Volume 127, Number 6, September 2019
|Number of page(s)||7|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||08 November 2019|
Optimal steering of a smart active particle
Institute of Theoretical Physics, Technische Universität Berlin - Hardenbergstr. 36, D-10623 Berlin, Germany
Received: 26 July 2019
Accepted: 4 October 2019
We formulate the theory for steering an active particle with optimal travel time between two locations and apply it to the Mexican hat potential without brim. For small heights the particle can cross the potential barrier, while for large heights it has to move around it. Thermal fluctuations in the orientation strongly affect the path over the barrier. Then we consider a smart active particle and apply reinforcement learning. We show how the active particle learns in repeating episodes to move optimally. The optimal steering is stored in the optimized action-value function, which is able to rectify thermal fluctuations.
PACS: 47.57.-s – Complex fluids and colloidal systems / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion
© EPLA, 2019
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