Evaluation of the correlation of the drift coefficients of random nterdiffusion processes

Random processes, specifically diffusion and wave processes, as well as the random process of crossing of two counterflows are studied. A relation is obtained for the probability distribution for the crossing process for discrete and continuous distributions of the random quantities. Examples of the density distribution of a crossing process are examined. The crossing properties of Gaussian processes are studied. A great deal of attention is devoted to wave corrections to the diffusion equation. The wave equation for the evolution of the probability density function is examined, and the wave coefficient is obtained for the particular case of random counterflow processes. A method of evaluating the drift correlation coefficients for random counterflow processes is developed. Algorithms are proposed for statistical modeling of the distribution function for the crossing process: Monte Carlo numerical modeling and an analytical-statistical method. A comparative characteristic is given for both methods.