仅含抗衡离子的可极化对称带电壁的强耦合理论
A strong-coupling theory for polarizable symmetrically charged walls with counterions only
AI总结：
研究一对带均匀表面电荷密度且由移动抗衡离子中和的平行可极化平面壁，提出基于粒子谐波偏差的维格纳型强耦合理论，蒙特卡罗模拟验证该理论，其与预测吻合良好，解决了先前理论在中等和大介电跃变时的不足。
AI中文摘要：
考虑一对相距d的平行可极化平面壁。壁带有均匀表面电荷密度且通过它们之间移动的点抗衡离子中和。研究了强耦合（SC） regime下排斥粒子图像的情况。感兴趣的是由移动抗衡离子介导的有效壁间相互作用（压力）随距离d的变化。结果表明，先前的维里SC单粒子理论在小d且介电跃变小时效果良好；对于中等和大介电跃变，即使在SC区域也不适用。本文提出了一种基于粒子相对于其在介电壁间空间内形成的基态单层或双层维格纳结构的谐波偏差的维格纳型SC理论。我们的蒙特卡罗模拟与维格纳SC预测非常吻合，甚至对于中等耦合常数（$\Xi > 10$）也是如此。
英文摘要：
A pair of parallel polarizable planar walls at distance d is considered. The walls are symmetrically charged with a uniform surface charge density, neutralized by mobile point counterions moving between them. The case of repulsive particle images is studied in the strong-coupling (SC) regime. Of interest is the dependence of the effective inter-wall interaction (pressure), mediated by the mobile counterions, as a function of the distance d. It is shown that previous virial SC single-particle theories work well at small d when the dielectric jump is small; for intermediate and large dielectric jumps they are inadequate even in the SC region. Here, we propose a Wigner-type SC theory based on harmonic deviations of particles from their ground-state monolayer or bilayer Wigner structures formed inside the space between the dielectric walls. Our Monte-Carlo simulations are in very good agreement with the Wigner SC predictions, even down to moderate coupling constants ($Ξ> 10$).
