DETECTION OF BROWNIAN PARTICLES (EULERIAN AND LAGRANGIAN STATISTICS OF IMPURITY PARTICLE IN ATMOSPHERE)

We study passive admixture spreading in the atmosphere considering regular ( with the wind) and stochastic motion of the particles. The probability distribution of velocities on a boundary of a given spatial region ( detector) is found for particles of a passive admixture. The connection between this probability distribution and the solution of the classical problem on the probability distribution of the coordinates and velocity of a Brownian particle at a fixed moment is determined. The dependence of the obtained probability density on the relation among the parameters of the problem under consideration is discussed. Some specific examples are presented. Potential applications of the results are in ecological and meteorological problems.