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Bibliographic Details
Main Author: Sambey, Stanley Everett
Format: Recurso digital
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Published: Zenodo 2026
Online Access:https://doi.org/10.5281/zenodo.19489826
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Table of Contents:
  • <p>We investigate persistence of topological structures in a stochastic lattice model under<br>varying levels of constraint coupling. Holding all dynamical rules fixed, we vary a sin-<br>gle parameter γ controlling irreversible distinguishability. Below a threshold γc ≈ 0.44,<br>vortex structures rapidly annihilate, yielding near-zero long-term populations. Above this<br>threshold, persistent vortices emerge and survive for the full duration of simulations. This<br>transition-like behavior is robust across independent realizations.<br>The results demonstrate that persistence in this class of models is not guaranteed by<br>dynamics alone but requires irreversible constraint coupling above a critical level. While the<br>model is specific, it provides a minimal example of threshold-dependent persistence driven<br>by constraint structure rather than energy minimization.</p> <p><br>Keywords: irreversible constraint pruning, persistence, nonequilibrium dynamics, thresh-<br>old behavior, topological defects, lattice simulation, distinguishability, absorbing-state tran-<br>sitions</p>