Transport Phenomena in Fluids: Finite-size scaling for critical behavior

TL;DR

This paper investigates the critical behavior of transport properties in a binary Lennard-Jones fluid using simulations, revealing significant finite-size effects and providing the first finite-size scaling analysis of bulk viscosity divergence.

Contribution

It introduces the first finite-size scaling analysis of bulk viscosity at criticality and compares dynamic and static finite-size effects in fluid simulations.

Findings

Finite-size effects are stronger in dynamics than in statics.

Bulk viscosity divergence is quantified via finite-size scaling.

Results agree with mode-coupling and dynamic renormalization group theories.

Abstract

Results for transport properties, in conjunction with phase behavior and thermodynamics, are presented at the criticality of a binary Lennard-Jones fluid from Monte Carlo and molecular dynamics simulations. Evidence for much stronger finite-size effects in dynamics compared to statics has been demonstrated. Results for bulk viscosity are the first in the literature that quantifies critical divergence via appropriate finite-size scaling analysis. Our results are in accordance with the predictions of mode-coupling and dynamic renormalization group theoretical calculations.