Structural Response and Residual Migration Under Persistent Flux and Finite Carrying Capacity
欧阳佳惠1
作者信息
1. 西北师范大学
折叠
Abstract
Under persistent flux conditions, any structure must maintain stability within the constraints of finite carrying capacity. Structural states are not determined by flux intensity alone, but by the dynamic matching between incoming flux and currently available carrying capacity. As this matching relation shifts, structural responses unfold sequentially as intra-level compression, inter-level transition, and eventual rupture or large-scale reconfiguration.
Within this framework, the portion of structural deviation that cannot be immediately integrated is defined as residual. Residuals migrate along two independent axes: temporally, by moving across distinct time scales where they may either accumulate as long-term deposition or remain compressed within short windows; spatially, by inducing structural refinement or reconfiguration that opens new integration pathways. Structural failure or global transition occurs only when both temporal and spatial migration pathways become constrained.
Differences in carrying-path geometry generate distinct time-scale distributions and depths of residual migration. Residuals that successfully traverse short temporal windows and enter slower scales produce long-term locking and structural memory. When confined to rapid layers, they manifest as sustained oscillation or compensatory activity.
This dynamical framework is concretely illustrated in biological systems. Embryonic development can be interpreted as cross-scale residual migration and structural locking, while sustained load in adulthood represents re-entry and redeposition within established geometries. Development and pathology thus emerge as continuous expressions of residual dynamics under different temporal depths and carrying conditions.
Based on the flux-capacity-matching relation, this study proposes a unified dynamical description of structural response, residual migration, and long-term deposition, with biological formation and long-term transformation serving as illustrative biological cases.
欧阳佳惠.Structural Response and Residual Migration Under Persistent Flux and Finite Carrying Capacity[EB/OL].(2026-03-17)[2026-03-18].https://sinoxiv.napstic.cn/article/25674756.
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