BACKGROUND Nanoparticles in contact with biological fluids interact with proteins and other biomolecules, thus forming a dynamic corona whose composition varies over time due to continuous protein association and dissociation events. Eventually equilibrium is reached, at which point the continued exchange will not affect the composition of the corona. RESULTS We developed a simple and effecti...

We develop a model of the fluctuation dynamo in which the magnetic field is confined to thin flux ropes advected by a multiscale model of turbulence. Magnetic dissipation occurs only via reconnection of the flux ropes. This model can be viewed as an implementation of the asymptotic limit R_{m}-->infinity for a continuous magnetic field, where magnetic dissipation is strongly localized to small ...

We study the limit shape of successive coronas of a tiling, which models the growth of crystals. We define basic terminologies and discuss the existence and uniqueness of corona limits, and then prove that corona limits are completely characterized by directional speeds. As a result, we show that the corona limit of a periodic tiling is a convex polyhedron which is symmetric with respect to the...

Corona discharges exist in a variety of forms (streamer and diffuse, steady and pulsed) and have multi-scale nature (in both space and time). High spatial resolution is required to analyze ionization fronts, streamers and Trichel pulses observed in corona discharges. We present multi-dimensional simulations of corona and glow discharges with adaptive Cartesian mesh using fluid models. Effects o...

Abstract. A new approach of the Polarity Effect in connection to the Corona Current and the Ground Effect in small rod-plate and rod-rod air gaps is presented. The influence of the polarity of the applied voltage to the corona onset voltage or the breakdown voltage of small rod-plate and rod-rod air gaps is investigated. The influence of the grounding of one of the electrodes, to the field dist...

The hard X-ray emission of active galactic nuclei (AGN) is believed to originate from the hot coronae above the cold accretion discs. The hard X-ray spectral index is found to be correlated with the Eddington ratio Lbol/LEdd, and the hard X-ray bolometric correction factor Lbol/LX,2−10keV increases with the Eddington ratio. The Compton reflection is also found to be correlated with the hard X-r...

For p ∈ (0, 1), let Q p be the subspace consisting of Möbius bounded functions in the Dirichlet-type space. Based on the study of the multipliers in Q p , we establish the corona theorem for Q p .

This paper deals with the numerical modelling of corona discharges induced by electrohydrodynamic actuators. A specific numerical method is proposed and discussed to compute the multiscale nature observed in the modelling of corona discharges. The idea consists in a domain decomposition of the computational domain where each subdomain is described with a specific modelling well adapted to the p...

let $g=(v,e)$ be a‎ ‎simple graph of order $n$ and size $m$‎. ‎an $r$-matching of $g$ is ‎a set of $r$ edges of $g$ which no two of them have common vertex‎. ‎the hosoya index $z(g)$ of a graph $g$ is defined as the total‎ ‎number of its matchings‎. ‎an independent set of $g$ is a set of‎ ‎vertices where no two vertices are adjacent‎. ‎the ‎merrifield-simmons index of $g$ is defined as the tota...

Temperature inversions occur in nature, e.g., in the solar corona and in interstellar molecular clouds: Somewhat counterintuitively, denser parts of the system are colder than dilute ones. We propose a simple and appealing way to spontaneously generate temperature inversions in systems with long-range interactions, by preparing them in inhomogeneous thermal equilibrium states and then applying ...