Time-Periodically Driven Brownian Motion of Rigid Rod in one dimensional space

In this paper we discuss a simple theoretical approach, taken from the theory of stochastic processes to understand the basic phenomenology of protein translocation through a flickering pore. In this theoretical approach we investigate the dynamics of Brownian particle driven by a periodically driving force. This toy model is further extended by considering the Langevin equation with constants drift and time dependent variance. Using the first passage time theory we derived the formalism for probability density function to comprehend the translocation process occurring in the presence of fluctuating environment.