What Is a Pattern in Statistical Mechanics? Formalizing Structure and Patterns in One-Dimensional Spin Lattice Models with Computational Mechanics

This work formalizes the notions of structure and pattern for three distinct one-dimensional spin-lattice models (finite-range Ising, solid-on-solid, and three-body), using information- and computation-theoretic methods. We begin by presenting a novel derivation of the Boltzmann distribution for fin...

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Autore principale:	Omar Aguilar
Natura:	Artigo
Lingua:	Inglês
Pubblicazione:	MDPI AG 2026-01-01
Serie:	Entropy
Soggetti:	statistical mechanics information theory stochastic processes complexity measures computational mechanics spin models
Accesso online:	https://www.mdpi.com/1099-4300/28/1/123
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