Maximum-entropy closure of hydrodynamic moment hierarchies including correlations.
Generalized hydrodynamic moment hierarchies are derived which explicitly include nonequilibrium two-particle and higher-order correlations. The approach is adapted to strongly correlated media and nonequilibrium processes on short time scales which necessitate an explicit treatment of time-evolving correlations. Closure conditions for the extended moment hierarchies are formulated by a maximum-entropy approach, generalizing related closure procedures for kinetic equations. A self-consistent set of nonperturbative dynamical equations are thus obtained for a chosen set of single-particle and two-particle (and possibly higher-order) moments. Analytical results are derived for generalized Gaussian closures including the dynamic pair distribution function and a two-particle correction to the current density. The maximum-entropy closure conditions are found to involve the Kirkwood superposition approximation.
School of Chemistry, Bangor University, Bangor, Gwynedd LL57 2UW, United Kingdom.
Keith H
KH
Hughes
Irene
I
Burghardt
D019277:Entropy; D057446:Hydrodynamics; D007700:Kinetics