# q-Exponential Structure of Arbitrary-Order Reaction Kinetics

Source: [q-Exponential Structure of Arbitrary-Order Reaction Kinetics](<https://www.sota2.com/research/paper/68fa1e777a2b558e293228af>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-23T15:10:39.166Z

Authors: Robert K. Niven

Published: 2005-05-26T03:54:56.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0505634>)

[PDF](<https://arxiv.org/pdf/cond-mat/0505634.pdf>)