Shkilev V P
Chuiko Institute of Surface Chemistry, National Academy of Sciences of Ukraine, 17 General Naumov Street, 03164 Kyiv, Ukraine.
Phys Rev E. 2017 Jul;96(1-1):012126. doi: 10.1103/PhysRevE.96.012126. Epub 2017 Jul 12.
Continuous-time random walks of a particle that is randomly reset to an initial position are considered. The distribution of the waiting time between the reset events is represented as a sum of an arbitrary number of exponentials. The governing equation of this stochastic process is established. The mean first-passage time to a particular position is calculated. It is shown that anomalous subdiffusion has a significant impact on the shape of the stationary state.
考虑一个粒子的连续时间随机游走，该粒子会随机重置到初始位置。重置事件之间的等待时间分布表示为任意数量指数函数的和。建立了这个随机过程的控制方程。计算了到达特定位置的平均首次通过时间。结果表明，反常亚扩散对稳态的形状有显著影响。
