Statistical Complexity of Simple 1D Spin Systems

Berkeley; David P. Feldman (University of California; Davis); James P. Crutchfield (University of California; Santa Fe Institute)

arxiv: cond-mat/9702191 · v1 · submitted 1997-02-21 · ❄️ cond-mat.stat-mech

Statistical Complexity of Simple 1D Spin Systems

James P. Crutchfield (University of California , Berkeley , Santa Fe Institute) , David P. Feldman (University of California , Davis) This is my paper

classification ❄️ cond-mat.stat-mech

keywords measuresspincomplexitymemoryspatialstatisticalsystemsamount

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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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Statistical Complexity of Simple 1D Spin Systems

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