Simulation of nose whistlers: An application to low latitude whistlers

Simulation technique for whistler mode signal propagating through inhomogeneous plasma using WKB approximation has been developed (Singh, K., Singh, R.P., Ferencz, O.E., 2004. Simulation of whistler mode propagation for low latitude stations. Earth Planet Space 56, 979-987). In the present paper, we have used it for the analysis of recorded signals at low latitudes and estimated the nose frequency, which is not observed on the dynamic spectra. At low latitudes nose frequency is ∼100 kHz or more and therefore it is absent in the dynamic spectra due to attenuation of the signal at higher frequencies. The importance of nose frequency is in determining the exact path of propagation, which is required in probing of ambient medium. It is shown that the method permits to study the nose frequency variation, it can be used to deduce physical parameters as the global electric field. A case study permits to get a reasonable value of the electric field, which up to now could not be done at very low latitude.     

Singularities and cosmic censorship

We give an elementary overview of the subject of gravitational collapse in classical general relativity. Recent theoretical evidence for the formation of black-holes and naked singularities is summarised.     

Massive compact dwarf stars and C-field

The effect of C-field in high density matter has been studied. We find that the negative energy and negative pressure of the C-field helps in formation of massive compact stable neutron stars of mass ∼ 0.5 solar mass which is in the range of 0.01 to 1.0 solar mass of recently observed dwarf stars.     

On the stability of twisted magnetic fields

The stability of helical magnetic fields is investigated when fluid motions are present along the lines of force. The general dispersion relation is obtained and some limiting cases are examined. It is established that the configuration can be unstable when the velocity field exceeds a certain critical value. This result is to be compared with the case when the helical fields confined by a rigid boundary are stable when the energy density in the velocity field is at least equal to that of the magnetic field.     

Use of Roche coordinates in the problems of small oscillations of rotationally distorted stellar models

The system of Roche coordinates developed by Kopal to study the problems of stars in close binary systems has been used to study the problems of small oscillations of rotationally distorted stars.     

An explosion model in magne to gasdynamics

By taking into account the interaction with magnetic field, in an axially symmetric inhomogeneous medium and assuming Gaussian density profile in radial direction instead of the cusped exponential law, a point explosion has been investigated by generalising the method suggested by Laumbach and Probstein (1969). The shock envelope becomes increasingly elongated along the axis of rotation, until it finally breaks through into the intergalactic space before it can spread considerably in equatorial directions as in ordinary gasdynamics. A comparison has been made between our results and those obtained in ordinary gasdynamics.Explosion models of double radio sources and related objects are suggested.     

Generation and amplification of HM emissions by ion-cyclotron instabilities

This paper describes the analysis of the growth rate of hydromagnetic waves in the magnetosphere in ion-cyclotron mode considering multicomponent thermal plasma. Effects upon growth rate have been estimated due to (a) Thermal velocity of background plasma; (b) Presence of Heliumions in background plasma; (c) Beam Velocity; (d) Beam density.     

Numerical performance of some finite element schemes for analysis of seepage in porous elastic media

Several finite element schemes for analysis of seepage in porous elastic media, based on different spatial and temporal discretization, were implemented in computer programs. Their numerical performance is evaluated by comparison with the exact solution for Terzaghi's problem of one-dimensional consolidation.