Computational Mechanics has been used to analyze experimental physical systems, including:
Richard W. Clarke, Mervyn P. Freeman and Nicholas W. Watkins, "The Application of Computational Mechanics to the Analysis of Geomagnetic Data", Phys. Rev. E 67 (2003) 160-203.
D. Nerukh, G. Karvounis and R. C. Glen, "Complexity of classical dynamics of molecular systems. I. Methodology",
J. Chem. Phys. 117 (2002) 9611-9617.
D. Nerukh, G. Karvounis and R. C. Glen, "Complexity of classical dynamics of molecular systems. II. Finite Statistical
complexity of water-Na+ system", J. Chem. Phys. 117 (2002) 9618-9622.
Computational mechanics has also been used to analyze structural complexity in a number of nonlinear processes:
- Cellular Automata
J. E. Hanson and J. P. Crutchfield, "Computational Mechanics of Cellular Automata: An Example",
Physica D 103
Santa Fe Institute Working Paper
One-dimensional Ising model
J. P. Crutchfield and K. Young,
"Inferring Statistical Complexity", Physical Review Letters 63
[zipped pdf] [pdf]
J. P. Crutchfield and K. Young, "Computation at the Onset of Chaos", in Entropy, Complexity, and Physics of Information
, W. Zurek, editor,
SFI Studies in the Sciences of Complexity, VIII
, Addison-Wesley, Reading, Massachusetts (1990) 223-269.
Two-dimensional Ising model
Hidden Markov Models
- David Polant Feldman, "Computational Mechanics of Classical Spin Systems", Ph.D. Thesis, University of California, Davis (1998).
J. P. Crutchfield and D. P. Feldman, "Statistical Complexity of Simple 1D Spin Systems",
Physical Review E 55
:2 (1997) 1239R-1243R.
D. R. Upper, "Theory and Algorithms for Hidden Markov Models and Generalized
Hidden Markov Models", Ph.D. Dissertation, Mathematics Department, University of California (February 1997).