Numerical and Analytical Transport of Brownian Particles in Corrugated Deformable Channels: Current Fluctuations and Rectification Efficiency

In this work, we study the rectification and optimization of the transport of Brownian particles in deformable channels, both numerically and analytically. It should be noted that particle transport via channels encompasses a wide range of phenomena, such as osmosis and the passage of ions through ionic channels, particle separation, modeling the movement of dilute mixtures of microscopic particles, and so on. Throughout all of this, the volume of the point particles moving through the channel is determined by the geometry of the latter. To ensure the confinement of particles during their displacement in a deformable channel, we applied the reflection condition. The Remoissenet-Peyrad deformable potential generates a novel appealing and simple deformable channel with a shape parameter r. As such, we may change the geometry of the potential well and the potential barrier, which can be thin or wide, as well as the depth, height, and opening of the channels entrance. Characteristics that affect the systems efficiency. In the absence of an external force, the particles move due to thermal agitation and eventually achieve a condition of equilibrium where they are virtually uniformly distributed in the channels cells. They move faster or less swiftly in the presence of external forces, depending on the strength and direction of the force, as well as their mass and thermal agitation. Moreover, it appears to have a symmetry related to the shape of the channel for nonlinear mobility, effective diffusion coefficient, and efficiency of rectification.