标题： 二元混合物中具有竞争相互作用的单层中的自发图案形成 显示英文标题

标题： Spontaneous pattern formation in monolayers of binary mixtures with competing interactions

摘要： 一个关于两种类型粒子单层自发形成有序图案的模型通过介观理论和MC模拟进行研究。 我们假设两种组分具有相同大小的硬核，同一物种粒子之间存在短程吸引和长程排斥，以及相反符号的交叉相互作用。 该模型受到带相反电荷的亲水和疏水粒子或大分子的启发，这些粒子在接近相混临界点的溶剂的不同组分中具有优先溶解性。 我们在平均场单壳近似下，确定了几种固定温度下的化学势和浓度-密度平面上的相图。 我们发现第二组分的存在显著扩大了有序相的稳定温度范围。 我们获得了三种具有周期性浓度的稳定相：当化学势相近时，具有交替条纹的层状L相，以及少数组分簇在多数组分液体中的六方排列。 然而，后两种相仅在相对较高的温度下稳定。 在较低温度下，L相与无序的一组分流体或混合组分的非常稀薄气体共存。 在更低温度下，与L相共存的一组分相可以是无序的或有序的，这取决于化学势。 理论结果通过选定热力学状态的MC模拟得到证实。 显示英文摘要

摘要： A model for a monolayer of two types of particles spontaneously forming ordered patterns is studied by a mesoscopic theory and by MC simulations. We assume hard-cores of the same size for both components, short-range attraction long-range repulsion between particles of the same species, and the cross-interaction of opposite sign. The model is inspired by oppositely charged hydrophilic and hydrophobic particles or macromolecules with preferential solubility in different components of a solvent that is close to a miscibility critical point. We determine the phase diagram in the chemical potentials and in the concentration - density planes for a few fixed temperatures in the mean-field one-shell approximation. We find that the presence of the second component significantly enlarges the temperature range of stability of the ordered phases. We obtain three stable phases with periodic concentration: the lamellar L phase with alternating stripes of the two components for similar chemical potentials, and a hexagonal arrangement of the clusters of the minority component in the liquid of the majority component. The latter two phases, however, are stable only at relatively high temperatures. At lower temperatures, the L phase coexists with a disordered one-component fluid or with very dilute gas with mixed components. At still lower temperatures, the one-component phase coexisting with the L phase can be disordered or ordered, depending on the chemical potentials. The theoretical results are confirmed by MC simulations for selected thermodynamic states.