Effects of reinjection on the scaling property of intermittency

Abstract

We study the effect of the reinjection probability distribution (RPD) on the scaling property of intermittency via the renormalization group approach. When the lower bound of reinjection is below the tangent point, the critical exponent has the well known form of (z - 1)/z independent of the RPD. On the other hand, when the lower bound of reinjection is at the tangent point, the critical exponent is (z + gamma - 2)/z if the RPD is of an algebraic form with exponent gamma and is (z - 1)/z if the RPD is fixed at the tangent point. The results are confirmed by numerical simulations.