Caroline Desgranges, Department of Chemical Engineering
, University of South Carolina, 301 South Main Street, Columbia, SC 29208 and Jerome Delhommelle, Chemical Engineering, University of South Carolina, 301 South Main Street, Columbia, SC 29208.
In nonequilibrium molecular dynamics (NEMD) simulations, transport properties are determined by computing the average of the response over the steady state. However, the steady-state average becomes very noisy for realistic (i.e. of the order of those used in experiments) external fields or shear rates. Having a large signal-to-noise ratio - and hence subjecting the fluid to large shear rates - is therefore crucial to obtain meaningful steady-state averages. For instance, the lowest shear rates accessible by molecular dynamics are at least 4 orders of magnitude larger than those typically used in experiments. Current NEMD methods are therefore unable to shed light on a number of recent experimental measurements on films of about 5-8 molecular layers.
We address the inability of current MD methods to study nanoconfined liquids subjected to realistic external fields (or shear rates). We apply a nonlinear generalization of the Green-Kubo relations, the so-called transient time correlation function (TTCF) formalism. TTCF gives an exact relation between the nonlinear steady-state response and the so-called transient time correlation function. We demonstrate that this approach allows to study the transport properties of a nanoconfined fluid.