deletions | additions       diff --git a/Abstract.tex b/Abstract.tex  index 805a5c3..8fe3f7a 100644  --- a/Abstract.tex  +++ b/Abstract.tex 
...
% The ability to estimate Describing disordered kinetic processes with phenomenological  rate coefficients can determine laws motivates  the predictive fidelity definition  of kinetic phenomena.  % Rate coefficients can fluctuate dynamically and statically in irreversible decay kinetics, making one fluctuating  rate coefficient not sufficient in describing decay processes.  % To address coefficients. The primary focus using  this issue approach has been on first-order rate laws for irreversible decay, though higher-order kinetics may also be disordered. Here  we presenta theory...  % Application of this  theory to ... shows ...  % We present the ...  Rate coefficients can fluctuate dynamically and statically in for disordered  irreversible decaykinetics, making one rate coefficient not sufficient in describing decay processes. In first order irreversible decay, it has been shown  thatonly when the statistical length squared  is equal to the divergence, higher than first order, $A^n\to \textrm{products}$. The central result is an inequality for time-integrated rate coefficient (squared) and  the time-integrated  rate coefficient is constant. We present new squared. Application of this  theoryusing the statistical length squared and divergence by extending it  to higher orders of irreversible decay. We find that not only does empirical models for disordered kinetics shows  this inequality work in first order irreverisble decay, but works measures the variation  in any irreversible decay regardless rate coefficients for this class  of reaction order. kinetic processes. Traditional kinetics is valid only when the equality holds.