Mean First Passage Time for a Small Rotating Trap inside a Reflective Disk

@article{Tzou2015MeanFP,
  title={Mean First Passage Time for a Small Rotating Trap inside a Reflective Disk},
  author={J. C. Tzou and Theodore Kolokolnikov},
  journal={Multiscale Model. Simul.},
  year={2015},
  volume={13},
  pages={231-255}
}
We compute the mean first passage time (MFPT) for a Brownian particle inside a two-dimensional disk with reflective boundaries and a small interior trap that is rotating at a constant angular velocity. The inherent symmetry of the problem allows for a detailed analytic study of the situation. For a given angular velocity, we determine the optimal radius of rotation that minimizes the average MFPT over the disk. Several distinct regimes are observed, depending on the ratio between the angular… 
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