We study the dynamic scaling properties of an aggregation model in which particles obey both diffusive and driven ballistic dynamics. The diffusion constant and the velocity of a cluster of size s follow D(s) approximately s(gamma) and v(s) approximately s(delta), respectively. We determine the dynamic exponent and the phase diagram for the asymptotic aggregation behavior in one dimension in th...

It is known that probability density functions and probability mass functions can usually be calculated quite easily by numerically inverting their transforms (Laplace transforms and generating functions, respectively) with the Fourier-series method, but other more general functions can be substantially more difficult to invert, because the aliasing and roundoff errors tend to be more difficult...

DIS data from HERA show a striking regularity as σγ p is a function of the ratio τ = Q/Qs(x) only. The scaling function shows a break at τ ≈ 1, which has been taken as an indication for saturation. However, besides saturation also the transition between dominance of k⊥-ordered (DGLAP) and k⊥-non-ordered (BFKL) evolution contributes to a break around this value of τ , as well as the suppression ...

We consider the problem of gravitational clustering in a D-dimensional expanding universe and derive scaling relations connecting the exact mean two-point correlation function with the linear mean correlation function, in the quasilinear and nonlinear regimes, using the standard paradigms of scale-invariant radial collapse and stable clustering. We show that the existence of scaling laws is a g...