Bruhn H, Kählert H, Ott T, Bonitz M, Wrighton J, Dufty J W
Institut für Theoretische Physik und Astrophysik, Christian-Albrechts-Universität zu Kiel, D-24098 Kiel, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Oct;84(4 Pt 2):046407. doi: 10.1103/PhysRevE.84.046407. Epub 2011 Oct 20.
A theoretical description of the radial density profile for charged particles with Yukawa interaction in a harmonic trap is described. At strong Coulomb coupling shell structure is observed in both computer simulations and experiments. Correlations responsible for such shell structure are described here using a recently developed model based in density functional theory. A wide range of particle number, Coulomb coupling, and screening lengths is considered within the fluid phase. A hypernetted chain approximation shows the formation of shell structure, but fails to give quantitative agreement with Monte Carlo simulation results at strong coupling. Significantly better agreement is obtained within the hypernetted chain structure using a renormalized coupling constant, representing bridge function corrections.
描述了在谐波陷阱中具有汤川相互作用的带电粒子径向密度分布的理论描述。在强库仑耦合下，在计算机模拟和实验中均观察到壳层结构。这里使用基于密度泛函理论的最新开发模型描述了导致这种壳层结构的相关性。在流体相中考虑了广泛的粒子数、库仑耦合和屏蔽长度。超网链近似显示了壳层结构的形成，但在强耦合下未能与蒙特卡罗模拟结果达成定量一致。使用表示桥函数修正的重整化耦合常数，在超网链结构内获得了明显更好的一致性。
