Universality in Driven and Equilibrium Hard Sphere Liquid Dynamics

Abstract

We demonstrate that the time evolution of the van Hove dynamical pair correlation function is governed by adiabatic forces that arise from the free energy and by superadiabatic forces that are induced by the flow of the van Hove function. The superadiabatic forces consist of drag, viscous, and structural contributions, as occur in active Brownian particles, in liquids under shear and in lane forming mixtures. For hard sphere liquids we present a power functional theory that predicts these universal force fields in quantitative agreement with our Brownian dynamics simulation results.

arXiv comment5 pages, 1 figure

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• Why Noether's Theorem applies to Statistical Mechanics
• Perspective: How to overcome dynamical density functional theory
• Adaptive Brownian Dynamics
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• Perspective: New directions in dynamical density functional theory
• Why neural functionals suit statistical mechanics
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• Dynamic Decay and Superadiabatic Forces in the van Hove Dynamics of Bulk Hard Sphere Fluids
• Metadensity functional learning for classical fluids: Regularizing with pair correlations