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\section{Introduction}  Rates are a way to infer the mechanism of kinetic processes, such as chemical reactions. They are often assumed to obey the empirical mass-action rate laws, for example, when the reaction system is homogeneous with uniform concentration(s) throughout. Heterogeneity Deviations from traditional rate laws are possible when the system is heterogeneous  and there are  fluctuations in structure, energetics, or concentrations can cause deviations from traditional rate laws. concentrations.  When traditional kinetics breaks kinetic descriptions break  down [insert citation], the process is statically and/or dynamically disorderedkinetics  [insert Zwanzig citation], and it is necessary to replace the rate constant in the rate law equation  with a time-dependent rate coefficient. Measuring the variation of time-dependent rate coefficients is a means of quantifying the fidelity of a rate coefficient and rate law. In our previous work a theory was developed for analyzing first order irreversible decay kinetics through an inequality[insert citation]. The usefulness of this inequality is through its ability to quantify disorder, with the unique property of becoming an equality only when the system is disorder free, and therefore described by chemical kinetics in its classical formulation. The next problem that should be addressed is that of higher order kinetics, what if the physical systems one wishes to understand are more complex kinetic schemes, they would require a modified theoretical framework for analysis, but should and can be addressed. To motivate this type of development systems such as...... are all known to proceed through higher ordered kinetics, and all of these systems possess unique and interesting applications, therefore a more complete kinetics description of them should be pursued[insert citations].