First passage time distribution of active thermal particles in potentials

@article{Walter2020FirstPT,
  title={First passage time distribution of active thermal particles in potentials},
  author={Benjamin Walter and Gunnar Pruessner and Guillaume Salbreux},
  journal={arXiv: Statistical Mechanics},
  year={2020}
}
We introduce a perturbative method to calculate all moments of the first-passage time distribution in stochastic one-dimensional processes which are subject to both white and coloured noise. This class of non-Markovian processes is at the centre of the study of thermal active matter, that is self-propelled particles subject to diffusion. The perturbation theory about the Markov process considers the effect of self-propulsion to be small compared to that of thermal fluctuations. To illustrate… 
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