A. Lemarchand et B. Nowakowski, Macroscopic effects of the perturbation of the particle velocity distribution in a trigger wave, PHYS REV E, 62(3), 2000, pp. 3156-3166
Departure from the equilibrium particle velocity distribution induced by a
chemical reaction is studied in an inhomogeneous chemical bistable system i
n which a trigger wave can propagate. These nonequilibrium effects influenc
e the speed and shape of the trigger wave propagating between the two stabl
e stationary states. In contrast to the Fisher front, the discretization of
the variables and the internal fluctuations do not sensitively modify the
macroscopic properties of the trigger wave. Analytical results deduced from
the Boltzmann equation agree well with microscopic simulations using Bird'
s method. Both approaches lend to large relative corrections to the front s
peed, in particular for parameter values close to that corresponding to a s
tationary interface between the two stable states.