Complete scaling makes differences along the critical isobar: Molecular dynamics simulations of Lennard-Jones fluid with finite-time scaling

TL;DR

This study demonstrates that complete scaling significantly alters the critical behavior along the isobar in Lennard-Jones fluids, verified through finite-time scaling theory and molecular dynamics simulations, highlighting its importance even for weakly asymmetric systems.

Contribution

The paper introduces a complete-field finite-time scaling theory combined with molecular dynamics simulations to analyze critical behavior along the isobar, revealing the necessity of complete scaling.

Findings

Complete scaling results in a unique leading critical behavior.

Static and dynamic critical exponents can be estimated without prior universality knowledge.

Results align with existing critical parameter values.

Abstract

We show that, along the critical isobar, the complete scaling results in a unique leading scaling qualitatively distinct to that arising from the simple and the revised scalings. This is verified by a complete-field finite-time scaling theory, which combines the complete scaling with finite-time scaling, and its application to the molecular dynamics simulations of the vapor-liquid critical point of a three-dimensional one-component Lennard-Jones fluid in an isobaric-isothermal ensemble with linear heating or cooling. Both the static and the dynamic critical exponents as well as the critical parameters can be estimated without \emph{a priori} knowledge of the universality class. The results agree with extant values and thus show the necessity of the complete scaling to the leading asymptotic behavior along the critical isobar even for the LJ fluid whose asymmetry is thought to be weak.