胶体铁磁流体中流体动力学相互作用的格子Boltzmann研究
Hydrodynamic interactions in colloidal ferrofluids: A lattice Boltzmann study
摘要：
我们使用格子玻尔兹曼模拟，结合埃瓦尔德求和方法，研究偶极粒子，如铁磁流体的胶体悬浮液中的流体动力学相互作用的作用。我们的工作地址的体积分数$ϕ$高达0.20和无量纲偶极相互作用参数$λ$高达8。我们比较定量与布朗动力学模拟，其中多体流体动力学相互作用是缺席。蒙特卡罗数据也被用来检查与晶格玻尔兹曼技术测量的静态性能的准确性。在平衡状态下，流体动力相互作用使中间散射函数$S(q,t)$的长时间和短时间衰减都减慢，对于接近静态结构因子$S(q)$峰值的波矢，减慢大约2倍。长时间的减慢是减少在高的相互作用强度，而短时间的减慢（通过流体动力学因子$H(q)$量化）的偶极相互作用的影响较小，尽管它们的强烈影响对分布函数所产生的团簇形成。团簇形成也研究了瞬态数据淬火后，从$λ= 0$ ;流体动力学相互作用减慢形成速率，再次约2倍。
英文摘要：
We use lattice Boltzmann simulations, in conjunction with Ewald summation methods, to investigate the role of hydrodynamic interactions in colloidal suspensions of dipolar particles, such as ferrofluids. Our work addresses volume fractions $ϕ$ of up to 0.20 and dimensionless dipolar interaction parameters $λ$ of up to 8. We compare quantitatively with Brownian dynamics simulations, in which many-body hydrodynamic interactions are absent. Monte Carlo data are also used to check the accuracy of static properties measured with the lattice Boltzmann technique. At equilibrium, hydrodynamic interactions slow down both the long-time and the short-time decays of the intermediate scattering function $S(q,t)$, for wavevectors close to the peak of the static structure factor $S(q)$, by a factor of roughly two. The long-time slowing is diminished at high interaction strengths whereas the short-time slowing (quantified via the hydrodynamic factor $H(q)$) is less affected by the dipolar interactions, despite their strong effect on the pair distribution function arising from cluster formation. Cluster formation is also studied in transient data following a quench from $λ= 0$; hydrodynamic interactions slow the formation rate, again by a factor of roughly two.
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