Long-Range Correlations under Temperature Gradients: A Molecular Dynamics Study of Simple Fluids

TL;DR

This study uses molecular dynamics simulations to observe and confirm long-range correlations in simple fluids under temperature gradients, aligning with theoretical predictions and expanding understanding of these phenomena.

Contribution

First MD simulation study demonstrating long-range correlations in fluids under temperature gradients, confirming theoretical predictions with three distinct approaches.

Findings

Observed the $oldsymbol{q}^{-4}$ divergence in static structure factor

Detected $oldsymbol{q}^{-4}$ divergence in dynamic structure factor

Achieved quantitative agreement with fluctuating hydrodynamics predictions

Abstract

In fluids under temperature gradients, long-range correlations (LRCs) emerge generically, leading to enhanced density fluctuations. This phenomenon, characterized by the $\boldsymbol{q}^{-4}$ divergence in the static structure factor (where $\boldsymbol{q}$ is the wavenumber), has been extensively studied both theoretically and experimentally. However, they remain unexplored in Hamiltonian particle systems using molecular dynamics (MD) simulations. This Letter reports the first MD study to provide unambiguous observations of the LRCs. We demonstrate this by three distinct approaches: (1) measuring the static structure factor and directly observing the $\boldsymbol{q}^{-4}$ divergence characterizing the LRCs; (2) detecting the corresponding $\boldsymbol{q}^{-4}$ divergence in the dynamic structure factor; (3) establishing a quantitative agreement between MD results and predictions from fluctuating hydrodynamics, the phenomenological theory that predicts the LRCs. Our findings demonstrate that MD simulations offer a powerful complementary tool to theoretical and experimental investigations of LRCs.