Slow Diffusion in Active Bath: Theoretical Description of the Activity-induced Energy Landscape

Active motions giving rise to non-equilibrium fluctuations are ubiquitous in biological cells. In the dilute active systems, the dynamics of the active system can be mapped to an effective equilibrium by defining an active temperature. This active temperature is usually higher than the ambient temperature and hence, the mean escape of time of the active particle decreases with increasing the activity. However, in dense active environment like biological cells, the scenario will be completely different. In this context, we have studied a prototype model for diffusion in an activity-induced rugged energy landscape to describe the dynamics of a tagged particle in a dense active environment. In the low activity limit, we have found that the mean escape time increases with increasing the activity. Hence, the dynamics of the tagged particle will be slowed down with increasing the activity and this is completely different than what we have seen in the effective equilibrium approach. The activity-induced rugged energy landscape approach to describe the slow dynamics is valid for small activity and high persistence time limit.<gdiv></gdiv><gdiv></gdiv>