聖塔非研究所

摘要 We investigate classic 擴散 with the added feature

2020 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 We investigate classic 擴散 with the added feature that a diffusing particle is reset to its starting point each time the particle reaches a specified threshold. In an infinite domain, this…

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論文資訊

  • 類型:已發表論文
  • 日期:2020

摘要

We investigate classic 擴散 with the added feature that a diffusing particle is reset to its starting point each time the particle reaches a specified threshold. In an infinite domain, this process is non-stationary and its probability distribution exhibits rich features. In a finite domain, we define a non-trivial optimization in which a cost is incurred whenever the particle is reset and a reward is obtained while the particle stays near the reset point. We derive the condition to optimize the net gain in this system, namely, the reward minus the cost.

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