T_M1: Advanced Statistical Physics – Materials

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Lecture Notes 

Lecture Notes (28.06.2022; will be updated in the course of the lecture)

Preliminary handwritten notes on K-T-transition in X-Y-model (non-adapted notation; for completeness, we recommend that you take your own notes for the upcoming lectures)

Notes of Previous Lecture (The contents of this year's lecture will differ from these lecture notes.)

Lecture Slides

Mon, April 25: Introduction

Mon, May 2: Basic Concepts

Fri, May 20: Liquid matter

Mon, May 30: Liquid crystals

Fri, June 10: Ising model

Mon, June 27: Wilson RG

Mon, July 18: Active matter

Fri, July 22: RG summary

Fri, July 29: Active matter

Recommended Literature

• Principles of Condensed Matter Physics, P. M. Chaikin, T. C. Lubensky
• Statistical Physics of Fields, M. Kardar
• Statistical Physics of Particles, M. Kardar
• Statistical Mechanics, F. Schwabl (German version available)
• Introduction to Modern Statistical Mechanics, D. Chandler
• Scaling and Renormalisation in Statistical Physics, J. Cardy (esp. chapters 1 - 3)

Additional Material

• Osmosis, from molecular insights to large-scale applications, Sophie Marbach, Lydéric Bocquet
• chapters 1, 2, and 4 in M. Rubinstein and R.H. Colby: Polymer Physics, Oxford University Press (2003)
• For the topic of percolation theory, we recommend the script by Kim Christensen to read along the lecture as well as the shorter review Introduction to Percolation Theory by Armin Bunde.
• Statistical Mechanics of Membranes and Surfaces, D. Nelson
• Hydrodynamics of soft active matter, M. C. Marchetti et al., Rev. Mod. Phys. 85, 1143 (2013)
• Active field theories, M. E. Cates, Les Houches lecture notes (2018)
• Phase behaviour of colloids in confining geometry (review on 2d melting), Clemens Bechinger, Erwin Frey