04-10-0586 Mathematical Statistical Mechanics

Lehrende: Prof. Dr. rer. nat. Volker Martin Betz; Dr. Benjamin Lees

Veranstaltungsart: Vorlesung und Übung

Orga-Einheit: FB04 Mathematik

Anzeige im Stundenplan: 04-10-0586

Fach:

Anrechenbar für:

Semesterwochenstunden: 6

Unterrichtssprache: Englisch

Min. | Max. Teilnehmerzahl: - | -

Lehrinhalte:
We will study models for spatially extended systems of many interacting particles that are subject to noise. The most prominent example is the Ising model, but we will also consider other models like the Potts model. For these models, we will consider the question of infinite volume limits, phase transitions, correlation inequalities, thermodynamic variables, and alternative (e.g. Random walk) representations.

Literatur:
1) Sacha Friedli and Yvan Velenik: Statistical Mechanics of Lattice Systems, Cambridge University Press 2017. 2) Hugo Duminil-Copin: Graphical Representations of Lattice Spin Models, availabe from his home page.

Voraussetzungen:
Probability Theory bzw. Wahrscheinlichkeitstheorie

Online-Angebote:
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