Universality class for a one-dimensional evolution model

We present numerical evidence that avalanche dynamics in the evolution model has the same universality class as the diffusion equation partial derivative(t)p = x(-alpha)partial derivative(xx)p + upsilon x(-alpha-1)partial derivative(x)p. Numerically we measure the exponent alpha and the drift upsilon and, using the relations provided by the theory of the diffusion equation, we compute the avalanche critical exponent tau and the mass dimension exponent D. The computed values agree; with the previous numerical results.