Diffusion of interacting Brownian particles: Jamming and anomalous diffusion.
Diffusion of interacting Brownian particles: Jamming and anomalous diffusion.
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DOI：
10.1103/physreve.74.021119
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发表时间：
2006-08
期刊：
影响因子：
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通讯作者：
S. Savel’ev;F. Marchesoni;A. Taloni;F. Nori
中科院分区：
文献类型：
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作者：
S. Savel’ev;F. Marchesoni;A. Taloni;F. Nori
用数值方法和解析方法研究了约束在准一维圆环上的相互作用粒子的自由自扩散。粒子间的成对相互作用可以是吸引的或排斥的，并且反对两个粒子一个经过另一个的热跳跃的能垒是有限的。因此，对于足够长的时间，自扩散变成正常或常规扩散。然而，取决于颗粒密度，观察到指数为12的亚扩散瞬变和正常扩散的抑制。在一定的密度阈值之上，吸引粒子的扩散系数突然下降到零，表明过渡到堵塞阶段。此外，吸引粒子的高斯簇通过尺寸收缩而凝聚，密度大于这样的密度阈值;较低密度的簇通过扩散机制扩散，不管相互作用的符号如何，在短时间内是异常的，并且在足够长的时间内是正常的。这些效应可以在具有胶体粒子、涡旋、电子以及其他相互作用的粒子系统的系统中观察到。
The free self-diffusion of an assembly of interacting particles confined on a quasi-one-dimensional ring is investigated both numerically and analytically. The interparticle pairwise interaction can be either attractive or repulsive and the energy barrier opposing thermal hopping of two particles one past the other is finite. Thus, for sufficiently long times, self-diffusion becomes normal or conventional diffusion. However, depending on the particle density, subdiffusive transients with exponent 12 and suppression of normal diffusion are observed. Above a certain density threshold, a sudden drop to zero of the diffusion coefficient for attractive particles signals the transition to a jammed phase. Furthermore, a Gaussian cluster of attractive particles condenses, by shrinking in size, for densities larger than such density threshold; lower density clusters spread out, regardless of the interaction sign, through a diffusion mechanism that is anomalous at short times, and normal for sufficiently long times. These effects could be observed in systems with colloidal particles, vortices, electrons, among other interacting particle systems.