种群动力学最小模型中的自组织超均匀性
Self-organized hyperuniformity in a minimal model of population dynamics
AI总结：
通过推广一类解释生物系统中持久瞬态的模型，发现超均匀性新机制。个体对共享资源的竞争作反馈，引导种群至临界稳态。该多体模型在空间扩展时呈现超均匀密度波动，还发展了流体动力学理论。
摘要：
通过推广最近引入的一类用于解释生物系统中持久瞬态的模型，我们确定了一种超均匀性的新机制。在这个模型中，个体对共享资源的竞争作为一种反馈，可以渐近地引导种群走向具有发散个体寿命的临界稳态。我们表明，在其空间扩展形式中，这个多体模型表现出超均匀密度波动。通过显式粗粒化，我们发展了一种与随机模拟结果密切相符的流体动力学理论。与以前的非平衡超均匀态模型不同，我们的模型即使在渐近区域也不表现出守恒定律。相反，超均匀性源于资源介导相互作用范围的发散。这些发现可能在工程、细胞种群动力学和生态学中得到应用。
英文摘要：
By generalizing a class of models recently introduced to account for protracted transients in biological systems, we identify a novel mechanism for hyperuniformity. In this model, competition of individuals over a shared resource serves as feedback that can asymptotically guide the population towards a critical steady state with divergent individual life time. We show that, in its spatially extended form, this many-body model exhibits hyperuniform density fluctuations. Through explicit coarse-graining, we develop a hydrodynamic theory that conforms closely with the results of stochastic simulations. Unlike previous models for non-equilibrium hyperuniform states, our model does not exhibit conservation laws, even in the asymptotic regime. Instead, hyperuniformity arises from the divergence of the range of the resource-mediated interactions. These findings may find applications in engineering, cellular population dynamics, and ecology.
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