Statistical Field Theory
by R R Horgan
Publisher: University of Cambridge 2010
Number of pages: 75
These notes are concerned with the physics of phase transitions: the phenomenon that in particular environments, quantified by particular values of external parameters such as temperature, magnetic field etc., many systems exhibit singularities in the thermodynamic variables which best describe the macroscopic state of the system.
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by Ben Simons - University of Cambridge
Contents -- Preface; Chapter 1: Critical Phenomena; Chapter 2: Ginzburg-Landau Theory; Chapter 3: Scaling Theory; Chapter 4: Renormalisation Group; Chapter 5: Topological Phase Transitions; Chapter 6: Functional Methods in Quantum Mechanics.
by Daniel Arovas - University of California, San Diego
Contents: Probability 2. Thermodynamics 3. Ergodicity and the Approach to Equilibrium 4. Statistical Ensembles 5. Noninteracting Quantum Systems 6. Classical Interacting Systems 7. Mean Field Theory of Phase Transitions 8. Nonequilibrium Phenomena.
by Christian Gogolin - arXiv
A new approach towards the foundations of Statistical Mechanics is explored. The approach is genuine quantum in the sense that statistical behavior is a consequence of objective quantum uncertainties due to entanglement and uncertainty relations.
by Josiah Willard Gibbs - Charles Scribner's Sons
Written by J. Willard Gibbs, this book was the first to bring together and arrange in logical order the works of Clausius, Maxwell, Boltzmann, and Gibbs himself. The text remains a valuable collection of fundamental equations and principles.