Phenomenological order parameter and local parameters fluctuation far beyond the critical region of the continuous phase transition

TL;DR

This paper introduces a nonlinear temperature scaling transformation derived from an extended phenomenological approach, explaining the behavior of order parameters across various systems beyond the critical region.

Contribution

It presents a new nonlinear temperature scaling transformation based on an extended phenomenological model, explaining order parameter behavior beyond the critical region.

Findings

The transformation accurately reproduces experimental order parameter data.

The approach extends phenomenological models to far beyond the critical region.

The explicit form of the temperature scaling transformation was derived.

Abstract

In the framework of an extended phenomenological approach to phase transitions, it is shown that existing nonlinear relation between local critical atomic parameters and phenomenological order parameter induces the corresponding nonlinear temperature scaling transformation. An explicit form of such a transformation was found. Theoretically predicted uniform function reproduces well the experimentally observed behavior of order parameters in different systems.