Idema T, van Leeuwen J M J, Storm C
Instituut-Lorentz for Theoretical Physics, Leiden Institute of Physics, Leiden University, PO Box 9506, 2300 RA Leiden, The Netherlands.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Oct;80(4 Pt 1):041924. doi: 10.1103/PhysRevE.80.041924. Epub 2009 Oct 23.
The ternary system consisting of cholesterol, a saturated lipid, and an unsaturated one exhibits a rich phase behavior with multiple phase coexistence regimes. Remarkably, phase separation even occurs when each of the three binary systems consisting of two of these components is a uniform mixture. We use a Flory-Huggins like model in which the phase separation of the ternary system is a consequence of an interaction between all three components to describe the system. From the associated Gibbs free energy we calculate phase diagrams, spinodals, and critical points. Moreover, we use a Van der Waals/Cahn-Hilliard like construction to derive an expression for the line tension between coexisting phases. We show how the line tension depends on the position in the phase diagram, and give an explicit expression for the concentration profile at the phase boundary.
由胆固醇、一种饱和脂质和一种不饱和脂质组成的三元体系呈现出丰富的相行为，具有多个相共存区域。值得注意的是，即使由这些组分中的两种组成的三个二元体系中的每一个都是均匀混合物，相分离仍会发生。我们使用一种类似弗洛里 - 哈金斯的模型来描述该体系，在这个模型中，三元体系的相分离是所有三种组分之间相互作用的结果。从相关的吉布斯自由能出发，我们计算相图、旋节线和临界点。此外，我们使用一种类似范德瓦尔斯/卡恩 - 希利厄德的构造来推导共存相之间线张力的表达式。我们展示了线张力如何依赖于相图中的位置，并给出了相边界处浓度分布的显式表达式。
