We consider here the A + B --> 0 reaction between particles that diffu
se, interact through short-range forces, and react on contact. In a pl
ausible approximation the reaction can be described through a nonlinea
r diffusion equation, from which the scaling behavior of the respectiv
e A and B concentrations follows. We focus here on steady particle gen
eration and obtain the exponents that govern the concentration's growt
h. Through explicit Monte Carlo simulations of the underlying stochast
ic process we obtain directly these exponents; furthermore we show tha
t the assumption of particle segregation in clusters is correct, by co
mputing the correlation length.