Equilibrium Statistical Physics (3rd Edition)This third edition of one of the most important and best selling textbooks in statistical physics, is a graduate level text suitable for students in physics, chemistry, and materials science.The discussion of strongly interacting condensed matter systems has been expanded. A chapter on stochastic processes has also been added with emphasis on applications of the Fokker-Planck equation.The modern theory of phase transitions occupies a central place. The chapter devoted to the renormalization group approach is largely rewritten and includes a detailed discussion of the basic concepts and examples of both exact and approximate calculations. The development of the basic tools includes a chapter on computer simulations in which both Monte Carlo method and molecular dynamics are introduced, and a section on Brownian dynamics added.The theories are applied to a number of important systems such as liquids, liquid crystals, polymers, membranes, Bose condensation, superfluidity and superconductivity. There is also an extensive treatment of interacting Fermi and Bose systems, percolation theory and disordered systems in general. |
Contents
| 1 | |
2 Statistical Ensembles | 29 |
3 Mean Field and Landau Theory | 63 |
4 Applications of Mean Field Theory | 109 |
5 Dense Gases and Liquids | 143 |
6 Critical Phenomena I | 183 |
The Renormalization Group | 237 |
8 Stochastic Processes | 303 |
10 Polymers and Membranes | 383 |
11 Quantum Fluids | 421 |
12 Linear Response Theory | 461 |
13 Disordered Systems | 513 |
Appendix A Occupation Number Representation | 569 |
| 583 | |
| 603 | |
9 Simulations | 349 |
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Common terms and phrases
approach approximation assume atoms calculation canonical ensemble chain Chapter chemical potential cluster coefficients configuration Consider correlation function correlation length corresponding cosh coupling constants critical exponents critical point critical temperature cubic define density derive dimensionality dimensions discussion disordered dynamics eigenvalues electron entropy equilibrium expansion expectation value expression Fermi fermions Figure finite fixed point fluctuations fluid Fokker–Planck equation Gaussian given Hamiltonian Heisenberg model Helmholtz free energy ideal gas integral interaction Ising model Landau linear liquid magnetic field matrix mean field theory membranes method molecules Monte Carlo nearest-neighbor neighbors number of particles obtain one-dimensional operators order parameter pair partition function percolation phase transition polymer problem recursion relations renormalization group scaling Section simulation solution specific heat spin superfluid susceptibility symmetry thermal thermodynamic limit transformation tricritical point two-dimensional variables velocity wave vector zero