风驱动火灾中的间歇性
Intermittency in Wind-Driven Fires
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中文总结 AI 辅助
本研究构建一维风驱动森林火灾模型，揭示火势跳跃间隙的机制，并发现闪电频率介于罕见与频繁之间时，系统出现确定性与混沌动力学共存的间歇性现象。
中文摘要 AI 辅助
我们构建了一个一维风驱动森林火灾模型，在该模型中，火可以跳过树木之间的间隙，点燃不相连的下风森林。火能跳过的间隙大小取决于火势强度，火势在树木间传播时增强，在跳过间隙时减弱。树木以速率 $r$ 在空地上生长，闪电以速率 $f$ 击中每个地点。当 $f\ll r/L$（其中 $L$ 为系统长度）时，闪电足够罕见，从而出现准确定性动力学，即当闪电引发的火灾发生时，所有树木均被消耗。对于 $f\gg L^{-\mu}$（其中 $\mu\approx 0.8$），闪电足够频繁，达到稳态，但森林和间隙尺寸分布出现意外行为。间歇性出现在这些机制之间，具有确定性和混沌动力学的时间域共存。
英文摘要
We construct a wind-driven forest-fire model in one dimension in which a fire can jump gaps between trees to ignite disjoint downwind forests. The size of a gap that a fire can jump depends on the fire intensity, which increases as the fire propagates through trees and diminishes as the fire jumps gaps. Trees grow on empty sites at rate $r$ and lightning strikes each site with rate $f$. When $f\ll r/L$, where $L$ is the system length, lightning is sufficiently rare that quasi-deterministic dynamics arises where all trees are consumed when a lightning-induced fire occurs. For $f\gg L^{-μ}$ with $μ\approx 0.8$, lightning is sufficiently frequent that a steady state is reached, but with unexpected behaviors for the forest- and gap-size distributions. Intermittency arises in between these regimes, with coexisting temporal domains of deterministic and chaotic dynamics.
发表机构
- Vermont Complex Systems Institute and Department of Computer Science, University of Vermont（佛蒙特大学复杂系统研究所与计算机科学系）
- Complexity Science Hub（复杂性科学中心）
- Santa Fe Institute（圣塔菲研究所）
机构由 AI 辅助整理，请以论文原文为准。
