Particle pair (relative) diffusion in a field of homogeneous turbulence with generalised power-law energy spectra, $E(k)\sim k^{-p}$ for $1< p\le 3$ and $k_1\le k\le k_��$ with $k_��/k_1=10^6$, is investigated numerically using Kinematic Simulation (Kraichnan 1970, Fung et al 1992). If $��=|{\bf x_2}(t)-{\bf x}_1(t)|$ and $��_��=\sqrt{\langle��^2\rangle}$, (the angled brackets is the ensemble average over particle pairs), then we find that: (1) The pair diffusivity scales like $D_p\sim ��_��^{��_p}$ with $��_p$ obtained from the simulations such that $��^l_p1$ in the range $1

Under consideration for publication in the Journal of Fluid Mechanics, submitted 21 Feb, 2014. 16 pages. 5 figures 6 Jan 2016. This submission has been withdrawn by the author because it has been merged into arXiv:1405.3625v3