Paraphrase the following text using more academic and scientific language Use a neutral tone and avoid repetitions of words and phrases：Eqrefprob shows that the momentum diffusion can be accumulated b

The equation denoted as Eq.(\ref{prob}) indicates that the process of phase transformation of $A(n',n)$ can lead to the accumulation of momentum diffusion. In this equation, $\epsilon _{ps}$ denotes the difference between $\epsilon _p$ and $\epsilon _s$. It is worth noting that this equation pertains to the survival amplitude and highlights how the autocorrelation characteristics of colored noise can impact the momentum diffusion.