Master crossover functions for the one-component fluid "subclass"

TL;DR

This paper develops a framework using master crossover functions and dimensionless numbers to describe the universal critical behavior of one-component fluids, linking theoretical models with experimental data.

Contribution

It introduces a set of dimensionless numbers that connect the scale dilatation method with universal crossover functions for one-component fluids.

Findings

Establishment of a link between scale dilatation and crossover functions

Validation of the master crossover functions against fluid data

Enhanced understanding of critical behavior in fluids

Abstract

Introducing three well-defined dimensionless numbers, we establish the link between the scale dilatation method able to estimate master (i.e. unique) singular behaviors of the one-component fluid "subclass" and the universal crossover functions recently estimated [Garrabos and Bervillier, Phys. Rev. E 74, 021113 (2006)] from the bounded results of the massive renormalization scheme applied to the...