There is a theorem known as a Virial theorem that restricts the possible existence of non-trivial static solitary waves with scalar fields in a flat space-time with 3 or more spatial dimensions. This raises the following question: Does the analogous curved space-time version hold?. We investigate the possibility of solitons in a 4-D curved space-time with a simple model using numerical analysis...

We introduce the ISM approach, a framework for modeling and verifying reactive systems in a formal, even machine-checked, way. The framework has been developed for applications in security analysis. It is based on the notion of Interacting State Machines (ISMs), kind of high-level Input/Output Automata. The ISM framework is used to define system models and present them graphically with the Auto...

The kinematics of newly-formed star clusters are interesting both as a probe of the state of the gas clouds from which the stars form, and because they influence planet formation, stellar mass segregation, cluster disruption, and other processes controlled in part by dynamical interactions in young clusters. However, to date there have been no attempts to use simulations of star cluster formati...

Galaxy clusters are one of the largest gravitationally bound structures in universe known to scientists. By modelling how gravitational interact with each other, we can also understand its structure and dynamics. This paper is an depth study about Centaurus cluster’s galaxies’ morphology, colour, velocity distribution redshift. The Virial Theorem applied order estimate mass Cluster.

This work revisits the star formation rate (SFR) model of Krumholz and McKee, extends it to the case of a magnetized medium, and verifies it with a set of numerical simulations of driven, supersonic, magneto-hydrodynamic (MHD) turbulence, where collapsing cores are captured with accreting sink particles. The main results are: i) a new physical interpretation of the critical density for star for...

It is shown that variation of the one-particle dispersion in a universal many-body system enables us to obtain Tan's adiabatic sweep theorem and its generalization. The derivation based on Hellmann-Feynman variational for scattering length suggested our previous paper [Cherny Shanenko, Phys. Rev. E 62, 1646 (2000)]. As an example, effects spinless bosons are considered. With help theorem, we me...