Statistical complexity of simple one-dimensional spin systems
- 1 February 1997
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 55 (2) , R1239-R1242
- https://doi.org/10.1103/physreve.55.r1239
Abstract
We present exact results for two complementary measures of spatial structure generated by one-dimensional 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 in configurations. These statistics capture distinct properties and are different from existing thermodynamic quantities.Keywords
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This publication has 2 references indexed in Scilit:
- Elements of Information TheoryPublished by Wiley ,2001
- An Introduction to Kolmogorov Complexity and Its ApplicationsPublished by Springer Nature ,1993