Hans-Otto Georgii 
Gibbs Measures and Phase Transitions [PDF ebook] 

Frontmatter — Preface — Contents — Introduction — Part I. General theory and basic examples — Chapter 1 Specifications of random fields — Chapter 2 Gibbsian specifications — Chapter 3 Finite state Markov chains as Gibbs measures — Chapter 4 The existence problem — Chapter 5 Specifications with symmetries — Chapter 6 Three examples of symmetry breaking — Chapter 7 Extreme Gibbs measures — Chapter 8 Uniqueness — Chapter 9 Absence of symmetry breaking. Non-existence — Part II. Markov chains and Gauss fields as Gibbs measures — Chapter 10 Markov fields on the integers I — Chapter 11 Markov fields on the integers II — Chapter 12 Markov fields on trees — Chapter 13 Gaussian fields — Part III. Shift-invariant Gibbs measures — Chapter 14 Ergodicity — Chapter 15 The specific free energy and its minimization — Chapter 16 Convex geometry and the phase diagram — Part IV. Phase transitions in reflection positive models — Chapter 17 Reflection positivity — Chapter 18 Low energy oceans and discrete symmetry breaking — Chapter 19 Phase transitions without symmetry breaking — Chapter 20 Continuous symmetry breaking in N-vector models — Bibliographical Notes — Further Progress — References — References to the Second Edition — List of Symbols — Index

Hans-Otto Georgii, Ludwig-Maximilians-Universität Munich, Germany.