Search dynamics at the edge of extinction: Anomalous diffusion as a critical survival state
Search dynamics at the edge of extinction: Anomalous diffusion as a critical survival state
复制标题
灭绝边缘的搜索动态：异常扩散作为关键的生存状态
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
G. M. Viswanathan
中科院分区：
文献类型：
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作者：
C. L. Faustino;L. R. da Silva;M. G. E. da Luz;E. P. Raposo;G. M. Viswanathan
我们调查的一般问题的自主随机游走的唯一能源是搜索目标，本身扩散随机游走。我们研究了如何通过数值模拟的目标密度的变化，并与固定目标的分析模型的结果进行比较的能量积累。我们报告说，超扩散或目标赋予前者大量的精力充沛的优势。虽然超扩散可能不会对高目标密度发挥关键作用，但相比之下，它在灭绝边缘的低密度极限中赋予了至关重要的优势：扩散性搜索者迅速死亡，但超扩散性搜索者可以生存很长一段时间而不会进入灭绝状态。我们的研究结果在更广泛的背景下的有效性和相关性也进行了讨论。
We investigate the general problem of autonomous random walkers whose sole source of energy are search targets that are themselves diffusing random walkers. We study how the energy accumulated by the searcher varies with the target density via numerical simulations and compare the results with an analytical model for fixed targets. We report that superdiffusion of either searcher or target confers substantial energetic advantages to the former. While superdiffusion may not play a crucial role for high target densities, in contrast it confers a vital advantage in the limit of low densities at the edge of extinction: diffusive searchers rapidly die but superdiffusive searchers can survive for long periods without entering into the extinction state. The validity and relevance of our findings in broader contexts are also discussed.