Surface roughness amplifies the water-repellency of hydrophobic materials. If the roughness geometry is, on average, isotropic then the shape of a sessile drop is almost spherical and the apparent contact angle of the drop on the rough surface is nearly uniform along the contact line. If the roughness geometry is not isotropic, e.g., parallel grooves, then the apparent contact angle is no longe...

The Casimir force due to thermal fluctuations (or pseudo-Casimir force) was recently calculated for the perfect Bose gas in the slab geometry for various boundary conditions. The Casimir pressure due to quantum fluctuations in a weakly-interacting dilute Bose-Einstein condensate (BEC) confined to a parallel plate geometry was also recently calculated for Dirichlet boundary conditions. In this p...

This paper discusses the implementation of a distributed geometry for parallel mesh generation, involving dynamic load-balancing and hence dynamic re-partitioning of the geometry. A novel approach is described for improving the efficiency of the distributed geometry interface when dealing with irregular shaped mesh partitions.

Electronic energy transfer (EET) between chromophores is of fundamental importance for many biological processes and optoelectronic devices. However, common models fall short in fully describing the process, especially in bichromophoric model systems with a donor and acceptor connected by a rigid linker providing perpendicular geometries. Herein, we report a novel strategy for preparing bichrom...

This paper presents a parallel visualization technique for illustrative rendering of dense three-dimensional (3D) geometry data sets. Our approach maps the depth information in each geometry onto various visual dimensions of graphical representations, including shape, color, brightness, transparency, and size, to achieve legible display in dense geometry environments where visual clutters often...

In Finsler geometry, the notion of parallel for Finsler tensor fields is defined, already. In this paper, however, for vector fields on a base manifold, the author studies the notion of parallel. In the last section, the obtained results are shown as compare corresponding properties to them of Riemannian geometry. Introduction The author gave the definition (1.1) of the parallel displacement al...

— I will discuss geometry and normal forms for pseudo-Riemannian metrics with parallel spinor fields in some interesting dimensions. I also discuss the interaction of these conditions for parallel spinor fields with the Einstein equations.