The van der Waals equation is well known for the description of two-dimensional monolayers. The formation of a monolayer is the result of a compromise between the process of self-organization on the surface and the probabilities of spatial configurations of adsorbate molecules near the surface. The main reasons for the geometric heterogeneity of the monolayer are the geometric disorder and the energy inhomogeneity of the surface profile. A monolayer is a statistically related system and its symmetry causes correlations of processes at different spatial scales. The classical van der Waals equation is written for the two-dimensional, completely symmetric Euclidean space. In the general case, the geometry of the monolayer must be defined for the Euclidean space of fractional dimension (fractal space) with symmetry breaking. In this case, the application of the classical van der Waals equation is limited. Considering the fractal nature of the monolayer–solid interface, a quasi-two-dimensional van der Waals equation is developed. The application of the equation to experimental data of an activated carbon is shown.
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机译：van der WAASS方程对于二维单层的描述是众所周知的。单层的形成是在表面上的自组织过程与表面附近的吸附分子的空间配置的概率之间的折衷。单层几何异质性的主要原因是表面轮廓的几何紊乱和能量不均匀性。单层是统计相关的系统，其对称性导致不同空间尺度的过程的相关性。典型的范德瓦尔斯方程是为二维完全对称的欧几里德空间编写的。在一般情况下，必须为单层的几何形状为具有对称性断裂的分数尺寸（分形空间）的欧几里德空间来定义。在这种情况下，典型范德瓦尔斯方程的应用是有限的。考虑到单层＆ndash的分形性质;固体界面，开发了一种准二维范德瓦尔斯方程。示出了等式对活性炭的实验数据的应用。
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