Statistical Mechanics and Computations

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Programs from homework from course

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Programs from tutorial from course

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Programs from lectures from course

Book

Code I have written for course: Statistical Mechanics and Computations and also to familiarize myself with git. Includes exercises from the textbook Statistical Mechanics: Algorithms and Computations by Werner Krauth.

Chapter 1 Monte Carlo Methods

• smac.c Useful functions

Section 1.1 Popular Games in Monaco

• 1.1 Implement Algorithm 1.1. Plot error and investigate relationship with N.
• direct-plot.py
• 1.2 Implement Algorithm 1.2. Plot error and rejection rate.
• markov-pi.py
• 1.3 Store state in file
• direct.py
• smacfiletoken.py
• 1.4 Use table
• markov-discrete-pebble.py
• large-markov.pi
• 1.8 Eigenvalues of transfer matrix
• transfer.m
• 1.13 Vectors within Uniform sphere
• sphere-test.py

Section 1.2 Basic Sampling

• 1.9 Sample permutations

• permutation.py

• permutation-test.py

• permutation-histogram.py

• 1.12 Gauss

• naivegauss.py

• boxmuller.py

Section 1.3 Statistical data analysis

• 1.18 Binomial Convolution
• binomialconvolution.py

Section 1.4 Computing

• 1.22 Importance sampling
• direct.gamma-zeta.py
• markov-zeta.py

Chapter 2 Hard Disks and Spheres

Section 2.2 Boltzmann's Statistical Mechanics

• directDisksAny.py