论文标题

Lennard-Jones液体粘度的微观起源

Microscopic origins of the viscosity of a Lennard-Jones liquid

论文作者

Rizk, Farid, Gelin, Simon, Biance, Anne-Laure, Joly, Laurent

论文摘要

与晶体固体或理想气体不同,从微观的角度看,液体中的传输特性仍然难以描述,其动力学是由原子尺度上复杂的能量和熵贡献引起的。通常提出了两种情况:一种代表流体中的动力学作为一系列能量屏障交叉,导致类似Arrhenius的定律,而另一个则假设原子通过碰撞重新排列本身,例如自由体积模型的例子。为了评估这两种观点的有效性,我们使用分子动力学模拟,Lennard-Jones流体的传输特性进行了计算,并测试了Arrhenius方程的程度和自由体积模型描述了粘度和固定压力下扩散系数的温度依赖性。尽管这两种模型均在覆盖Lennard-Jones流体的液体和超临界状态的广泛压力和温度上重现了仿真结果,但我们发现自由体积模型的参数可以直接从局部结构参数估算,也可以在模拟中获得。结果的这种一致性为液体中运输特性的自由体积描述提供了更大的可信度。

Unlike crystalline solids or ideal gases, transport properties remain difficult to describe from a microscopic point of view in liquids, whose dynamics result from complex energetic and entropic contributions at the atomic scale. Two scenarios are generally proposed: one represents the dynamics in a fluid as a series of energy barrier crossings, leading to Arrhenius-like laws, while the other assumes that atoms rearrange themselves by collisions, as exemplified by the free volume model. To assess the validity of these two views, we computed, using molecular dynamics simulations, the transport properties of the Lennard-Jones fluid and tested to what extent the Arrhenius equation and the free volume model describe the temperature dependence of the viscosity and of the diffusion coefficient at fixed pressure. Although both models reproduce the simulation results over a wide range of pressure and temperature covering the liquid and supercritical states of the Lennard-Jones fluid, we found that the parameters of the free volume model can be estimated directly from local structural parameters, also obtained in the simulations. This consistency of the results gives more credibility to the free volume description of transport properties in liquids.

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