Abstract In this paper, we present a semi-coupled theory to compute the temperature variation due tide-generating force. The tidal volume strain is first derived in pure elastic homogeneous sphere, terms of classic Love’s solution. Then obtained by solving inhomogeneous heat conduction equation considering both isothermal and adiabatic conditions on surface. results show that magnitude can be m...

We provide a complete picture to the self-gravitating non-relativistic gas at thermal equilibrium using Monte Carlo simulations, analytic mean field methods (MF) and low density expansions. The system is shown to possess an infinite volume limit in the grand canonical (GCE), canonical (CE) and microcanonical (MCE) ensembles when (N,V ) → ∞, keeping N/V 1/3 fixed. We compute the equation of stat...

The isothermal gas sphere is well known as a powerful tool to model many problems in astrophysics, physics, chemistry, and engineering. This singular differential equation has not an exact solution solved only by numerical approximate methods. In the present paper within framework of Newtonian hydrostatic equilibrium, we have developed general analytical formulations for fractional sphere. To o...

We provide a complete picture to the self-gravitating non-relativistic gas at thermal equilibrium using Monte Carlo simulations, analytic mean field methods (MF) and low density expansions. The system is shown to possess an infinite volume limit in the grand canonical (GCE), canonical (CE) and microcanonical (MCE) ensembles when (N,V ) → ∞, keeping N/V 1/3 fixed. We compute the equation of stat...

Monte Carlo (MC) method played an essential role in many areas of human activity and has found application branches physical science. This paper proposes a computational technique based on MC algorithms to solve Lane–Emden (LE) type equations. We analyze four LE equations arising astrophysics: the positive negative indices polytropic gas spheres, isothermal sphere, white dwarf equation. calcula...

The gravitational lensing properties of cosmological halos depend upon the mass distribution within each halo. The description of halos as nonsingular, truncated isothermal spheres, a particular solution of the isothermal Lane-Emden equation (suitably modified for Λ 6= 0), has proved to be a useful approximation for the halos which form from realistic initial conditions in a CDM universe. The n...

The profile of Navarro, Frenk, and White (the NFW profile), which was derived from the N-body simulations of cold dark-matter halos, is a strong candidate for a galaxy or cluster profile. In order to check the usability of the NFW profile as a first approximation of a galaxy model, we studied the characteristic overdensity and scale radius of galaxies by reproducing the image positions and flux...

We present multi-frequency VLBA observations of PMN J1632–0033, one of the few gravitationally lensed quasars suspected of having a central “odd” image. The central component has a different spectral index than the two bright quasar images. Therefore, either the central component is not a third image, and is instead the active nucleus of the lens galaxy, or else it is a third image whose spectr...