Energy exchanges in a damped Langevin-like system with two thermal baths and an athermal reservoir

Abstract We study a Langevin-like model which describes an inertial particle in one-dimensional harmonic potential and subjected to two heat baths one athermal environment. The thermal noises are white Gaussian, the temperatures of reservoirs different. medium act through external non-Gaussian noise Poisson type. calculate exactly time-dependent cumulant-generating function position velocity particle, as well expression this generating for stationary states. discuss long-time behavior first cumulants energy injected by reservoir exchanged with baths. In particular, we find that covariance stochastic due distinct exhibits complex dependence on properties noise.