Constraint-Bounded Transport Exhibits a Bounded Optimal Coupling Regime: An Invariance Test of ΔΦ-Based Dynamics
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| Natura: | Recurso digital |
| Lingua: | inglese |
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Zenodo
2026
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| _version_ | 1866901467229585408 |
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| author | Mitchell , Thomas S. |
| author_facet | Mitchell , Thomas S. |
| contents | <p>This work tests whether a fixed optimal coupling constant (p* ≈ 0.106) universally governs transport efficiency in systems described by ΔΦ = ρ × v.<br>A constraint-bounded transport model was evaluated across multiple graph topologies, system sizes, noise levels, and update rules. The results show that p* is not invariant and varies significantly across implementations.<br>However, all tested systems exhibit a consistent structural pattern: transport efficiency peaks within a bounded intermediate coupling regime. Both under-coupling and over-coupling degrade performance.<br>The central finding is that constraint-bounded transport systems exhibit a robust optimal coupling regime rather than a fixed optimal value. This reframes the hypothesis as a constraint-defined phase structure.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19845641 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Constraint-Bounded Transport Exhibits a Bounded Optimal Coupling Regime: An Invariance Test of ΔΦ-Based Dynamics Mitchell , Thomas S. transport dynamics complex systems network systems phase transition coupling optimization graph dynamics nonlinear systems dynamical systems <p>This work tests whether a fixed optimal coupling constant (p* ≈ 0.106) universally governs transport efficiency in systems described by ΔΦ = ρ × v.<br>A constraint-bounded transport model was evaluated across multiple graph topologies, system sizes, noise levels, and update rules. The results show that p* is not invariant and varies significantly across implementations.<br>However, all tested systems exhibit a consistent structural pattern: transport efficiency peaks within a bounded intermediate coupling regime. Both under-coupling and over-coupling degrade performance.<br>The central finding is that constraint-bounded transport systems exhibit a robust optimal coupling regime rather than a fixed optimal value. This reframes the hypothesis as a constraint-defined phase structure.</p> |
| title | Constraint-Bounded Transport Exhibits a Bounded Optimal Coupling Regime: An Invariance Test of ΔΦ-Based Dynamics |
| topic | transport dynamics complex systems network systems phase transition coupling optimization graph dynamics nonlinear systems dynamical systems |
| url | https://doi.org/10.5281/zenodo.19845641 |