abstract

Blast-wave model is applied to describe the Hanbury-Brown–Twiss (HBT) radii of pionic systems produced in \(pp\) collisions at the LHC energies.

abstract

We study the BPS Skyrme model with potentials breaking the isospin symmetry and analyse how properties of exact solitonic solutions depend on a form of the isospin breaking potential. In the case of the strong symmetry breaking, a new topologic structure is observed which enables us to decompose a BPS skyrmion into a lower dimensional defect localised on a brane (kink). We investigate some thermodynamical properties of such solitons as well as the role of the symmetry breaking potential in the resulting mean-field equation of state.

abstract

We study impulsively generated magnetoacoustic-gravity waves in the solar atmosphere permitted by diverged with height magnetic field lines which mimic magnetic field configuration of a flux-tube. We aim to find wave periods of magnetoacoustic-gravity waves along vertical and horizontal directions of the magnetic structure. Magnetohydrodynamic equations are solved numerically, there is used the Fourier analysis of temporal wave profiles, and there are performed some parametric studies of wave periods of magnetoacoustic-gravity waves as well as our numerical data are compared with the recent observational findings. The results of our parametric studies show that wave periods vary along vertical and horizontal directions. The numerical findings are in an agreement with the recent observational data for the wave periods dependence along vertical and horizontal directions in the sunspot, made for the wavelength \(\lambda =1700\) Å . Our results form a basis for a construction of the seismological model, which determines the wave periods and their spatial variation in the sunspot.

abstract

The entanglement of pure states of the \(1p0f\)-shell nucleon pairs has been studied. The Slater decomposition theorem has been used to verify if any pure state of a nucleon pair is an entangled state. The von Neumann entropy of the partial density matrix has been employed to quantify the entanglement of the \(1p0f\)-shell nucleon pairs. Results of calculations have evidenced that the spin \(J\) and isospin \(T=0\) states are strongly entangled. In the spin \(J\) and isospin \(T=1\) states, proton–neutron pairs are more entangled than proton–proton and neutron–neutron pairs.

abstract

In this paper, a new chaotic system with three nonlinear terms and six equilibria is presented. Of particular interest is that the new system has various types of multiple coexisting attractors with respect to different parameters and initial values. The existence of two butterfly chaotic attractors in the system is determined by bifurcation diagrams, Lyapunov exponents and phase portraits. Moreover, the system displays five attractors with either two strange attractors and three limit cycles or one strange attractor and four limit cycles for the same parameter values.

abstract

Social networks are collaboration of individual entities where propagation of information, disease or ideas could take place because of the interaction between the entities. In such type of networks, it is often observed that propagation starts from a few unknown nodes and spreads through the whole network. However, propagation of a malicious information or a disease is often not desired and tried to be restricted to as few nodes as possible, using some external interventions. Inoculation is one such strategy, where few nodes are barred from further communication in order to restrict the spread. Such inoculations are costly, as they could require actions such as vaccination or disruption of normal operation of a node. Hence, we have minimization objective on both the parameters the final number of affected nodes and the number of inoculations. For such purpose, centrality measures, that rank the nodes according to some importance, are often used in identifying the nodes to be inoculated. Such measures mostly require the topology of the whole network in order to compute the centrality of the nodes. We propose a new centrality measure that requires information only on the neighboring nodes and can work in a distributed fashion depending upon the local information, but can also be used in centralized global inoculations. We empirically show that the centrality outperforms the existing ones in minimizing the spread in both the strategies.