“…In natural systems, however, the environment may be heterogeneous and fluctuating, and the particle parameters can change over time. 1,2,52,[56][57][58][59]65,[88][89][90] To summarize, in the framework of the two-dimensional active Langevin particle model, we have presented general analytical equations that describe the mean kinetic energy, mean-square displacement (mass-transfer function) and noise-averaged trajectory of the self-propelled particle with any moment of inertia and rotational diffusivity in a medium with any dynamic viscosity. This study fills a gap in the theory of active Brownian motion in the field where rotational inertia significantly affects the random walk of active particles on all time scales.…”