |
|
9810234767 sc |
|
9789810234768 sc |
|
