| MEHRAN KARDAR is Professor of Physics at MIT, where he has taught and researched in the field of statistical physics for the past 20 years. He received his B.A. at Cambridge, and gained his Ph.D. at MIT. Professor Kardar has held research and visiting positions as a junior Fellow at Harvard,Guggenheim Fellow at Oxford, UCSB, and at Berkeley as a Miller Fellow. |
| preface 1 thermodynamics 1.1 introduction 1.2 the zeroth law 1.3 the first law 1.4 the second law 1.5 carnot engines 1.6 entropy 1.7 approach to equilibrium and thermodynamic potentials 1.8 useful mathematical results 1.9 stability conditions 1.10 the third law problems 2 probability 2.1 general definitions 2.2 one random variable 2.3 some important probability distributions 2.4 many random variables 2.5 sums of random variables and the central limit theorem 2.6 rules for large numbers 2.7 information, entropy, and estimation problems 3 kinetic theory of gases 3.1 general definitions 3.2 liouville's theorem 3.3 the bogoliubov-born--green-kirkwood-yvon hierarchy 3.4 the boltzmann equation 3.5 the h-theorem and irreversibility 3.6 equilibrium properties 3.7 conservation laws 3.8 zeroth-order hydrodynamics 3.9 first-order hydrodynamics problems 4 classical statistical mechanics 4.1 general definitions 4.2 the microcanonical ensemble 4.3 two-level systems 4.4 the ideal gas 4.5 mixing entropy and the gibbs paradox 4.6 the canonical ensemble 4.7 canonical examples 4.8 the gibbs canonical ensemble 4.9 the grand canonical ensemble problems 5 intenmeting particles 5.1 the cumulant expansion 5.2 the cluster expansion 5.3 the second virial coefficient and van der waals equation 5.4 breakdown of the van der waals equation 5.5 mean-field theory of condensation 5.6 variational methods 5.7 corresponding states 5.8 critical point behavior problems 6 quantum statistical mechanics 6.1 dilute polyatomic gases 6.2 vibrations of a solid 6.3 black-body radiation 6.4 quantum microstates 6.5 quantum macrostates problems 7 ideal quantum gases 7.1 hilbert space of identical particles 7.2 canonical formulation 7.3 grand canonical formulation 7.4 non-relativistic gas 7.5 the degenerate fermi gas 7.6 the degenerate bose gas 7.7 superfiuid hen problems solutions to selected problems chapter 1 chapter 2 chapter 3 chapter 4 chapter 5 chapter 6 chapter 7 index |
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