A Brownian particle in a confined space with varying cross-section, experiences an effective entropic potential in reduced dimension. We modulate the shape of the confinement and examine the nature of dynamical transition between two distinct thermalized entropic states corresponding to different shapes of the enclosure, using Jarzynski relation on the basis of work-distribution over non-equilibrium paths. Our analysis reveals that modulating the shape of the boundaries of the enclosure makes the resident Brownian particles feel an entropic phase transition.
