Mesoscopic Phase Fluctuations: General Phenomenon in Condensed Matter

TL;DR

This paper explores the general conditions under which mesoscopic phase fluctuations occur in condensed matter, using heterophase fluctuation theory and weighted Hilbert spaces to describe coexisting phases.

Contribution

It introduces a theoretical framework for understanding mesoscopic phase fluctuations in condensed matter, supported by illustrative models.

Findings

Identifies conditions for mesoscopic phase coexistence.

Uses weighted Hilbert spaces to characterize phase states.

Provides models demonstrating heterophase phenomena.

Abstract

General conditions for the occurrence of mesoscopic phase fluctuations in condensed matter are considered. The description of different thermodynamic phases, which coexist as a mixture of mesoscopically separated regions, is based on the {\it theory of heterophase fluctuations}. The spaces of states, typical of the related phases, are characterized by {\it weighted Hilbert spaces}. Several models illustrate the main features of heterophase condensed matter.