The entropy production of Ornstein–Uhlenbeck active particles: a path integral method for correlations

@article{Caprini2019TheEP,
  title={The entropy production of Ornstein–Uhlenbeck active particles: a path integral method for correlations},
  author={Lorenzo Caprini and Umberto Marini Bettolo Marconi and Andrea Puglisi and Angelo Vulpiani},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
  year={2019}
}
By employing a path integral formulation, we obtain the entropy production rate for a system of active Ornstein-Uhlenbeck particles (AOUP) both in the presence and in the absence of thermal noise. The present treatment clarifies some contraddictions concerning the definition of the entropy production rate in the AOUP model, recently appeared in the literature. We derive explicit formulas for three different cases: overdamped Brownian particle, AOUP with and without thermal noise. In addition… 
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