THEORETICAL STUDIES ON ELASTICITY OF MICROEMULSIONS

微乳、囊泡和细胞膜具有自组装功能 由表面活性物质分子构成的墙体结构。对…的理解 它们的弹性特性对于 对一些生命过程和病理疾病的认识 微观层面。然而，弹性性能远远不是 以一种基本的方式被完全理解。其中包括 系统中，微乳液的结构最简单， 因此，都是理想的研究对象。有关的弹性信息 微乳状液将对表征 为单元格结构设置动画。微乳液的弹性可以 通过对它们的电光测量进行推断 双管齐下。光学双振子的克尔系数 (水/AOT/油)系统已在 费耶特维尔州立大学。实验数据表明，phi2- 缩放行为。现有的任何理论都不能很好地解释这些 数据集合在一起。看起来相关的理论将不得不 在电场存在的情况下结合多液滴关联。 我们将：(1)使用二聚体模型来拟合实验数据和 探索高对准的来源；(2)重新考虑基于数据的 关于多液滴团簇的结构；(3)使用统计 耗尽力理论与蒙特卡罗模拟的探索 微乳液中团簇的形成。首席调查员 将与前者的马修·爱德华兹博士密切合作 斯佩尔曼学院同一子项目的实验者收到 从他那里得到进一步的实验数据，并向他提出建议 为将来的实验做准备。对于这个子项目，与弹性有关 在微乳剂中，学员将参与所有 研究活动的各个方面，包括计算机编程， 并对数据进行拟合。他们还将帮助准备和展示 结果出现在论文和演讲中。

Microemulsions, vesicles and cell membranes have self-assembling wall structures made of surfactant molecules. The understanding of their elastic properties is particularly important for the understanding of some life processes and pathological diseases on the microscopic level. However, the elastic property is far from being completely understood in a fundamental way. Among these systems, microemulsions are the simplest in structure, and therefore, are ideal for research. The elastic information about microemulsions will have profound implications for characterizing animate cell structures. The elastic property of microemulsions can be inferred through the measurements of their Electro-Optical Bifringence. The Kerr coefficients of the optical bifringence of the (water/AOT/oil) system have been extensively measured at Fayetteville State University. The experimental data show a phi2 - scaling behavior. No existing theory could properly explain these data collectively. It appears that a relevant theory will have to incorporate many-droplet correlation in presence of an electric field. We will: (1) use a dimer model to fit the experimental data and explore the origin of high alignment; (2) reconsider the data based on the structure of multiple-droplet clusters; (3) use the statistical theory of depletion force and Monte Carlo simulation to explore cluster formation in microemulsions. The principal investigator will closely collaborate with Dr. Matthew Edwards, the former experimentalist in the same subproject, at Spelman College, receive further experimental data from him and make suggestions to him for future experiments. For this subproject, pertaining to elasticity of microemulsions, the student trainees will be involved in all aspects of the research activities, including computer programming, and fitting the data. They will also help to prepare and present the results in papers and talks.