Statistical Complexity of Simple 1D Spin Systems
Skip to main content
eScholarship
Open Access Publications from the University of California

Statistical Complexity of Simple 1D Spin Systems

  • Author(s): Crutchfield, JP
  • Feldman, DP
  • et al.
Abstract

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.

Many UC-authored scholarly publications are freely available on this site because of the UC Academic Senate's Open Access Policy. Let us know how this access is important for you.

Main Content
Current View