Effect of non-equilibrium fluctuations in transport and escape problems [HBNI Th286] 

Abstract

This thesis was broadly divided into two parts. The first part was dedicated to the formulation of the Arrhenius law for interacting diffusive systems, along with an analysis of its inference properties. The second part examined the role of finite intermediate barriers in accelerating the barrier-crossing dynamics of a single Brownian particle. In what follows, we summarize the central results arising from this thesis and outline potential directions for future research.