Introduction An exponential decay equation models many chemical and biological processes. It is used whenever the rate at which something happens is proportional to the amount which is left. Here are three examples: •When ligands dissociate from receptors, the number of molecules that dissociate in...
Moreover, the exponential time decay rate of the phase field variable χ is also obtained. Here the initial perturbation for the phase field variable χ should be small, but the initial perturbations for the density and velocity of the fluid can be arbitrarily large....
Also, the exponential decay of S0xSrx = γ c†0,γ cr,γ is readily understood since one cannot propagate one par- ticle past another without destroying the string order, so the correlation function must exponentially decay with a characteristic length set by the average interparticle spacing....
It can be shown that the exponential one-phase decay function is a solution of Equation (5). Therefore, the instant infiltration equation is rewritten, yielding the first processed variable: 𝑖𝑡(𝑡)=𝑑ℎ𝑑𝑡=Regr 𝑖𝑖𝑛𝑠𝑡−𝑚𝑒𝑎𝑠=𝑘𝑠𝑎𝑡+(𝑖0−...