We describe a finite element numerical approach to the full Hartree-Fock-Bogoliubov treatment of a vortex lattice in a rapidly rotating Bose–Einstein condensate. We study the system in the regime of high thermal or significant quantum fluctuations where we are presented with a very large...

In this study, classical and fractional Gross–Pitaevskii (GP) equations were solved for harmonic potential and repulsive interactions between the boson particles using the Homotopy Perturbation Method (HPM) to investigate the ground state dynamics of Bose–Einstein Condensation (BEC). The...

In light of the recent experimental observation of Bose–Einstein condensates held in 1D, 2D and 3D optical lattice potentials, we derive several families of exact solutions of the Gross–Pitaevskii equation from some balance conditions between the optical potentials and interaction energies....

The Smart Grid envisions a transformed US power distribution grid that enables communicating devices, under human supervision, to moderate loads and increase overall system stability and security. This vision explicitly promotes increased participation from a community that, in the past, has had...

This paper examines some of the causes of poor connectivity in developing countries, and suggests options for overcoming the so-termed digital divide. Based on a techno-economic analysis of connectivity technologies and design, I show that technical limitations per se are not the bottleneck for...

This paper examines some of the causes of poor connectivity in developing countries, and suggests options for overcoming the so-termed digital divide. Based on a techno-economic analysis of connectivity technologies and design, I show that technical limitations per se are not the bottleneck for...

Seven configurations of Photovoltaic (PV) energy conversion systems were investigated and their performances compared to direct solar PV conversion. The systems involved use of filters, concentrator lens, fiber transport, and direct use of PV. Transmission of concentrated light onto PV cell...

Using a long wave expansion we study the asymptotic solutions near a critical point of a multi-anticipative car-following model. A suitable rescaling of the variables then yields a modified Korteweg–de Vries (MKdV) equation with higher order corrections. An equation of this general form has...

We analyze a system of reacting elements harmonically coupled to nearest neighbors in the continuum limit. An analytic solution is found for traveling waves. The procedure is used to find oscillatory as well as solitary waves. A comparison is made between exact solutions and solutions of the...