Work fluctuations in the active Ornstein–Uhlenbeck particle model

Abstract We study the large deviations of power injected by active force for an Ornstein–Uhlenbeck particle (AOUP), free or in a confining potential. For free-particle case, we compute rate function analytically d -dimensions from saddle-point expansion, and numerically two dimensions (a) direct sampling work numerical solutions AOUP equations (b) Legendre–Fenchel transform scaled cumulant generating obtained via cloning algorithm. The presents asymptotically linear branches on both sides it is independent system’s dimensionality, apart multiplicative factor. potential focus two-dimensional systems obtain using methods (b). find different scenario harmonic anharmonic potentials: former phenomenology fluctuations analogous to that particle, but might be non-analytic; latter case functions are analytic, realised entirely means, which rely strongly particle-potential interaction. Finally, check validity fluctuation relation distribution. In satisfied with slope proportional bath temperature. same found potential, regardless activity, low activity. high instead, equal effective temperature fluctuation–dissipation theorem.