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2026
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| Online Access: | https://doi.org/10.5281/zenodo.19489826 |
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| _version_ | 1866902126314127360 |
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| author | Sambey, Stanley Everett |
| author_facet | Sambey, Stanley Everett |
| 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> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19489826 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Absence of Reversible Branch Convergence in Stochastic Lattice Dynamics Sambey, Stanley Everett <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> |
| title | Absence of Reversible Branch Convergence in Stochastic Lattice Dynamics |
| url | https://doi.org/10.5281/zenodo.19489826 |