论文标题
颗粒间棘轮效应决定了隔离的异质颗粒的全局电流
Inter-particle ratchet effect determines global current of heterogeneous particles diffusing in confinement
论文作者
论文摘要
在$ n $体积排除球体的模型中,我们考虑了粒子在漂移速度,扩散性和尺寸的粒子之间的差异如何影响稳态分布和轴向粒子电流。我们表明,当几何约束阻止任何粒子超过彼此时,该模型是可以解决的 - 我们将Quasi-neci-dimensionalition术语计算。然后,由于棘轮效应,电流偏向于最小扩散颗粒的速度。我们在一个维度上考虑了该模型的特殊情况,并在被动浴中得出了驱动示踪剂的确切关节间隙分布。我们描述了相位空间结构和不可逆漂移之间的关系,这使得Quasi One维假设键关键是该模型的溶解度。
In a model of $N$ volume-excluding spheres in a $d$-dimensional tube, we consider how differences between particles in their drift velocities, diffusivities, and sizes influence the steady state distribution and axial particle current. We show that the model is exactly solvable when the geometrical constraints prevent any particle from overtaking every other -- a notion we term quasi-one-dimensionality. Then, due to a ratchet effect, the current is biased towards the velocities of the least diffusive particles. We consider special cases of this model in one dimension, and derive the exact joint gap distribution for driven tracers in a passive bath. We describe the relationship between phase space structure and irreversible drift that makes the quasi-one-dimensional supposition key to the model's solvability.