Statistics of Multiscale Fluctuations in Macromolecular Systems

TL;DR

This paper introduces a statistical approach to analyze multiscale fluctuations in macromolecular systems, revealing how such fluctuations induce phase transitions and structural transformations.

Contribution

It presents a novel method for studying multiscale fluctuations in macromolecules, linking statistical properties to phase transitions and structural changes.

Findings

Multiscale fluctuations cause phase transitions between coupling states.

Statistical properties are derived by averaging over fluctuations.

Density and size fluctuations are treated using classical statistical mechanics.

Abstract

An approach is suggested for treating multiscale fluctuations in macromolecular systems. The emphasis is on the statistical properties of such fluctuations. The approach is illustrated by a macromolecular system with mesoscopic fluctuations between the states of atomic orbitals. Strong-orbital and weak-orbital couplings fluctuationally arise, being multiscale in space and time. Statistical properties of the system are obtained by averaging over the multiscale fluctuations. The existence of such multiscale fluctuations causes phase transitions between strong-coupling and weak-coupling states. These transitions are connected with structure and size transformations of macromolecules. An approach for treating density and size multiscale fluctuations by means of classical statistical mechanics is also advanced.