A ternary lattice Boltzmann model for amphiphilic fluids
A ternary lattice Boltzmann model for amphiphilic fluids
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DOI：
10.1098/rspa.2000.0601
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发表时间：
1999-10
期刊：
影响因子：
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通讯作者：
Hudong Chen;B. Boghosian;P. Coveney;M. Nekovee
中科院分区：
文献类型：
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作者：
Hudong Chen;B. Boghosian;P. Coveney;M. Nekovee
提出了两亲流体动力学的格子玻尔兹曼模型。它是一个三元模型，在三个方面与现有模型不同：首先，它采用三个阶参数，因为它分别为存在的每种化学物质（水、油、两亲物）保存质量。其次，它保持了两亲物种的矢量值方向自由度。第三，它通过在粒子之间引入自洽力来模拟微观层面的流体相互作用，而不是通过设定朗道自由能泛函。这种特性的组合满足了目前可用于两亲流体动力学的模型层次结构的重要需求，从而实现了高效的计算机模拟并提供了新的理论见解。给出了从该模型获得的几个计算结果，并与现有的晶格-气体模型结果进行了比较。特别值得注意的是，在具有动力学波动的二维系统中，层状结构被 Peierls 不稳定性所排除，在晶格-气体模型中没有观察到，但在相应的晶格玻尔兹曼模型中很容易发现。这指出了每种类型模型可访问的现象学的显着差异。
A lattice Boltzmann model for amphiphilic fluid dynamics is presented. It is a ternary model that is distinguished from prior models in three respects: first, it employs three order parameters, in that it conserves mass separately for each chemical species present (water, oil, amphiphile). Second, it maintains a vector–valued orientational degree of freedom for the amphiphilic species. Third, it models fluid interactions at the microscopic level by introducing self–consistent forces between the particles, rather than by positing a Landau free energy functional. This combination of characteristics fills an important need in the hierarchy of models currently available for amphiphilic fluid dynamics, enabling efficient computer simulation and furnishing new theoretical insight. Several computational results obtained from this model are presented and compared with existing lattice–gas model results. In particular, it is noted that lamellar structures, which are precluded by the Peierls instability in two–dimensional systems with kinetic fluctuations, are not observed in lattice–gas models, but are easily found in the corresponding lattice Boltzmann models. This points out a striking difference in the phenomenology accessible to each type of model.