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q-Exponential Structure of Arbitrary-Order Reaction Kinetics

Robert K. Niven
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Abstract

The rate equation for an arbitrary mth order growth or decay reaction can be expressed in terms of the q-exponential function, with q equal to m. The analysis suggests that a wide variety of reaction rate (kinetic) processes and models, in chemistry, biology/ecology, unit operations and contaminant transport, are amenable to analysis by Tsallis' non-extensive statistical mechanics. A number of q-analogues of common kinetic mathematical models are proposed, and illustrated by several examples.

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Robert K. Niven. 2005-05-26. q-Exponential Structure of Arbitrary-Order Reaction Kinetics. https://arxiv.org/abs/cond-mat/0505634

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