Department of Chemistry, Federico Santa Maria Technical University, Campus San Joaquín, Santiago, Chile.
Phys Rev E. 2019 Oct;100(4-1):042113. doi: 10.1103/PhysRevE.100.042113.
This work investigates a one-component one-dimensional Coulomb system in sticky wall confinement. Sticky wall is introduced as an alternative and intuitive depiction of charge regulation, the notion that a surface charge is not a fixed but a fluctuating quantity in dynamic equilibrium with its immediate environment. Emphasis is placed on intuitive derivation and expressions are obtained by observing that the partition function of a charge regulated system can be decomposed into a collection of independent equilibriums with different fixed surface charges. Adsorbed particles behave as ideal-gas particles in a one-dimensional box whose length corresponds to the parameter of stickiness. Among various scenarios considered are a single- and two-wall confinement as well as the case of sticky counterions capable of associating into pairs. Exact solutions provide a view of the role and behavior of surface charge fluctuations, which is an important step in the "beyond-mean-field" analysis. Consequently, the model serves as a simple paradigm of the mechanism that gives rise to the Kirkwood-Shumaker interactions detected in real systems.
这项工作研究了一种一维单组分库仑系统在粘性壁限制下的情况。粘性壁作为电荷调节的替代和直观描述被引入，即表面电荷不是固定的，而是与动态平衡环境中其直接环境中不断变化的数量。重点是直观的推导，并且通过观察到受管制系统的配分函数可以分解为具有不同固定表面电荷的一系列独立平衡来获得表达式。吸附粒子在一维箱中表现为理想气体粒子，其长度对应于粘性参数。所考虑的各种情况包括单壁和双壁限制以及能够成对结合的粘性抗衡离子的情况。精确解提供了对表面电荷波动作用和行为的了解，这是“超越平均场”分析的重要步骤。因此，该模型是导致在实际系统中检测到 Kirkwood-Shumaker 相互作用的机制的一个简单范例。
