Exploring clogging of interacting particles with hydrodynamic memory in a corrugated channel: A promising sensor of non-Brownian diffusion

Particle transport is a fundamental aspect of various systems, from artificial to biological. A common assumption is that particle motion follows Markovian (memoryless) processes in the absence of interaction between particles. However, hydrodynamic memory and the interaction between particles are ubiquitous, leaving many fundamental questions unanswered regarding transport of interacting particles involving hydrodynamic drag in corrugated channels, as described by the fractional Langevin equation. This study examines the hydrodynamic transport of interacting non-Brownian particles moving within a corrugated channel. We propose a method that relies on factors such as temperature, the driving force to alternate between no transport and finite net transport. Of importance is to note that the absence of transport results from the clogging, while the transport consists of collective motion and independent motion. The transport systems investigated in this work suggest the potential for sensor functionality within the system. Our findings may prove valuable for exploring the transport with hydrodynamic memory in various fields, including biology, physics, and chemistry.