The trajectory of bio-carriers in periodic energy landscape regulated by the multiple collision history in a magnetophoretic system

Analysis of changes in particle trajectories due to collision is essential to understanding the physical information such as energy or mass exchange during collisions between particles. Most of the research has studied particles with initial energies in a relatively uniform or gradient static energy landscape. However, compared to the particle collisions of a static energy landscape, the movement becomes more diverse in a complex magnetic energy landscape. We designed micro-magnet arrays to create complex energy landscapes with temporal and spatial periodicity. Magnetic particles draw distinctly different trajectories in this magnetophoretic system depending on the coupling number. When the particles collide with each other, an immediate shift to a classified trajectory was confirmed according to the collision type. This study analyzes the particle trajectory shift that includes various information. Therefore, we inversely calculate the coupling history, such as the coupling number, time, and order due to collision. This investigation represents a unique analysis of the dynamics change of particles within a complex magnetic energy landscape.