Solid-electrolyte-inspired totally asymmetric simple exclusion process with parallel channels and random defects

We propose a simplified probabilistic model to investigate the fundamental physics of particle transport in parallel channels having bypasses and defects, mimicking the distinctive pathways found in a class of solid-electrolyte materials. Our results reveal that increases in the bypass interval and the number of defects induce significant macroscopic density fluctuations, substantially reducing overall flow rates. Notably, we find that the particle flow rate decreases exponentially with the product of bypass interval and defect probability. The decay exponent was dependent on the particle density, which reflects the nonlinear effects of particle congestion. Our findings may suggest that the presence of more bypass sites and fewer defects in the pathways has a significant impact on the performance of electrolyte materials.