Phase Transitions: Modern Applications (2nd Edition)This book provides a comprehensive review of the theory of phase transitions and its modern applications, based on the five pillars of the modern theory of phase transitions: the Ising model, mean field, scaling, renormalization group and universality. This expanded second edition includes, along with a description of vortices and high temperature superconductivity, a discussion of phase transitions in chemical reactions and moving systems. The book covers the close connection between phase transitions and small world phenomena as well as scale-free systems such as the stock market and the Internet. |
Contents
| 1 | |
2 Thermodynamics of Phase Transitions | 7 |
3 The Ising Model | 23 |
4 Mean Field Theory | 37 |
5 Scaling | 53 |
6 The Renormalization Group | 65 |
7 Phase Transitions in Quantum Systems | 79 |
8 Universality | 101 |
9 Phase Transitions in Reactive Systems | 121 |
10 Phase Transitions in Moving Systems | 149 |
11 Random and Small World Systems | 161 |
12 SelfOrganized Criticality | 175 |
| 191 | |
| 197 | |
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Common terms and phrases
analysis approximation atoms behavior binary mixture block lattice Bose–Einstein condensation bosons Chapter chemical potential chemical reaction coefficients coexistence curve components configurations connected constant correlation length critical indices critical temperature defined density dependence described diffusion dimensions disordered electrons entropy equation equilibrium ferromagnetic finite fixed point fluctuations fluid following form free energy Gaussian Hamiltonian Heisenberg model homogeneous interactions Ising model Landau leads linear liquid magnetic field magnetic moment mean field theory metastable nearest neighbors networks obtained one-dimensional Onsager order parameter order phase transition pair partition function phase separation phase transition occurs phenomena physical power-law distribution properties quantum random graphs renormalization group scale-free shown in Fig singularities small world solution of Eq spin glasses stability superconductors superfluidity term thermal thermodynamic tion universality class values velocity vortex vortices wave function Wqss zero