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Exercises for a course in my Masters: Advanced Computational Methods in Condensed Matter Physics

Together with Guido Visser, I simulated kinetically-constrained on-lattice models to study the glass transition.

We looked at:

• The East model
• The one-spin Fredrickson-Andersen Model

on a one-dimensional chain in both discrete and continuous time.

We weren't as successful as we hoped: likely because we needed to throw more computational power at longer simulations. (or because of bugs we never isolated)

From the course catalogue:

• exploring and understanding the physics of a model/problem using numerical simulations
• programming and implementation of algorithms
• working independently on a research project
• production, post-processing, analysis, and interpretation of simulation data
• presentation skills

In this course the student can choose from a selection of advanced computational research projects in condensed matter physics, either related to the simulation of quantum many-body systems or from soft condensed matter. Each project requires writing simulation codes (various methods will be covered), generating data, post-processing and analyzing the data, and finally presenting the problem and results to the other students in a pedagogical way. This course is an extension to the courses 'Advanced Numerical Methods in Many-Body Physics' and 'Statistical Physics of Soft and Living Matter', and is an ideal preparation for larger-scope research projects (e.g. Master thesis).

• Either the course 'Advanced Numerical Methods in Many-Body Physics' or the course 'Statistical Physics of Soft and Living Matter' is recommended.
• Previous experience in programming.