Abstract

It has been shown that, when passing from the Becker–Döring finite-difference equations to the differential kinetic equation for the function of aggregate distribution over aggregation numbers, the value of the error in the calculation of the times of fast relaxation in a micellar solution is primarily determined by the approximation used for the behavior of the aggregation work in the vicinity of the minimum of the work. The approach developed in this study on the basis of the perturbation theory enables one to take into account the features of a specific micellar model and, in particular, the possible essential asymmetry of the aggregation work in the vicinity of its minimum already in the principal order. The values of some characteristic times of fast relaxation obtained in terms of the proposed approach show a markedly improved accuracy (in the sense of the closeness to “exact” solutions) as compared with recently obtained results at all considered concentrations. This approach is undoubtedly advantageous in the simplicity of its application, universality, and the feasibility to use it for spherical normal and reverse micelles, as well as for cylindrical micelles. Therewith, the complexity of the method is independent of the explicit specification of employed aggregation work and attachment coefficient as functions of aggregation number.

中文翻译：

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关于胶束模型的特定特征描述快速松弛的一般方法

摘要

研究表明，当从贝克尔-杜林有限差分方程传递到微分动力学方程时，该函数对于聚集分布在聚集数上的作用，在胶束溶液中快速弛豫时间的计算中的误差值主要由用于最小功附近的聚合功的行为的近似值确定。在这项研究中基于微扰理论开发的方法使人们能够考虑特定胶束模型的特征，尤其是考虑了在已经按主序最小的附近发生的聚集工作的可能的基本不对称性。 。与最近在所有考虑的浓度下获得的结果相比，根据提议的方法获得的一些快速松弛的特征时间值显示出显着提高的准确性（就“精确”溶液的接近性而言）。这种方法无疑在其应用的简便性，通用性以及将其用于球形正反胶束和反胶束以及圆柱形胶束的可行性方面均具有优势。因此，该方法的复杂性与所采用的聚集工作的明确规定和作为聚集数的函数的附着系数无关。通用性，以及将其用于球形正反胶束和反胶束以及圆柱形胶束的可行性。因此，该方法的复杂性与所采用的聚集工作的明确规定和作为聚集数的函数的附着系数无关。通用性，以及将其用于球形正反胶束和反胶束以及圆柱形胶束的可行性。因此，该方法的复杂性与所采用的聚集工作的明确规定和作为聚集数的函数的附着系数无关。