Xu Xinliang, Rice Stuart A
Department of Physics, The University of Chicago, Chicago, Illinois 60637, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Jul;78(1 Pt 1):011602. doi: 10.1103/PhysRevE.78.011602. Epub 2008 Jul 21.
We report an analysis of the thickness dependence of the liquid-to-hexatic phase transition in a quasi-two-dimensional hard-sphere colloid system as the confining wall separation changes from 1 to 1.6 hard-sphere diameters. In our theoretical evaluation, we study the bifurcation of solutions to the integral equation for the pair correlation function. Our study predicts that at small wall separation the liquid-to-hexatic phase transition is continuous and that it occurs at lower density than the liquid-to-crystal phase transition density, in agreement with the predictions for a strictly two-dimensional system obtained from the Kosterlitz-Thouless-Halperin-Nelson-Young theory. At larger wall separation (larger than about 1.4 hard-sphere diameters), the liquid-to-hexatic phase transition density is predicted to occur at higher density than the liquid-to-crystal phase transition.
我们报告了在准二维硬球胶体系统中，随着限制壁间距从1个硬球直径变化到1.6个硬球直径，液-六方相转变厚度依赖性的分析。在我们的理论评估中，我们研究了对关联函数积分方程解的分岔。我们的研究预测，在小壁间距下，液-六方相转变是连续的，并且它发生在比液-晶相转变密度更低的密度下，这与从Kosterlitz-Thouless-Halperin-Nelson-Young理论得到的严格二维系统的预测一致。在更大的壁间距（大于约1.4个硬球直径）下，预计液-六方相转变密度将在比液-晶相转变更高的密度下发生。
