Georgii Gibbs Measures and Phase Transitions

2. ext. Auflage 2011
ISBN: 978-3-11-025032-9
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, Band 9, 556 Seiten

Reihe: De Gruyter Studies in MathematicsISSN

Zielgruppe

Researchers, Graduate Students; Academic Libraries

Autoren/Hrsg.

Georgii, Hans-Otto

Fachgebiete

• Naturwissenschaften Physik Quantenphysik
• Naturwissenschaften Physik Thermodynamik Physik der Zustandsübergänge
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik

Inhaltsverzeichnis

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

Über Autor(innen)

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