Large Systems

Binary Processes of Self-Assembling with Volumetric Interactions

M. L. Tai


Abstract: 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.

UDC: 621.391.1

Received: 25.10.1993
Revised: 25.04.1994

 English version: Problems of Information Transmission, 1994, 30:3, 275–282

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