The Influence of Nonlinear Damping on the Transport Properties of Brownian Particles

This paper studies the directed transport of Brownian particles in a flashing ratchet under a nonlinear damping environment. The research shows that the nonlinear relationship between the damping term and velocity can transform the system from a passive energy dissipation mode to a nonequilibrium process of actively acquiring energy from the environment. This study not only reveals the complex interaction mechanism between nonlinear damping and system energy dissipation but also breaks the limitations of linear theory in describing nonequilibrium energy conversion. It provides a new theoretical perspective for in-depth understanding of the dynamic behavior of micro-nonequilibrium systems, and has important theoretical significance and application value.