Reply to the Comment on``Scaling Laws for a System with Long--Range Interactions within Tsallis Statistics''

R. Salazar, R. Toral

Published 2000-05-26Version 1

The fact that mean field theory is appropriate to describe an Ising model with long-range interactions has been already shown by Cannas and Tamarit. Although not explicited in our Letter, we have used periodic boundary conditions in all our simulations, such that the maximum possible distance between two lattice sites is L/2. We make no specific comments about the validity (or lack of validity) of Boltzmann-Gibbs statistical mechanics to describe long-range systems. Our paper does nothing but to compare the scaling functions derived from Boltzman-Gibbs statistics from those derived from the use of Tsallis entropy.