Anatomy of a Spin: The Information-Theoretic Structure of Classical Spin Systems
AbstractCollective organization in matter plays a significant role in its expressed physical properties. Typically, it is detected via an order parameter, appropriately defined for each given system’s observed emergent patterns. Recent developments in information theory, however, suggest quantifying collective organization in a system- and phenomenon-agnostic way: decomposing the system’s thermodynamic entropy density into a localized entropy, that is solely contained in the dynamics at a single location, and a bound entropy, that is stored in space as domains, clusters, excitations, or other emergent structures. As a concrete demonstration, we compute this decomposition and related quantities explicitly for the nearest-neighbor Ising model on the 1D chain, on the Bethe lattice with coordination number
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Vijayaraghavan, V.S.; James, R.G.; Crutchfield, J.P. Anatomy of a Spin: The Information-Theoretic Structure of Classical Spin Systems. Entropy 2017, 19, 214.
Vijayaraghavan VS, James RG, Crutchfield JP. Anatomy of a Spin: The Information-Theoretic Structure of Classical Spin Systems. Entropy. 2017; 19(5):214.Chicago/Turabian Style
Vijayaraghavan, Vikram S.; James, Ryan G.; Crutchfield, James P. 2017. "Anatomy of a Spin: The Information-Theoretic Structure of Classical Spin Systems." Entropy 19, no. 5: 214.
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