Binary Processes of Self-Assembling with Volumetric Interactions

We study the binary process of self-assembling of ordered components, which are able to store and transmit information, in the presence of volumetric interactions. We have found a description of the process, which uses the hierarchy of its components and links and enables us to determine the behavior of the concentrations of the links as $t\to\infty$. The stability of equilibrium is proved for the binary process of self-assembly in the absence of volumetric interactions. A simple class of volumetric interactions, which causes instability of the equilibrium even with self-assembly of four elements, is discovered.