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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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