论文标题
将狭窄通道映射到一维的扩散率
Mapping diffusivity of narrow channels into one-dimension
论文作者
论文摘要
被困在长狭窄通道中的颗粒的扩散主要发生在一个维度上。在这里,分子动力学模拟用于研究二维硬盘的惯性动力学,局限于长,狭窄,无结构的通道,并在无通用的方向上具有硬壁。我们表明,从平方平方位移获得的扩散系数可以映射到确切的结果上,以通过从状态方程或粒子相互作用直径的状态方程或几何投影获得的有效占用体积分数扩散的确切结果。
The diffusion of particles trapped in long narrow channels occurs predominantly in one dimension. Here, molecular dynamics simulation is used to study the inertial dynamics of two-dimensional hard disks, confined to long, narrow, structureless channels with hard walls in the no-passing regime. We show that the diffusion coefficient obtained from the mean squared displacement can be mapped onto the exact results for the diffusion of the strictly one-dimensional hard rod system through an effective occupied volume fraction obtained from either the equation of state or a geometric projection of the particle interaction diameters.