Normality of orbit closures in the enhanced nilpotent cone

We continue the study of the closures of $GL(V)$-orbits in the enhanced nilpotent cone V\times\cN begun by the first two authors. We prove that each closure is an invariant-theoretic quotient of a suitably-defined enhanced quiver variety. We conjecture, and prove in special cases, that these enhanced quiver varieties are normal complete intersections, implying that the enhanced nilpotent orbit closures are also normal.Comment: 30 page

Long-range-corrected hybrids including RPA correlation

We recently demonstrated a connection between the random phase approximation (RPA) and coupled cluster theory [J. Chem. Phys. 129, 231101 (2008)]. Based on this result, we here propose and test a simple scheme for introducing long-range RPA correlation into density functional theory. Our method provides good thermochemical results and models van derWaals interactions accurately.Comment: Accepted version of the manuscrip

Henderson, Benjamin

Co. C. 1315 Engr. Const. Bn. Camp Sutton, N.C.https://dh.howard.edu/prom_members/1038/thumbnail.jp

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Evacuated Enclosure Mounted Acoustic Actuator and Passive Attenuator

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/77190/1/AIAA-2002-1355-680.pd

Fluid structure in the immediate vicinity of an equilibrium three-phase contact line and assessment of disjoining pressure models using density functional theory

We examine the nanoscale behavior of an equilibrium three-phase contact line in the presence of long-ranged intermolecular forces by employing a statistical mechanics of fluids approach, namely density functional theory (DFT) together with fundamental measure theory (FMT). This enables us to evaluate the predictive quality of effective Hamiltonian models in the vicinity of the contact line. In particular, we compare the results for mean field effective Hamiltonians with disjoining pressures defined through (I) the adsorption isotherm for a planar liquid film, and (II) the normal force balance at the contact line. We find that the height profile obtained using (I) shows good agreement with the adsorption film thickness of the DFT-FMT equilibrium density profile in terms of maximal curvature and the behavior at large film heights. In contrast, we observe that while the height profile obtained by using (II) satisfies basic sum rules, it shows little agreement with the adsorption film thickness of the DFT results. The results are verified for contact angles of 20, 40 and 60 degrees