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Ellipsometric measurement of universal critical adsorption integrals

机译:通用临界吸附积分的椭偏测量

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We present an experimental determination of the universal critical adsorption integrals FP+=FP+(x)dx and FP-=F[P-(x)-1]dx, where P±(x) are the one-phase (+) and the two-phase (-) universal functions that scale the variation of the local order parameter near a free surface in the vicinity of the Ising critical end point. From ellipsometric measurements on three critical binary liquid mixtures we obtain FP+=1.86±0.11, FP-=1.61±0.04, and RMA=1.19±0.04 for their ratio, where the quoted uncertainties represent one standard deviation. These values are compared with recent theoretical and computational results. The renormalization-group calculation of Diehl and Smock [Phys. Rev. B 47, 5841 (1993)] obtained FP+=1.91, FP-=1.44, and RMA=1.33, while a Monte Carlo simulation [M. Smock, H. W. Diehl, and D. P. Landau, Ber. Bunsenges. Phys. Chem. 98, 486 (1994)] obtained FP+=2.18, FP-=1.97, and RMA=1.11. An interpolation to dimension d=3 of exact calculations for d=2 and 4 [G. Fl?ter and S. Dietrich, Z. Phys. B 97, 213 (1995)] obtained FP+=2.27±0.33, FP-=1.84±0.33, and RMA=1.32±0.07.
机译:我们提出了通用临界吸附积分FP + = FP +(x)dx和FP- = F [P-(x)-1] dx的实验确定,其中P±(x)是单相(+),两相(-)通用函数,用于缩放Ising临界端点附近的自由表面附近的局部阶跃参数的变化。通过对三种临界二元液体混合物的椭圆偏振测量,我们得出它们的比率FP + = 1.86±0.11,FP- = 1.61±0.04和RMA = 1.19±0.04,其中引用的不确定度表示一个标准偏差。将这些值与最新的理论和计算结果进行比较。 Diehl和Smock的重归一化组计算[Phys。 Rev.B 47,5841(1993)]获得了FP + = 1.91,FP- = 1.44,以及RMA = 1.33,同时进行了蒙特卡罗模拟[M. Smock,H.W.Diehl和D.P.Landau,伯。 Bunsenges。物理化学98,486(1994)]得到FP + = 2.18,FP- = 1.97,RMA = 1.11。对于d = 2和4 [G,对精确计算的尺寸d = 3进行插值。 Fl?ter和S. Dietrich,Z。Phys。 [B 97,213(1995)]获得了FP + = 2.27±0.33,FP- = 1.84±0.33和RMA = 1.32±0.07。

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