The macroscopic quantum states of a condensed neutral Bose gas in one-dimensional power-law traps are obtained by solving the Gross-Pitaevskii equation numerically. A suitable candidate for a trial wave function for the variational calculation of the ground-state energy is suggested. It is shown that the suggested function exp(−r), where k is the power of the trap, produces a lower ground-state...

Acoustic Doppler Current Profilers (ADCP’s) are easier to apply and more rapidly collect velocity data than traditional current-meter instruments. However, flow discharge estimates in natural rivers and canals based on ADCP measurements rely on extrapolations of the measured velocity profiles into the unmeasured zones of the flow. Furthermore, the accuracy and reliability of ADCP’s have not bee...

The latest cosmological N -body simulations find two intriguing properties for dark matter haloes: (1) their radial density profile, ρ, is better fit by a form that flattens to a constant at the halo center (the Einasto profile) than the widely-used NFW form; (2) the radial profile of the pseudo-phase-space density, ρ/σ r , on the other hand, continues to be well fit by a power law, as seen in ...

Time-dependent creep analysis is presented for the calculation of stresses and displacements of axisymmetric thick-walled cylindrical pressure vessels made of functionally graded material (FGM). For the purpose of time-dependent stress analysis in an FGM pressure vessel, material creep behavior and the solutions of the stresses at a time equal to zero (i.e. the initial stress state) are needed....

To be published in Phys. Rev. E (2005). We present a simple point process model of 1/f β noise, covering different values of the exponent β. The signal of the model consists of pulses or events. The interpulse, interevent, interarrival, recurrence or waiting times of the signal are described by the general Langevin equation with the multiplicative noise and stochastically diffuse in some interv...