Scaling behavior for the pressure and energy of shearing fluids.
Scaling behavior for the pressure and energy of shearing fluids.
复制标题
剪切流体的压力和能量的缩放行为。
DOI：
10.1103/physreve.67.061201
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
R. Sadus
中科院分区：
文献类型：
--
作者：
J. Ge;B. D. Todd;Guangwen Wu;R. Sadus
最近的模拟工作已经建立了广泛接受的模式耦合理论，用于剪切下简单流体的压力和能量的应变率依赖性（即，能量和压力是应变率的3 / 2次方的函数）。远离三相点，应变速率的标度指数被认为是更接近2比3 / 2，这表明一个可能的分析行为。本文精确地确定了Lennard-Jones流体在稠密流体区的标度指数行为，发现它作为密度和温度的函数在约1.2和约2之间连续变化，从而证实了它的非解析性。我们进一步发现，该行为的特点是由一个简单的线性函数的密度和温度。
Recent simulation work has established that the widely accepted mode-coupling theory for the strain rate dependence of the pressure and energy of simple fluids under shear (i.e., energy and pressure are functions of strain rate to the power 3 / 2) is observed in the vicinity of the triple point. Away from the triple point, the scaling exponent of the strain rate was seen to be closer to 2 than 3 / 2, suggesting a possible analytic behavior. In this paper, we accurately determine the scaling exponent behavior for a Lennard-Jones fluid in the dense fliud region and find that it varies continuously between approximately 1.2 and approximately 2 as a function of density and temperature, thus confirming its nonanalyticity. We furthermore find that the behavior is characterized by a simple linear function of density and temperature.