In the present paper, we consider the influence of weak dissipative effects on the passive scalar behavior in the framework of continuum percolation approach. The renormalization method of a small parameter in continuum percolation models is reviewed. It is shown that there is a characteristic...

An integral equation describing the statistics of small clusters in a system with rare aggregation centers is considered in this paper. This equation is obtained from the probabilistic consideration of transition to cluster–cluster aggregation in the small-cluster system. Several different...

This paper considers the influence of both weak compressibility and time-dependence effects in two-dimensional random flow on the passive scalar behavior in the framework of the continuum percolation approach. It is shown that there is a characteristic velocity scale, which corresponds to the...

This paper considers the influence of drift flow and time-dependence effects on the passive scalar behavior in the framework of the percolation approach. It is suggested to modify the renormalization condition of the small parameter of the percolation model in accordance with the additional...

In the present paper we consider the functional equation describing the collisionless particle velocity distribution function f(V) in the framework of probabilistic approach. The key element of the collisionless particles description is using the waiting time distribution ψ(t). The solution of...

This paper deals with scaling laws that describe transport and correlation effects in anisotropic mediums. Diffusion approximation of correlation effects is considered in a system of perpendicular random steady flows by using the Corrsin conjecture. The correlation properties of several...