无边界约束：圆柱表面的各向异性扩散
Confinement without boundaries: Anisotropic diffusion on the surface of a cylinder
摘要：
在生物和微流体系统中经常遇到弯曲几何形状的热粒子的密集堆积系统。在2D系统中，在足够高的表面覆盖率下，扩散运动被广泛认为受到物理限制的强烈影响，例如，在墙旁边在这封信中，我们探讨了限制的形状，而不是刚性的边界，对粒子的扩散，将它们限制在一个圆柱体的表面。我们发现，横向扩散的大小和方向性的强烈影响的圆柱体的半径。在圆柱体的纵向和周向方向上的扩散之间的各向异性发展。我们证明，这种效果的起源在于这样一个事实，即螺旋状包装的单和oligodisperse光盘上的圆柱体的表面上诱导优先集体运动在圆周方向上，但也表明，即使在多分散系统缺乏这样的顺序的内在有限尺寸限制效应增加在圆周方向上的扩散。
英文摘要：
Densely packed systems of thermal particles in curved geometries are frequently encountered in biological and microfluidic systems. In 2D systems, at sufficiently high surface coverage, diffusive motion is widely known to be strongly affected by physical confinement, e.g., by the walls. In this Letter, we explore the effects of confinement by shape, not rigid boundaries, on the diffusion of particles by confining them to the surface of a cylinder. We find that both the magnitude and the directionality of lateral diffusion is strongly influenced by the radius of the cylinder. An anisotropy between diffusion in the longitudinal and circumferential direction of the cylinder develops. We demonstrate that the origin of this effect lies in the fact that screw-like packings of mono- and oligodisperse discs on the surface of a cylinder induce preferential collective motions in the circumferential direction, but also show that even in polydisperse systems lacking such order an intrinsic finite size confinement effect increases diffusivity in the circumferential direction.
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