potts-complexity

• Rendered page at: https://frederic-vw.github.io/potts-complexity/
• The functions for entropy rate, excess entropy, Lempel-Ziv complexity (LZ-76), and DFA for discrete time series are contained in the file potts_complexity.py.
• The figure below shows a complexity analysis of sample data (n=10 lattice sites) from Potts model simulations (2D lattice) and can be reproduced with the notebook potts_complexity.ipynb.
• You can run the notebook on mybinder by clicking the “launch binder” icon below:
  

Potts 2D visualization

Dynamics of the 2D Potts system (Q=5) on a lattice (128 x 128) are shown below. The dynamics from the initial random state are included. The critical temperature is Tc=0.85.

Low temperature, T=0.51 (0.6 Tc)

Critical temperature, T=0.85 (1.0 Tc)

High temperature, T=2.55 (3.0 Tc)