Strange behavior of a passive scalar in a linear velocity field - art. no.046305

Damping (or growth) rates of a typical realization, mean-field and high-ord er correlation functions of a passive scalar (e.g., a number density of par ticles) advected by a linear velocity fields are estimated. It is shown tha t all statistical moments higher than the first moment and a typical realiz ation of a passive scalar without an external pumping decay for both lamina r and random incompressible linear velocity fields. Strong compressibility of a laminar linear velocity field can result in a growth of a typical real ization and the high-order moments of a passive scalar. It is demonstrated that for a laminar compressible linear velocity field the flux of particles from the infinity does not vanish and the total number of particles is not conserved. For a random compressible linear velocity held a typical realiz ation decays whereas the high-order moments of a passive scalar can grow. C omparison of the obtained results with those for dynamics of a passive scal ar advected by a homogeneous isotropic and compressible turbulent flow with a given longitudinal two-point correlation function F=1-r(2) is performed (where r is the distance between two points measured in the units of the ma ximum scale of turbulent motions).