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I have a problem on finding the first passage time for kinetic monte carlo model.

Suppose I have a linear kinetic model for n states:

S1<->S2<->S3<->...<->Sn

where all the rate constants k_ij for transition between any two states are known. Is there any general way to find out the analytical solution for the (probability density) of the first passage time from state 1 to any state i?

Many thanks!

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# First passage time for Kinetic Monte Carlo model

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