论文标题

嘈杂选民模型的非线性变换中的异常扩散

Anomalous diffusion in nonlinear transformations of the noisy voter model

论文作者

Kazakevičius, Rytis, Kononovicius, Aleksejus

论文摘要

选民模型在跨学科社区中是众所周知的,但是从异常扩散的角度来看,它们尚未被研究。在本文中,我们表明原始选民模式展示了弹道制度。观察变量和时间尺度的非线性变换使我们能够观察其他异常扩散和正常扩散方案。我们表明,数值模拟结果与描述原始力矩的时间演化的衍生分析近似相吻合。

Voter models are well known in the interdisciplinary community, yet they haven't been studied from the perspective of anomalous diffusion. In this paper we show that the original voter model exhibits ballistic regime. Non-linear transformations of the observation variable and time scale allows us to observe other regimes of anomalous diffusion as well as normal diffusion. We show that numerical simulation results coincide with derived analytical approximations describing the temporal evolution of the raw moments.

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