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随机Lotka-Volterra方程中维度诱导的临界相变:从统计平均到系统临界点

Dimensionality-induced critical phase transition in stochastic Lotka-Volterra equation: From statistical averaging to systemic tipping point

Xiu-deng Zheng, Cong Li, Hui Zhang, Hui-jie Qiao, Shao-peng Wang, Yi Tao

arXiv 2608.30655首次发表:更新:

AI 中文总结

研究人员通过分析随机Lotka-Volterra方程,将生态学多样性-稳定性辩论的逻辑表述为维度诱导的临界相变,统一了对立预测并设定了随机生态群落的内在多样性上限。

AI 中文摘要

通过分析随机Lotka-Volterra(LV)方程,我们表明生态学中多样性-稳定性辩论的底层逻辑可被表述为维度诱导的临界相变,该相变将由统计平均主导的区域与系统临界点分隔开。这一相变框架统一了多样性-稳定性辩论中对立的生态学预测,并为随机生态群落设定了内在多样性上限。

英文摘要

By analyzing a stochastic Lotka-Volterra (LV) equation, we show that the underlying logic behind the diversity-stability debate in ecology can be framed as a dimensionality-induced critical phase transition, that is, a transition separating the regime dominated by statistical averaging and a systemic tipping point. This phase transition framework unifies the opposing ecological predictions in the diversity-stability debate and sets an intrinsic diversity ceiling for stochastic ecological communities.

Comments18 pages, 2 figures

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