Self-propulsion and crossing statistics under random initial conditions.

@article{Hubert2017SelfpropulsionAC,
  title={Self-propulsion and crossing statistics under random initial conditions.},
  author={Maxime Hubert and Matthieu Labousse and St{\'e}phane Perrard},
  journal={Physical review. E},
  year={2017},
  volume={95 6-1},
  pages={
          062607
        }
}
We investigate the crossing of an energy barrier by a self-propelled particle described by a Rayleigh friction term. We reveal the existence of a sharp transition in the external force field whereby the amplitude dramatically increases. This corresponds to a saddle point transition in the velocity flow phase space, as would be expected for any type of repulsive force field. We use this approach to rationalize the results obtained by Eddi et al. [Phys. Rev. Lett. 102, 240401 (2009)PRLTAO0031… 

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