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| Autor principal: | |
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| Formato: | Recurso digital |
| Idioma: | inglês |
| Publicado em: |
Zenodo
2026
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| Assuntos: | |
| Acesso em linha: | https://doi.org/10.5281/zenodo.19334759 |
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Sumário:
- <p>This paper investigates the dynamical formation and growth of domains in stabilisation lattice dynamics. Starting from disordered initial conditions, we measure the evolution of characteristic domain size using sign-field correlations.</p> <p>We find that domain growth follows an approximate power law L(t) ~ t^alpha with exponent alpha ≈ 0.39, which is smaller than the value expected for curvature-driven coarsening in standard ordering systems.</p> <p>This slower growth indicates that domain evolution is governed by finite-range stabilisation propagation rather than curvature-driven dynamics. Within the geometric stabilisation framework, ordering spreads through local basin interactions, leading to gradual, locally mediated coarsening consistent with a screened propagation mechanism.</p> <p>Together with previous results on probability, correlation, spatial propagation and the absence of criticality, these findings provide a unified geometric description of both static and dynamical structure formation in stabilisation systems.</p> <p>Subsequent work further extends this framework through operator-based resolution dynamics and phase structure.</p>