Transport reversal of microparticles in an inertial rocking ratchet driven by colored tempered Lévy fluctuations and nonlinear friction

Directed transport of microparticles in asymmetric periodic landscapes is strongly shaped by stochastic forcing in microfluidic settings. This study investigates an inertial rocking ratchet with nonlinear friction driven by colored tempered Lévy fluctuations represented by a Lévy-Ornstein-Uhlenbeck process. We formulate the nondimensional stochastic dynamics, define current, effective diffusion, and Péclet number, and perform parameter scans for stability index, tempering strength, correlation time, and noise scale. The results reveal robust current reversal without modifying the ratchet geometry. Reversal occurs within restricted regimes where intermittent jumps, finite memory, and nonlinear damping jointly redistribute trajectories among competing transport channels. Strong tempering suppresses dispersion and can improve coherence, but optimal reversal and coherent transport occur in different parameter regions. Reliability checks confirm that current signs remain statistically stable under time-step and ensemble-size variations.