Stochastic drift in discrete waves of nonlocally interacting particles
Stochastic drift in discrete waves of nonlocally interacting particles
复制标题
非局域相互作用粒子的离散波中的随机漂移
DOI：
10.1103/physreve.107.014128
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发表时间：
2023
影响因子：
2.4
通讯作者：
Sontag A
中科院分区：
文献类型：
--
作者：
Sontag A
本文研究了晶格上发生二阶非局域相互作用的粒子的广义模型。我们的结果在许多研究领域都有应用，包括迁徙、信息动力学和穆勒棘轮的建模--有害突变在进化的种群中不可逆转地积累。值得注意的是，观察到该模型的数值模拟明显偏离其平均场近似，即使在大人口规模下也是如此。我们发现，确定性解和随机解之间的不一致源于有限尺寸效应，它改变了传播速度并导致波的位置起伏。这些效应分别以反常的方式衰减--比通常的因素慢得多。我们的结果表明，穆勒棘轮中有害突变的积累和种群中意识的丧失可能比相应的确定性模型预测的要快得多。我们的模型的普遍适用性表明，这种意想不到的伸缩在现实世界的广泛应用中可能是重要的。
In this paper, we investigate a generalized model ofparticles undergoing second-order nonlocal interactions on a lattice. Our results have applications across many research areas, including the modeling of migration, information dynamics, and Muller's ratchet—the irreversible accumulation of deleterious mutations in an evolving population. Strikingly, numerical simulations of the model are observed to deviate significantly from its mean-field approximation even for large population sizes. We show that the disagreement between deterministic and stochastic solutions stems from finite-size effects that change the propagation speed and cause the position of the wave to fluctuate. These effects are shown to decay anomalously asand, respectively—much slower than the usualfactor. Our results suggest that the accumulation of deleterious mutations in a Muller's ratchet and the loss of awareness in a population may occur much faster than predicted by the corresponding deterministic models. The general applicability of our model suggests that this unexpected scaling could be important in a wide range of real-world applications.