Squeezing codes: robust fluctuation-stabilized memories

Fuente: arXiv
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Autores principales: Lake, Ethan, Ro, Sunghan
Formato: Preprint
Publicado: 2025
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author Lake, Ethan
Ro, Sunghan
author_facet Lake, Ethan
Ro, Sunghan
contents 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 realize new dynamical universality classes which are fundamentally non-equilibrium in character.
format Preprint
id arxiv_https___arxiv_org_abs_2509_20730
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Squeezing codes: robust fluctuation-stabilized memories
Lake, Ethan
Ro, Sunghan
Statistical Mechanics
Cellular Automata and Lattice Gases
Quantum Physics
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 realize new dynamical universality classes which are fundamentally non-equilibrium in character.
title Squeezing codes: robust fluctuation-stabilized memories
topic Statistical Mechanics
Cellular Automata and Lattice Gases
Quantum Physics
url https://arxiv.org/abs/2509.20730