CAJ | 학술논문

应用统计力学原理对 Aa Bb 型 Patchy 粒子的聚集过程进行研究，考察了典型平均物理量在聚集过程中的变化情况。首先基于配分函数导出体系的平衡自由能及描述 Patchy 粒子之间联接作用的质量作用定律，进而获得团簇的数量分布函数。进一步给出 Patchy 团簇的数均和重均聚合度以及物理凝胶化条件，探讨了凝胶化区域与 Patchy 粒子数之间的依赖关系。同时给出 Patchy 团簇生长的微分动力学方程，并进行了相应的 Monte Carlo 模拟。本文旨在揭示 Patchy 粒子的内在和外在因素对体系聚集态结构的影响，为实现对Patchy 粒子体系的有效调控提供理论依据。
응용통계역학원리대 Aa Bb 형 Patchy 입자적취집과정진행연구，고찰료전형평균물리량재취집과정중적변화정황。수선기우배분함수도출체계적평형자유능급묘술 Patchy 입자지간련접작용적질량작용정률，진이획득단족적수량분포함수。진일보급출 Patchy 단족적수균화중균취합도이급물리응효화조건，탐토료응효화구역여 Patchy 입자수지간적의뢰관계。동시급출 Patchy 단족생장적미분동역학방정，병진행료상응적 Monte Carlo 모의。본문지재게시 Patchy 입자적내재화외재인소대체계취집태결구적영향，위실현대Patchy 입자체계적유효조공제공이론의거。
The aggregation of patchy particle with distinct patchy was investigated by the statistical mechanical method, in which the change in some average physical quantities with degree of association was of the particu-lar interest. Specifically, the equilibrium free energy and laws of mass action describing the two types of asso-ciations were derived by the constructed partition function, and then the size distribution of patchy clusters was obtained. Based on these results, the number- and weight-average degrees of association, the gelation condi-tion as well as the dependence of pre-gel and post-gel regimes on the patchy number were discussed. Further-more, the kinetic differential equation for description of the growth of patchy clusters was proposed and used to perform the Monte Carlo simulation. The consistence between simulation and analytical results demonstrate the validity of the kinetic differential equation. An aim is attempted to correlate thermodynamic and dynamic con-ditions with the degrees of association, and thereby provide possible clue for regulating the aggregated and phase structures of patchy particles.