通往动态目标的间歇性路径
Intermittent pathways towards a dynamical target
摘要：
在本文中，我们研究了寻求一个单一的目标，保持固定在一个格子，由一组独立的步行者。目标表现出一个波动的行为之间的陷阱和普通网站的晶格，而步行者执行一种间歇性的搜索策略。我们的搜索者在两种状态中的一种状态下进行运动，它们在这两种状态之间随机切换。这些状态之一（探索阶段）是一个对称的最近邻随机游走和其他状态（重新定位阶段）是一个对称的次最近邻随机游走。通过使用多状态连续时间随机游走的方法，我们能够表明，对于动态目标，间歇性的策略（尽管简单的动力学选择搜索）提高检测，在一个单一的状态相比，位移。我们已经得到了分析结果，可以进行数值评估，生存概率和目标的寿命。因此，我们已经研究了这些量的依赖性，无论是在描述目标的动力学的跃迁概率，并在参数的特征的步行者的不稳定性。除了我们的分析方法，我们已经实施了蒙特卡罗模拟，发现理论-数值结果和模拟之间的良好协议。
英文摘要：
In this paper, we investigate the quest for a single target, that remains fixed in a lattice, by a set of independent walkers. The target exhibits a fluctuating behavior between trap and ordinary site of the lattice, whereas the walkers perform an intermittent kind of search strategy. Our searchers carry out their movements in one of two states between which they switch randomly. One of these states (the exploratory phase) is a symmetric nearest neighbor random walk and the other state (relocating phase) is a symmetric next-nearest neighbor random walk. By using the multistate continuous-time random-walk approach we are able to show that for dynamical targets, the intermittent strategy (despite the simplicity of the kinetics chosen for searching) improves detection, in comparison to displacements in a single state. We have obtained analytic results, that can be numerically evaluated, for the Survival Probability and for the Lifetime of the target. Thus, we have studied the dependence of these quantities both in terms of the transition probability that describes the dynamics of the target and in terms of the parameter that characterizes the walkers' intermittency. In addition to our analytical approach, we have implemented Monte Carlo simulations, finding excellent agreement between the theoretical--numerical results and simulations.
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