Diffusive wave dynamics beyond the continuum limit
Diffusive wave dynamics beyond the continuum limit
复制标题
超出连续极限的扩散波动力学
DOI：
10.1103/physreve.104.014406
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发表时间：
2021
影响因子：
2.4
通讯作者：
Amir, Ariel
中科院分区：
文献类型：
--
作者：
Dieterle, Paul B.;Amir, Ariel
科学家们在群体遗传学和细胞信号传导等不同背景下观察和研究了扩散波。通常，这些波由离散实体或代理传播，例如细胞信号传导情况下的单个细胞。对于一大类扩散波，我们描述了扩散波的集体传播（其中波速由连续介质理论很好地描述）与个体扩散波的传播之间的过渡。我们表明，这种转变在很大程度上取决于波传播的系统的维数，并且无序系统产生的动力学很大程度上与晶格系统一致。在某些系统维度中，紧密堆积的源更准确地模拟连续体的直觉可能会被严重违反。
Scientists have observed and studied diffusive waves in contexts as disparate as population genetics and cell signaling. Often, these waves are propagated by discrete entities or agents, such as individual cells in the case of cell signaling. For a broad class of diffusive waves, we characterize the transition between the collective propagation of diffusive waves, in which the wave speed is well described by continuum theory, and the propagation of diffusive waves by individual agents. We show that this transition depends heavily on the dimensionality of the system in which the wave propagates and that disordered systems yield dynamics largely consistent with lattice systems. In some system dimensionalities, the intuition that closely packed sources more accurately mimic a continuum can be grossly violated.