Non-linear Brownian motion: the problem of obtaining the thermal Langevin equation for a non-Gaussian bath

@article{Dubkov2009NonlinearBM,
  title={Non-linear Brownian motion: the problem of obtaining the thermal Langevin equation for a non-Gaussian bath},
  author={A. Dubkov and P. H{\"a}nggi and I. Goychuk},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
  year={2009},
  volume={2009},
  pages={01034}
}
The non-linear dissipation corresponding to a non-Gaussian thermal bath is introduced together with a multiplicative white noise source in the phenomenological Langevin description for the velocity of a particle moving in some potential landscape. Deriving the closed Kolmogorov's equation for the joint probability distribution of the particle displacement and its velocity by use of functional methods and taking into account the well-known Gibbs form of the thermal equilibrium distribution and… Expand
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