finding

active

finding:at-thermal-equilibrium-ability-to-converge-to-an-ordered-phase-is-independent-of-energy-levels-and-window-sizes-lemma-1

At thermal equilibrium, ability to converge to an ordered phase is independent of energy levels and window sizes (Lemma 1)

Scaling argument depends only on perimeter, not details of energy magnitudes or window length

Source paper

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Topological constraints on self-organisation in locally interacting systems

(2025) · Francesco Sacco · Dalton A R Sakthivadivel · Michael Levin

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Claims (1)

claim

The results generalise readily to non-equilibrium systems where scaling relationships remain similar (e.g., dynamic or localised scaling).
supports
Claim about broader applicability of the scaling argument

Communities (4)

community

Causal emergence in biological systems
members_of
Examines how macro-scale causal power exceeds micro-scale in living and learning systems.
Hierarchical structure and multiscale coherence in physical systems
members_of
How graph topology and hierarchical interaction patterns enable or prevent phase transitions and ordered states, from statistical mechanics to biological organization.
Scaling laws and phase transitions
members_of
Universal convergence to ordered phases independent of system parameters, extending from equilibrium to non-equilibrium dynamics.
Hopfield network thermal equilibrium convergence
members_of
Lemmas showing ordered phase convergence is invariant to energy levels, window sizes, and pattern count m

Related by similarity (8)

cosine ≥ 0.65 · no typed edge

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