I am reading some notes and I can't understand a specif bit:(adsbygoogle = window.adsbygoogle || []).push({});

the expression of the constant k_RP (RP means Reagents->Product) is as follows (Ξ is the heavyside function and C(t) the conditional probability):

k_RP=dC(t)/dt=<Ξ_R[0]*(dΞ_P[t]/dt)>/<Ξ_R[0]>

then for the following identity:

<A(t)A(t')>=<A(0)A(t-t')>=<A(t-t')A(0)>

at the numerator of the l.h.s. of k_RP's equation, we get

<Ξ_R[0]*(dΞ_P[t]/dt)>=-<(Ξ_R[0]/dt)*dΞ_P[t]>.

What identity is that one? I have no idea where it comes from...

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# Fundamentals of Reaction Theory: reaction rate constant in the statistical ensemble

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