悬浮棒的沉降:连续二维问题的蒙特卡罗模拟
Sedimentation of a suspension of rods: Monte Carlo simulation of a continuous two-dimensional problem
摘要:
采用动力学蒙特卡罗(MC)模拟方法研究了二维含杆悬浮液的沉降过程。考虑了具有连续位置和方向自由度的非格点模型。沉降前的初始状态是使用随机顺序吸附模型产生的。在这种沉降过程中,杆经历平移和旋转布朗运动。MC模拟在不同的初始数密度(每单位面积的杆数)$ρ_i$和沉降速率$u$下运行。对于沉积物膜,棒的空间分布,序参量和电导率进行了检查。不同类型的沉积驱动的自组装和电导率的各向异性揭示了内部的沉积膜。该各向异性可通过改变$ρ_i$和$u$的值来精细地调节。
英文摘要:
The sedimentation of a two dimensional suspension containing rods was studied by means of kinetic Monte Carlo (MC) simulations. An off-lattice model with continuous positional and orientational degrees of freedom was considered. The initial state before sedimentation was produced using a model of random sequential adsorption. During such sedimentation, the rods undergo translational and rotational Brownian motions. The MC simulations were run at different initial number densities (the numbers of rods per unit area), $ρ_i$, and sedimentation rates, $u$. For sediment films, the spatial distributions of the rods, the order parameters and the electrical conductivities were examined. Different types of sedimentation-driven self-assembly and anisotropy of the electrical conductivity were revealed inside the sediment films. This anisotropy can be finely regulated by changes in the values of $ρ_i$ and $u$.
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