On inelastic reactive collisions in kinetic theory of chemically reacting gas mixtures

A solution of the Boltzmann equation in the presence of inelastic collisions

“…Since the publication of this pioneering paper, a substantial number of papers have been published, in which various models of inelastic collision have been considered. Without making any attempt to present an extensive list of these papers we mention [33,14,9,4,5,3,8,10,21,30,17,15,11]. This list does not include papers where the models for collisions of specific atoms and molecules have been considered, such as H 2 -H 2 collisions [35], N-N 2 collisions [12] and H-N 2 collisions [31].…”

Master equation for a bistable chemical system with perturbed particle velocity distribution function

“…This phenomenon is due to the selectivity of the reaction, which preferentially involves the more energetic particles, able to pass the activation barrier. Such a perturbation, later referred to as a nonequilibrium effect, can be determined for a dilute gaseous system using a perturbative solution of the Boltzmann equation [5][6][7][8][9]. The nonequilibrium effect is important in the physics of plasmas [10,11], in particular in hypersonic reentry into the earth's atmosphere [12], but at small scales as well, for example in homogeneous condensation related to nanofabrication [13].…”

Analysis of the Reaction Rate Coefficients for Slow Bimolecular Chemical Reactions

“…Even the slightest grazing collision leads to a chemical reaction. In a more realistic scenario, a reaction occurs only when the relative translational energy in the direction of the line joining the centers of the molecules is larger than the activation energy [11,31,34]. In this case the geometry of the collision plays a fundamental role in controlling the occurrence of a reaction.…”

“…Another important issue in applications of the Chapman-Enskog to the reactive Boltzmann equation is the distortion of the Maxwellian distribution functions by the reaction heat [2,14,26,31], which makes the reaction rate coefficients sensitive to the reaction heat.…”