Reply on the Comment cond-mat/0008209 about "Solution of Classical Stochastic One-Dimensional Many-Body Systems"

In their Comment, Park, Park and Kim claimed that the approach devised in our work Phys.Rev.Lett. {\bf 83}, 5214 (1999) reproduces the correct long-time behaviour of the density and correlation functions of the model under consideration because of the {\it irrelevance} of the quartic term. Park,Park and Kim also claimed that the approach devised in Phys.Rev.Lett. {\bf 83}, 5214 (1999) is a traditional Hartree-Fock approach. In this Reply we argue that the results obtained with our approach are in agreement (also the subdominant corrections) with previous numerical calculations and are therefore beyond traditional approximative (e.g. Hartree-Fock) schemes. Such a striking agreement cannot, in our opinion, be explained only by the {\it eventual} irrelevance of a quartic term.