不同耦合参数下球核-球壳系统的反离子分布

探讨了粒子间强相互作用的解决方法，建立了处于反离子溶液中的带电球核-球壳系统的场论模型．针对此模型，以球核-无限空间模型和球壳-等势空间模型作为边界极限，分别进行了强弱耦合两种情况下的研究．结果发现：弱耦合下，用泊松-波尔兹曼近似方法所得到的结果与用Monte Carlo方法模拟所得结果相一致；强耦合下，采用强耦合近似方法进行求解．通过分析所得结果与用Monte Carlo方法模拟所得结果进行比较，得到强耦合近似方法的适用范围．

Counter-Ion Distribution in a Sphere Kernel-Shell with Different Couplings

It was established that a field theory of counter-ion density distributions in a sphere kernel-shell model. Two different approximation methods, the Poisson-Boltzmann method and strong coupling method, corresponding to the weak and strong coupling limits respectively, were obtained. The PB approach gives asymptotically exact counter-ion density profiles, which compare well with the simulation results, around macroscopic charged objects and forces between macroscopic charged objects in the weak-couplinhg limit of low counter-ion valency, low surface-charge density, and high temperature. In the strong coupling limits, by analyzing the results of the strong coupling methods and comparing with Monte Carlo simulations, the validity domain of the methods was given.