Equilibrium Statistical Physics (2nd Edition)Newer Edition Available: Equilibrium Statistical Physics (3rd Edition)This revised and expanded edition of one of the important textbook in statistical physics, is a graduate level text suitable for students in physics, chemistry, and materials science.After a short review of basic concepts, the authors begin the discussion on strongly interacting condensed matter systems with a thorough treatment of mean field and Landau theories of phase transitions. Many examples are worked out in considerable detail. Classical liquids are treated next. Along with traditional approaches to the subject such as the virial expansion and integral equations, newer theories such as perturbation theory and density functional theories are introduced.The modern theory of phase transitions occupies a central place in this book. The development is along historical lines, beginning with the Onsager solution of the two-dimensional Ising model, series expansions, scaling theory, finite-size scaling, and the universality hypothesis. A separate chapter is devoted to the renormalization group approach to critical phenomena. The development of the basic tools is completed in a new chapter on computer simulations in which both Monte Carlo and molecular dynamics techniques are introduced.The remainder of the book is concerned with a discussion of some of the more important modern problems in condensed matter theory. A chapter on quantum fluids deals with Bose condensation, superfluidity, and the BCS and Landau-Ginzburg theories of superconductivity. A new chapter on polymers and membranes contains a discussion of the Gaussian and Flory models of dilute polymer mixtures, the connection of polymer theory to critical phenomena, a discussion of dense polymer mixtures and an introduction to the physical properties of solid and fluid membranes. A chapter on linear response includes the Kubo formalism, the fluctuation-dissipation theorem, Onsager relations and the Boltzmann equation. The last chapter is devoted to disordered materials.Each chapter contains a substantial number of exercises. A manual with a complete set of solutions to these problems is available under separate cover. |
Contents
1 | |
Chapter 2 Statistical Ensembles | 29 |
Chapter 3 Mean Field and Landau Theory | 61 |
Chapter 4 Dense Gases and Liquids | 123 |
Chapter 5 Critical Phenomena I | 163 |
The Renormalization Group | 217 |
Chapter 7 Simulations | 271 |
Chapter 8 Polymers and Membranes | 301 |
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Common terms and phrases
approximation assume atoms Bose gas calculation canonical ensemble chain Chapter chemical potential cluster coefficients configuration Consider correlation function correlation length corresponding cosh coupling constants critical exponents critical point cubic d³r define density derive dimensionality dimensions discussion disordered distribution function eigenvalues electron entropy equation equilibrium expansion expectation value expression Fermi fermions Figure finite fixed point fluctuations Gaussian given grand canonical Hamiltonian Heisenberg model Helmholtz free energy ideal gas integral interaction internal energy Ising model Landau liquid magnetic field mean field theory membranes method molecules Monte Carlo nearest-neighbor number of particles obtain one-dimensional operators order parameter pair partition function percolation phase transition Phys polymer problem recursion relations renormalization group scaling Section self-avoiding simulation specific heat spin square lattice statistical mechanics superfluid surface symmetry thermal thermodynamic limit tricritical tricritical point two-dimensional V₁ variables virial zero