STATISTICAL COMPLEXITY OF SIMPLE ONE-DIMENSIONAL SPIN SYSTEMS

Citation
Jp. Crutchfield et Dp. Feldman, STATISTICAL COMPLEXITY OF SIMPLE ONE-DIMENSIONAL SPIN SYSTEMS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(2), 1997, pp. 1239-1242
Citations number
15
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
55
Issue
2
Year of publication
1997
Pages
1239 - 1242
Database
ISI
SICI code
1063-651X(1997)55:2<1239:SCOSOS>2.0.ZU;2-O
Abstract
We present exact results for two complementary measures of spatial str ucture generated by one-dimensional spin systems with finite-range int eractions. The first, excess entropy, measures the apparent spatial me mory stored in configurations. The second, statistical complexity, mea sures the amount of memory needed to optimally predict the chain of sp in values in configurations. These statistics capture distinct propert ies and are different from existing thermodynamic quantities.