论文标题

在带电的平面墙上的柜台的地面相关能量:Gibbs-Bogoliubov较低接近

Ground-state correlation energy of counterions at a charged planar wall: Gibbs-Bogoliubov lower-bound approach

论文作者

Frusawa, Hiroshi

论文摘要

最近的仿真结果意味着与2D和3D单组分等离子系统相比,在带电的平面壁上每个反子的地面相关能量降低。我们的目的是通过考虑一个准2D结合的状态,正确评估强耦合反式系统的基础能量,其中结合的柜台仅限于分子厚度层。我们使用基于吉布斯 - 贝戈利博夫不等式的差异方法来对低结合的自由能,以便将液态理论纳入制剂中。软平均球形近似表明,降低的地下能量可以通过准2D结合态的分析形式来重现。

Recent simulation results imply the lowering of the ground-state correlation energy per counterion at a charged planar wall, compared with that of the 2D and 3D one-component plasma systems. Our aim is to correctly evaluate the ground-state energy of strongly-coupled counterion systems by considering a quasi-2D bound state where bound counterions are confined to a layer of molecular thickness. We use a variational approach based on the Gibbs-Bogoliubov inequality for the lower-bound free energy so that the liquid-state theory can be incorporated into the formulations. The soft mean spherical approximation demonstrates that the lowered ground-state energy can be reproduced by the obtained analytical form of a quasi-2D bound state.

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