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.

5 pages, 1 figure

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Cited by in corpus (11)

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• Force density functional theory in- and out-of-equilibrium
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• Why neural functionals suit statistical mechanics
• Neural density functionals: Local learning and pair-correlation matching
• Neural force functional for non-equilibrium many-body colloidal systems
• 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