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Stationary solution of motion of active Brownian particle

Zhu Wei-Qiu Hong Ming-Chao Deng Mao-Lin Wang Yuan-Mei

Stationary solution of motion of active Brownian particle

Zhu Wei-Qiu, Hong Ming-Chao, Deng Mao-Lin, Wang Yuan-Mei
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  • Abstract views:  3153
  • PDF Downloads:  694
  • Cited By: 0
Publishing process
  • Received Date:  08 October 2003
  • Accepted Date:  31 October 2003
  • Published Online:  15 July 2004

Stationary solution of motion of active Brownian particle

  • 1. (1)浙江大学非线性随机力学实验室,杭州 310027; (2)浙江大学计算中心,杭州 310027; (3)浙江大学生物医学工程系,杭州 310027

Abstract: The stochastic averaging method for a quasi-integrable Hamiltonian system has been applied to the study of the motion of active Brownian particles. Firstly, the stochastic averaging method is introduced. Then, the stationary solution of the dynamic equations governing an active Brownian particle moving in a plane with Schienbein-Gruler velocity-dependent friction model subject to Guassian white noise excitation is obtained by using this method. The solution is proved validated by comparison with the results from digital simulation and those from experiment. Finally, the solutions for the Rayleigh and Erdamnn model are also given.

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