The non-hydrostatic (NH) compressible Euler equations for dry atmosphere were solved in a simplified two-dimensional (2-D) slice framework employing a spectral element method (SEM) for the horizontal discretization and a finite difference method (FDM) for the vertical discretization. By using horizontal SEM, which decomposes the physical domain into smaller pieces with a small communication ste...

We study level mixing in the single particle energy spectrum of one of the constituent quantum dots in a vertical double quantum dot by performing magneto-resonant-tunneling spectroscopy. The device used in this study differs from previous vertical double quantum dot devices in that the single side gate is now split into four separate gates. Because of the presence of natural perturbations caus...

We improve previous lower bounds on the number of simple polygonizations, and other kinds of crossing-free subgraphs, of a set of N points in the plane by analyzing a suitable configuration. We also prove that the number of crossing-free perfect matchings and spanning trees is minimum when the points are in convex position.  2000 Elsevier Science B.V. All rights reserved.

In recent years, DC microgrid has attracted considerable attention of the research community because of the wide usage of DC power-based appliances. However, the acceptance of DC microgrid by power utilities is still limited due to the issues associated with the development of a reliable protection scheme. The high magnitude of DC fault current, its rapid rate of rising and absence of zero cros...

Several formulas for crossing functions arising in the continuum limit of critical two-dimensional percolation models are studied. These include Watts’s formula for the horizontal-vertical crossing probability and Cardy’s new formula for the expected number of crossing clusters. It is shown that for lattices where conformal invariance holds, they simplify when the spatial domain is taken to be ...

Direct numerical simulations were carried out on grid turbulence with a mean scalar gradient to reveal interscale transport. Two-point statistical analysis using the structure function and scale-by-scale equation was performed. Results show that third-order becomes negative at large scales in upstream region (inverse cascade occurs), while such distributions do not appear for energy. This pheno...