Measure Factors, Tension, and Correlations of Fluid Membranes
Measure Factors, Tension, and Correlations of Fluid Membranes
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测量流体膜的因素、张力和相关性
DOI：
10.1051/jp2:1994175
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发表时间：
1994
期刊：
影响因子：
--
通讯作者：
T. Powers
中科院分区：
文献类型：
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作者：
W. Cai;T. Lubensky;P. Nelson;T. Powers
我们研究两个几何因素需要正确的建设统计合奏的表面。这样的合奏出现在流体双层膜的研究，虽然我们的结果更普遍适用。天真的功能措施高度波动必须纠正这些因素，以正确的，自洽的公式的自由能和相关函数的高度。虽然这些修正之一-法捷耶夫-波波夫行列式-已被广泛研究，我们的推导过程从非常简单的几何思想，我们希望消除它的一些神秘。另一个因子类似于弦论中的刘维尔修正。由于我们的公式不同于以前的作者，我们包括一些明确的计算有效框架张力和两点函数，以表明我们的版本确实确保坐标不变性和一致性的最低非平凡阶的温度膨胀
We study two geometrical factors needed for the correct construction of statistical ensembles of surfaces. Such ensembles appear in the study of fluid bilayer membranes, though our results are more generally applicable. The naive functional measure over height fluctuations must be corrected by these factors in order to give correct, self-consistent formulas for the free energy and correlation functions of the height. While one of these corrections-the Faddeev-Popov determinant-has been studied extensively, our derivation proceeds from very simple geometrical ideas, which we hope removes some of its mystery. The other factor is similar to the Liouville correction in string theory. Since our formulas differ from those of previous authors, we include some explicit calculations of the effective frame tension and two-point function to show that our version indeed secures coordinate-invariance and consistency to lowest nontrivial order in a temperature expansion