The dispersion of inertial particles continuously emitted from a point source is analytically investigated in the limit of small inertia. Our focus is on the evolution equation of the particle joint probability density function p(x,v, t), x and v being the particle position and velocity, respectively. For finite inertia, position and velocity variables are coupled, with the result that p(x,v, t...

Reactive power dispatch, which may have many local optima, is an important and challenging task in the operation and control of electric power system. This paper presents a Selfadapti ve Differential Evolution hybrid Particle Swarm (SaDEPS) optimization algorithm for optimal reactive power dispatch problem. In this method, each particle is updated by a randomly selected strategy from a candidat...

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We consider the asymptotic evolution of a relativistic spin-1 2 particle. i.e. a particle whose wavefunction satisfies the Dirac equation with external static potential. We prove that the probability for the particle crossing a (detector) surface converges to the probability , that the direction of the momentum of the particle lies within the solid angle defined by the (detector) surface, as th...

We study the evolution of a many-particle system whose wave function obeys the N -body Schrödinger equation under Bose symmetry. The system Hamiltonian describes pairwise particle interactions in the absence of an external potential. We derive apriori dispersive estimates that express the overall repulsive nature of the particle interactions. These estimates hold for a wide class of two-body in...

This article presents a fuzzy self-adaptive particle swarm optimization (FSAPSO) learning algorithm to extract a near optimum codebook of vector quantization (VQ) for carrying on image compression. The fuzzy self-adaptive particle swarm optimization vector quantization (FSAPSOVQ) learning schemes, combined advantages of the fuzzy inference method (FIM), the simple VQ concept and the efficient s...

Integrated treatment planning for cancer patients has high importance in intensity modulated radiation therapy (IMRT). Direct aperture optimization (DAO) is one of the prominent approaches used in recent years to attain this goal. Considering a set of beam directions, DAO is an integrated approach to optimize the intensity and leaf position of apertures in each direction. In this paper, first, ...

We study the motion of a heavy tracer particle weakly coupled to a dense interacting Bose gas exhibiting Bose-Einstein condensation. In the so-called mean-field limit, the dynamics of this system approaches one determined by nonlinear Hamiltonian evolution equations. We derive the effective dynamics of the tracer particle, which is described by a non-linear integro-differential equation with me...

Of the light nuclides observed in the universe today, D, He, He, and Li are relics from its early evolution. The primordial abundances of these relics, produced via Big Bang Nucleosynthesis (BBN) during the first half hour of the evolution of the universe provide a unique window on Physics and Cosmology at redshifts ∼ 10. Comparing the BBN-predicted abundances with those inferred from observati...

We propose a stochastic particle model in (1+1)–dimensions, with one dimension corresponding to rapidity and the other one to the transverse size of a dipole in QCD, which mimics high–energy evolution and scattering in QCD in the presence of both saturation and particle–number fluctuations, and hence of Pomeron loops. The model evolves via non–linear particle splitting, with a non–local splitti...