72,228 research outputs found
Ground state and vortex states of bosons in an anisotropic trap: A variational approach
We propose a simple variational form of the wave function to describe the
ground state and vortex states of a system of weakly interacting Bose gas in an
anisotropic trap. The proposed wave function is valid for a wide range of the
particle numbers in the trap. It also works well in the case of attractive
interaction between the atoms. Further, it provides an easy and fast method to
calculate the physical quantities of interest. The results compare very well
with those obtained by purely numerical techniques. Using our wave function we
have been able to verify, for the first time, the predicted behaviour of aspect
ratio.Comment: Revised version, To appear in the special issue of European Physical
Journal
Crystallization of Simple Fluids: Relative Stability of f.c.c. and b.c.c Structures
A free-energy functional for a crystal that contains both the symmetry
conserved and symmetry broken parts of the direct pair correlation function is
developed. The free-energy functional is used to investigate the
crystallization of fluids interacting via the inverse power potential ;
. In agreement with simulation results we find
that for the freezing is into close packed f.c.c structure while for
soft repulsions b.c.c phase is more stable.Comment: 9 pages, 2 figure
Cosmic Evolution in Generalised Brans-Dicke Theory
We have studied the Generalised Brans-Dicke theory and obtained exact
solutions of a(t),phi(t),and omega(t) for different epochs of the cosmic
evolution .We discuss how inflation,decceleration,cosmic acceleration can
result from this solution.The time variation of G(t) is also examined.Comment: 12 pages, no figure
The Cole-Cole Law for Critical Dynamics in Glass-Forming Liquids
Within the mode-coupling theory (MCT) for glassy dynamics, the asymptotic
low-frequency expansions for the dynamical susceptibilities at critical points
are compared to the expansions for the dynamic moduli; this shows that the
convergence properties of the two expansions can be quite different. In some
parameter regions, the leading-order expansion formula for the modulus
describes the solutions of the MCT equations of motion outside the transient
regime successfully; at the same time, the leading- and next-to-leading order
expansion formulas for the susceptibility fail. In these cases, one can derive
a Cole-Cole law for the susceptibilities; and this law accounts for the
dynamics for frequencies below the band of microscopic excitations and above
the high-frequency part of the alpha-peak. It is shown that this scenario
explains the optical-Kerr-effect data measured for salol and benzophenone
(BZP). For BZP it is inferred that the depolarized light-scattering spectra
exhibit a wing for the alpha-peak within the Gigahertz band. This wing results
from the crossover of the von Schweidler-law part of the alpha-peak to the
high-frequency part of the Cole-Cole peak; and this crossover can be described
quantitatively by the leading-order formulas of MCT for the modulus.Comment: 15 pages, 9 figure
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