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Relaxation of concentration perturbation in chemical kinetic systems

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Abstract

In a linear approximation, the relaxation of a concentration perturbation can be described by a matrix exponential, which can be evaluated using Jordan decomposition. In time-scale analysis, this approach has advantages when the Jacobian has degenerate eigenvalues, which may occur when the mechanism contains identical rate constants, characteristic to tropospheric chemistry and low-temperature combustion.

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References

  1. A.S. Tomlin, T. Turányi, M.J. Pilling: Low-temperature combustion and autoignition, pp. 293–437, Elsevier, Amsterdam 1997.

    Book  Google Scholar 

  2. T. Turányi, A.S. Tomlin, M.J. Pilling: J. Phys. Chem., 97, 163 (1993).

    Article  Google Scholar 

  3. S.H. Lam, D.A. Goussis: Proc. Combust. Inst., 22, 931 (1988).

    Google Scholar 

  4. U. Maas, S.B. Pope: Combust. Flame, 88, 239 (1992).

    Article  CAS  Google Scholar 

  5. T. Lu, Y. Ju, C.K. Law: Combust. Flame, 126, 1445 (2001).

    Article  CAS  Google Scholar 

  6. A.S. Tomlin, L. Whitehouse, R. Lowe, M.J. Pilling: Farad. Discuss., 120, 125 (2001).

    Article  CAS  Google Scholar 

  7. V. Prasolov: Problems and Theorems in Linear Algebra, Amer. Math. Soc., 1994.

  8. S.M. Saunders, M.E. Jenkin, R.G. Derwent, M.J. Pilling: Atmos. Chem. Phys., 3, 161 (2003).

    CAS  Google Scholar 

  9. M.E. Jenkin, S.M. Saunders, V. Wagner, M.J. Pilling: Atmos. Chem. Phys., 3, 181 (2003).

    CAS  Google Scholar 

  10. L.E. Whitehouse, A.S. Tomlin, M.J. Pilling: Atmos. Chem. Phys., 4, 2057 (2004).

    Article  CAS  Google Scholar 

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Correspondence to Tamás Turányi.

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Nagy, T., Turányi, T. Relaxation of concentration perturbation in chemical kinetic systems. React Kinet Catal Lett 96, 269–278 (2009). https://doi.org/10.1007/s11144-009-5508-6

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  • DOI: https://doi.org/10.1007/s11144-009-5508-6

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