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引用次数: 0
摘要
我们研究了一维翻滚粒子的存活概率Ⅴ的晚期指数衰减，该粒子从初始方向Ⅴ开始，在约束势下的存活概率Ⅴ在Ⅴ处有一个吸收边界。我们发现存活概率的衰减率与吸收边界的位置 a 有很大关系，吸收边界在临界值 , 时发生冻结转变，其中 , 是自推进速度，γ 是粒子的翻滚速率。对于 ，γ 的值冻结在 。我们还得到了在 x = a 处具有吸收边界条件的传播者。我们的分析结果得到了数值模拟的支持。
Survival probability and position distribution of a run and tumble particle in U ( x ) ...
We study the late-time exponential decay of the survival probability , of a one-dimensional run-and-tumble particle starting from with an initial orientation , under a confining potential with an absorbing boundary at . We find that the decay rate of the survival probability has a strong dependence on the location a of the absorbing boundary, which undergoes a freezing transition at a critical value , where is the self-propulsion speed and γ is the tumbling rate of the particle. For , the value of increases monotonically from zero, as a decreases from infinity, until it attains the maximum value at . For , the value of freezes to the value . We also obtain the propagator with the absorbing boundary condition at x = a. Our analytical results are supported by numerical simulations.
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