J. Fort et As. Cukrowski, APPLICATION OF INFORMATION STATISTICAL-THEORY TO THE DESCRIPTION OF THE EFFECT OF HEAT-CONDUCTION ON THE CHEMICAL-REACTION RATE IN GASES, ACT PHY P B, 29(6), 1998, pp. 1633-1646
The effect of the heat flux on the rate of chemical reaction in dilute
gases is shown to be important for reactions characterized by high ac
tivation energies and in the presence of very large temperature gradie
nts. This effect, obtained from the second-order terms in the distribu
tion function (similar to those obtained in the Burnett approximation
to the solution of the Boltzmann equation), is derived on the basis of
information theory. It is shown that the analytical results describin
g. the effect are simpler if the kinetic definition for the nonequilib
rium temperature is introduced than if the thermodynamic definition is
introduced. The numerical results are nearly the same for both defini
tions.