12/27 2023 Seminar
- Title题目 In biased and soft-walled channels: Insights into transport phenomena and damped modulation
- Speaker报告人 范文月（北京师范大学）
- Date日期 2023年12月27日 10:00-11:30
- Venue地点 南楼6520
The motion of a particle along a channel of finite width is known to be affected by either the presence of energy barriers or the changes of the bias forces along the channel direction. By using the lateral equilibrium hypothesis, We have successfully derived the effective diffusion coefficient for soft-walled channels, and the coefficient is found to be influenced by the curvature profile of the potential. A typical phenomenon of the diffusion enhancement is observed under the appropriate parameter conditions. We first discovered an anomalous phenomenon of quasi-periodic enhancement of oscillations, which cannot be captured by the one-dimensional effective potential, under the combination sub-Ohmic damping with two-dimensional restricted channels. We innovatively develop the effective potential and the formation mechanism of velocity variance under super-Ohmic and ballistic damping, and meanwhile the ergodicity is of concern. The theoretical framework of a ballistic system can be reinterpreted through the folding acceleration theory. This comprehensive analysis significantly enhances our understanding of diffusion processes in constrained geometries.