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arXiv 1808.04769cond-mat.soft
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中性微凝胶的连接弹性和有效相互作用:赫兹模型的有效性

Connecting elasticity and effective interactions of neutral microgels: the validity of the Hertzian model

Lorenzo Rovigatti, Nicoletta Gnan, Andrea Ninarello, Emanuela Zaccarelli

摘要:

在材料科学中一个重要的开放性问题是单颗粒弹性性质和宏观体行为之间是否存在直接联系。在这里,我们解决这个问题,专注于原型的软胶体:温敏微凝胶。这些胶体大小的聚合物网络通常被假设通过简单的赫兹势相互作用,这是线性弹性理论中的经典模型。通过开发一种适当的方法,可以推广到任何种类的软颗粒,我们能够计算所有的弹性模量的非离子微凝胶跨越其体积相变(VPT)。值得注意的是,我们重现了实验中看到的许多功能,包括最小的泊松比接近VPT的外观。通过计算粒子-粒子有效相互作用和由此产生的集体行为,我们发现赫兹模型的工作以及中等值的包装分数。

英文摘要:

An important open problem in materials science is whether a direct connection exists between single-particle elastic properties and the macroscopic bulk behavior. Here we address this question by focusing on the archetype of soft colloids: thermoresponsive microgels. These colloidal-sized polymer networks are often assumed to interact through a simple Hertzian potential, a classic model in linear elasticity theory. By developing an appropriate methodology, that can be generalized to any kind of soft particle, we are able to calculate all the elastic moduli of non-ionic microgels across their volume phase transition (VPT). Remarkably, we reproduce many features seen in experiments, including the appearance of a minimum of the Poisson's ratio close to the VPT. By calculating the particle-particle effective interactions and the resulting collective behavior, we find that the Hertzian model works well up to moderate values of the packing fraction.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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