Canonical ensemble of open strings

The integral equation has been received for the probability density of distance r between the ends of the string with the preset length L. This equation is invariant under the continuous group of renormalization transformations that initiated using the renormalization method to search out the required probability density asymptotic. The ensemble of such strings with any lengths is considered, and the canonical distribution probability density of distance is established. The results presented can be used to determine the entropy of nanostructures, thereby their thermodynamics in condition monitoring is established.

The result obtained can be used as a purely theoretical study of various systems as well as in technical applications. In particular, by using the formula (13), the entropy of nanostructures can be determined, thereby their thermodynamics in condition monitoring is established. This result allows to establish criterion for the strength of chain systems, depending on the physical state of their environment.

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