We apply a hyperspherical formulation to trapped Bose-Einstein condensate with dipolar and contact interactions. Central this approach is general correspondence between K-harmonic methods suitable Gaussian ansatz the Gross-Pitaevskii equation, regardless of form interparticle potential. This allows one obtain potential energies for wide variety physical problems. In case condensate, motivates i...

â â â â â â â â â â â â  abstract: â  as a result of recent developments, global economic centre of gravity has slide to asia-pacific region. it is predicted that asia-pacific countries will take place at the first row in global trade and nearly a half of the total trade will intensify in this region at the year 2030. on the other hand, the region covers countries from different levels of devel...

Diffusiophoresis, the motion of a particle in response to an externally imposed concentration gradient of a solute species, is analysed from both the traditional coarse-grained macroscopic (i.e. continuum) perspective and from a fine-grained micromechanical level in which the particle and the solute are treated on the same footing as Brownian particles dispersed in a solvent. It is shown that a...

I will discuss in this article some recent progress in the problem of proving existence and uniqueness of solutions to Newton's equations of motion for infinite systems of classical particles interacting by two-body forces which go to zero reasonably quickly as the particle separation goes to infinity. For technical simplicity, I will assume that the interparticle potential 0 has a Lipschitz co...

We consider the physics of lattice bosons affected by disordered on-site interparticle interactions. Characteristic qualitative changes in the zero-temperature phase diagram are observed when compared to the case of randomness in the chemical potential. The Mott-insulating regions shrink and eventually vanish for any finite disorder strength beyond a sufficiently large filling factor. Furthermo...

We have prepared two ultracold fermionic atoms in an isolated double-well potential and obtained full control over the quantum state of this system. In particular, we can independently control the interaction strength between the particles, their tunneling rate between the wells and the tilt of the potential. By introducing repulsive (attractive) interparticle interactions we have realized the ...

cementation factor is a critical parameter, which affects water saturation calculation. in carbonate rocks, due to the sensitivity of this parameter to pore type, water saturation estimation has associated with high inaccuracy. hence developing a reliable mathematical strategy to determine these properties accurately is of crucial importance. to this end, genetic algorithm pattern search is emp...

We present a collision model for particle-particle and particle-wall interactions in interface-resolved simulations of particle-laden flows. Three types of interparticle interactions are taken into account: (1) long- and (2) short-range hydrodynamic interactions, and (3) solid-solid contact. Long-range interactions are incorporated through an efficient and second-order-accurate immersed boundar...

Molecular-thermodynamic models assisted with experimental measurements are applied to correlate and predict the volume transition and structural ordering of poly(N-isopropylacrylamide) (PNIPAM) microgel particles dispersed in pure water. The effective pair potential between PNIPAM particles is represented by a Sutherland-like potential where the size and energy parameters are correlated with pa...

The fact that the ground-state first-order density matrix for Bosons in a parabolic potential with interparticle harmonic interactions is known in exact form is here exploited to study collective excitations in the weak-coupling regime. Oscillations about the ground-state density are treated analytically by a linearized equation of motion which includes a kinetic energy contribution. We show th...