6,337 research outputs found
Friedmann universe with dust and scalar field
We study a spatially flat Friedmann model containing a pressureless perfect
fluid (dust) and a scalar field with an unbounded from below potential of the
form V(\fii)=W_0 - V_0\sinh(\sqrt{3/2}\kappa\fii), where the parameters
and are arbitrary and . The model is
integrable and all exact solutions describe the recollapsing universe. The
behavior of the model near both initial and final points of evolution is
analyzed. The model is consistent with the observational parameters. We single
out the exact solution with the present-day values of acceleration parameter
and dark matter density parameter describing
the evolution within the time approximately equal to .Comment: 11 pages, 10 figure
Numerical modeling of troposphere-induced gravity wave propagation
Sources of internal gravity waves (IGW) in the upper atmosphere are assumed to be meteorological processes in the troposphere. These sources are vertically and horizontally inhomogeneous and time dependent. In order to describe the IGW propagation from such sources, a numerical solution of a system of hydrodynamical equations is required. In addition, it is necessary to take into account the influence of the altitude latitude inhomogeneity of the temperature and wind fields on the IGW propagation as well as the processes of dissipation. An algorithm is proposed for numerical modelling of the IGW propagation over a limited area from tropospheric local sources to the upper atmosphere. The algorithm takes into account all the above features. A spectral grid method is used with the expansion of wave fields into the Fourier series over longitude. The upper limit conditions were obtained from the requirement of a limited energy dissipation rate in an atmospheric column. The no slip (zero velocity) condition was used at the Earth's surface
Heat transfer in a one-dimensional harmonic crystal in a viscous environment subjected to an external heat supply
We consider unsteady heat transfer in a one-dimensional harmonic crystal
surrounded by a viscous environment and subjected to an external heat supply.
The basic equations for the crystal particles are stated in the form of a
system of stochastic differential equations. We perform a continualization
procedure and derive an infinite set of linear partial differential equations
for covariance variables. An exact analytic solution describing unsteady
ballistic heat transfer in the crystal is obtained. It is shown that the
stationary spatial profile of the kinetic temperature caused by a point source
of heat supply of constant intensity is described by the Macdonald function of
zero order. A comparison with the results obtained in the framework of the
classical heat equation is presented. We expect that the results obtained in
the paper can be verified by experiments with laser excitation of
low-dimensional nanostructures.Comment: 12 pages, 5 figure
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