Optimization of First Passage Times by Multiple Cooperating Mobile Traps

摘要: We study the mean capture time of an unbiased random walker by multiple absorbing mobile traps in bounded domains one and two spatial dimensions. In dimension, we consider undergoing prescribed oscillatory motion on interval with reflecting or boundary conditions. develop trap cooperation strategies which optimize time. find that as frequency oscillation passes through certain fixed values, optimal strategy alternates between oscillating exactly phase out neighboring traps. also demonstrate a scenario configuration is neither nor antiphase. dimensions, small rotating same angular velocity $\omega$ inside unit disk characterize positions (radii rotation relative phase) function radius $\varepsilon \ll 1$. identify several distinguished regimes where ...