Statistical Complexity of Simple 1D Spin Systems

Details Statistical Complexity of Simple 1D Spin Systems Statistical Complexity of Simple 1D Spin Systems

1997-02-21

arxiv.org/abs/cond-mat/9702191v1

Physical Review E, 55:2 (1997) 1239R

Physics

Condensed Matter

Statistical Mechanics

4 pages with 2 eps Figures. Uses RevTeX macros. Also available at http://www.santafe.edu/projects/CompMech/papers/CompMechComm

Scientific paper

10.1103/PhysRevE.55.R1239

We present exact results for two complementary measures of spatial structure generated by 1D spin systems with finite-range interactions. The first, excess entropy, measures the apparent spatial memory stored in configurations. The second, statistical complexity, measures the amount of memory needed to optimally predict the chain of spin values. These statistics capture distinct properties and are different from existing thermodynamic quantities.

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