A periodically expanded molecular dynamics technique for reactive hard
spheres is applied to simulate a propagation of a chemical wave front
in a closed system with a model reaction A + B --> A + A. The results
of simulations are compared with the theory based on the standard, pa
rabolic reaction-diffusion equation. It is found that a front propagat
es with a speed which is higher than the minimum stable one and that t
he speed scaled by the square root of the rate constant k is an increa
sing function of k. This effect may be explained if separated equation
s for concentration of A and for the associated diffusive flow are con
sidered. The case in which the reaction is thermally activated, is als
o studied. The influence of nonequilibrium effects on the shape of a c
oncentration profile and on the front speed are discussed.