Four-thirds law of energy and magnetic helicity in electron and Hall magnetohydrodynamic fluids

In this paper, by exploiting the feature of the Hall term, we establish some local version four-thirds laws for the dissipation rates of energy and magnetic helicity in both electron and Hall magnetohydrodynamic equations in the sense of Duchon-Robert type. New 4/3 laws for the dissipation rates of magnetic helicity in these systems are first observed and four-thirds law involving the dissipation rates of energy for the Hall magnetohydrodynamic equations generalizes the work of Galtier.Comment: 19 page

Transboundary air mass transport from Kyzylkum desert

The NOAA HYSPLIT_4 trajectory model and the NCEP/NCAR reanalysis have calculated the trajectories of air particles transport from the Kyzylkum desert (Central Asia). The average annual and seasonal (winter, spring, summer and autumn) was calculated for the probability of transport to different remote regions. The probability of transport only to the mixed layer was calculated. The peculiarities of large-scale atmospheric circulation are analyzed that facilitate the transport of air masses from the Kyzylkum desert to some regions of Russia and the south of Iran