论文标题

粒子簇中的聚集和分解过程:竞争的简单数值和理论见解

Aggregation and disaggregation processes in clusters of particles: simple numerical and theoretical insights of the competition in 2D geometries

论文作者

Bouthier, Louis-Vincent, Castellani, Romain, Manneville, Sébastien, Poulesquen, Arnaud, Valette, Rudy, Hachem, Elie

论文摘要

从数值和理论的角度研究了有吸引力颗粒的聚集和分解。 COUETTE和POISEUILLE的二维分子动力学模拟突出了平均稳态簇大小作为粘附数的功率定律的增长,这是一个无尺度的数字,可以量化吸引力与剪切应力的比率。如文献中已经报道的那样,这种幂律缩放是由于聚集和分解过程之间的竞争而产生的。在这里,我们通过基于能量函数的模型合理化了这种行为,该模型最小化以群集分形维度产生了幂律指数,与当前的模拟和以前的工作非常吻合。

Aggregation and disaggregation of clusters of attractive particles under flow are studied from numerical and theoretical points of view. Two-dimensional molecular dynamics simulations of both Couette and Poiseuille flows highlight the growth of the average steady-state cluster size as a power law of the adhesion number, a dimensionless number that quantifies the ratio of attractive forces to shear stress. Such a power-law scaling results from the competition between aggregation and disaggregation processes, as already reported in the literature. Here, we rationalize this behavior through a model based on an energy function, which minimization yields the power-law exponent in terms of the cluster fractal dimension, in good agreement with the present simulations and with previous works.

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