Squeezing codes: robust fluctuation-stabilized memories

Abstract:We introduce families of classical stochastic dynamics in two and higher dimensions which stabilize order in the absence of any symmetry. Our dynamics are qualitatively distinct from Toom's rule, and have the unusual feature of being fluctuation-stabilized: their order becomes increasingly fragile in larger dimensions. One of our models maintains an ordered phase only in two dimensions. The phase transitions that occur as the order is lost appear to realize new dynamical universality classes which are fundamentally non-equilibrium in character.

Statistical Mechanics (cond-mat.stat-mech); Cellular Automata and Lattice Gases (nlin.CG); Quantum Physics (quant-ph)

arXiv:2509.20730 [cond-mat.stat-mech]

(or arXiv:2509.20730v4 [cond-mat.stat-mech] for this version)

https://doi.org/10.48550/arXiv.2509.20730 Focus to learn more arXiv-issued DOI via DataCite

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