Casimir forces in binary liquid mixtures

Casimir forces in binary liquid mixtures
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二元液体混合物中的卡西米尔力

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发表时间:
1997
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通讯作者:
M. Krech
M. Krech
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作者:
M. Krech

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如果两个或多个物体浸没在临界流体中,序参量的临界波动会在这些物体之间产生长程力。由于基本机制,这些力与电磁学中众所周知的卡西米尔力非常相似。对于特殊情况下的二元液体混合物附近的临界分层过渡局限于一个简单的平行板的几何形状,它表明,相应的临界Casimir力可以是相同的数量级的分散(货车德瓦尔斯)之间的板力。因此,在润湿实验中或通过用原子力显微镜直接测量,在临界状态下通常的分散力的所产生的修改应该是容易检测的。分析估计的Casimir振幅δ在d=4-ε与相应的蒙特-卡罗结果在d=3和它们的定量影响的临界润湿层的厚度和力的测量进行了比较讨论。
If two ore more bodies are immersed in a critical fluid critical fluctuations of the order parameter generate long ranged forces between these bodies. Due to the underlying mechanism these forces are close analogues of the well known Casimir forces in electromagnetism. For the special case of a binary liquid mixture near its critical demixing transition confined to a simple parallel plate geometry it is shown that the corresponding critical Casimir forces can be of the same order of magnitude as the dispersion (van der Waals) forces between the plates. In wetting experiments or by direct measurements with an atomic force microscope the resulting modification of the usual dispersion forces in the critical regime should therefore be easily detectable. Analytical estimates for the Casimir amplitudes Delta in d=4-epsilon are compared with corresponding Monte-Carlo results in d=3 and their quantitative effect on the thickness of critical wetting layers and on force measurements is discussed.