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摘要翻译：
本文将新近提出的连续速度流体力学粒子模型推广到非互溶二元混合物的模型中。两组分之间的排除体积相互作用用随机多粒子碰撞模型来模拟，这依赖于局域速度和密度。动量和能量在局部守恒，高碰撞率时发生熵驱动相分离。导出了状态方程的显式表达式，并证明了体积自由能浓度依赖关系与Widom-Rowlinson模型相同。相图的解析结果与模拟结果吻合良好。由液滴毛细管波谱分析得到的线张力结果与基于拉普拉斯方程的测量结果一致。“两亲性”二聚体的引入使三元表面活性剂混合物的相行为和动力学模型成为可能。
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英文标题：
《Mesoscopic model for the fluctuating hydrodynamics of binary and ternary
mixtures》
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作者：
Erkan Tuzel, Guoai Pan, Thomas Ihle and Daniel M. Kroll
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Soft Condensed Matter 软凝聚态物质
分类描述：Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜，聚合物，液晶，玻璃，胶体，颗粒物质
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一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
A recently introduced particle-based model for fluid dynamics with continuous velocities is generalized to model immiscible binary mixtures. Excluded volume interactions between the two components are modeled by stochastic multiparticle collisions which depend on the local velocities and densities. Momentum and energy are conserved locally, and entropically driven phase separation occurs for high collision rates. An explicit expression for the equation of state is derived, and the concentration dependence of the bulk free energy is shown to be the same as that of the Widom-Rowlinson model. Analytic results for the phase diagram are in excellent agreement with simulation data. Results for the line tension obtained from the analysis of the capillary wave spectrum of a droplet agree with measurements based on the Laplace's equation. The introduction of "amphiphilic" dimers makes it possible to model the phase behavior and dynamics of ternary surfactant mixtures.
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PDF链接：
https://arxiv.org/pdf/707.2774
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