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Nanofluidics shows great promise for energy conversion and desalinationapplications. The performance of nanofluidic devices is controlled byliquid-solid friction, quantified by the Navier friction coefficient (FC).Despite decades of research, there is no well-established generic framework todetermine the frequency dependent Navier FC from atomistic simulations. Here,we have derived analytical expressions to connect the Navier FC to the randomforce autocorrelation on the confining wall, from the observation that therandom force autocorrelation can be related to the hydrodynamic boundarycondition, where the Navier FC appears. The analytical framework is generic inthe sense that it explicitly includes the system size dependence and also thefrequency dependence of the FC, which enabled us to address (i) thelong-standing plateau issue in the evaluation of the FC and (ii) thenon-Markovian behavior of liquid-solid friction of a Lennard-Jones liquid andof water on various walls and at various temperatures, including thesupercooled regime. This new framework opens the way to explore the frequencydependent FC for a wide range of complex liquids.

Theoretical framework for the atomistic modeling of frequency-dependent liquid-solid friction