Kinetic approach to chemical reactions and inelastic transitions in a rarefied gas

Journal of Mathematical Chemistry

Volumn 26, Issue 1-3, 1999, Pages 197-219

  Groppi, M ^a   Spiga, G ^a  

^a UNIVERSITY OF PARMA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033072795     PISSN: 02599791     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1019194113816     Document Type: Article

References (21)

1. J. Banasiak, G. Frosali and G. Spiga, Asymptotic analysis for a particle transport equation with inelastic scattering in extended kinetic theory, Math. Models Methods Appl. Sci. 8 (1998) 851-874.
2. J.W. Bond, K.M. Watson and J.A. Welch, Atomic Theory of Gas Dynamics (Addison-Wesley, Reading, MA, 1965).
3. J.M. Burgers, Flow Equations for Composite Gases (Academic Press, New York, 1969).
4. C. Cercignani, The Boltzmann Equation and its Applications (Springer, New York, 1988).
5. B.C. Eu and F. Mao, Kinetic theory approach to irreversible thermodynamics of radiation and matter, Phys. A 180 (1992) 65-114.
6. J.H. Ferziger and H.G. Kaper, Mathematical Theory of Transport Processes in Gases (North-Holland, Amsterdam, 1972).
7. C.R. Garibotti and G. Spiga, Boltzmann equation for inelastic scattering, J. Phys. A: Math. Gen. 27 (1994) 2709-2717.
8. C.P. Grünfeld and E. Georgescu, On a class of kinetic equations for reacting gas mixtures, Mat. Fiz. Analiz Geom. 2 (1995) 408-435.
9. J.C. Light, J. Ross and K.E. Shuler, Rate coefficients, reaction cross sections and microscopic reversibility, in: Kinetic Processes in Gases and Plasmas, ed. A.R. Hochstim (Academic Press, New York, 1969) p. 281.
10. P. Markowich, F. Poupaud and C. Schmeiser, Diffusion approximation of nonlinear electron-phonon collision mechanisms, RAIRO Math. Models Numer. Anal. 29 (1995) 857-869.
11. J.R. Mika and J. Banasiak, Singularly Perturbed Evolution Equations with Applications to Kinetic Theory (World Scientific, Singapore, 1995).
12. M. Moreau, Formal study of a chemical reaction by Grad expansion of the Boltzmann equation, Phys. A 79 (1975) 18-38.
13. J. Oxenius, Kinetic Theory of Particles and Photons (Springer, Berlin, 1986).
14. L.S. Polak and A.V. Khachoyan, Generalization of Boltzmann's H-theorem for a reacting gas mixture, Soviet J. Chem. Phys. 2 (1985) 1474-1485.
15. G.C. Pomraning, The Equations of Radiation Hydrodynamics (Pergamon Press, Oxford, 1973).
16. J. Ross and P. Mazur, Some deductions from a formal statistical mechanical theory of chemical kinetics, J. Chem. Phys. 35 (1961) 19-28.
17. A. Rossani and G. Spiga, Kinetic theory with inelastic interactions, Transport Theory Statist. Phys. 27 (1998) 273-287.
18. A. Rossani and G. Spiga, A note on the kinetic theory of chemically reacting gases, Phys. A, in press.
19. A. Rossani, G. Spiga and R. Monaco, Kinetic theory approach for two-level atoms interacting with monochromatic photons, Mech. Res. Comm. 24 (1997) 237-242.
20. B. Shizgal and M. Karplus, Non-equilibrium contributions to the rate of reaction. Perturbation of the velocity distribution function, J. Chem. Phys. 52 (1970) 4262-4278.
21. N. Xystris and J.S. Dahler, Mass and momentum transport in dilute reacting gases, J. Chem. Phys. 68 (1978) 354-373.