Theory of Translocation Kinetics

Let us imagine many translocation events, each with a particular trajectory of m(t). In different realizations of the translocation process, the number of 

Expanding the exponential in Equation 10.12 and combining with Equations 10.13 and 10.14, we get 

Substituting Equation 10.15 into Equation 10.9, we get the continuity equation in the space of the translocation variable m as 

If all monomers of the chain are the same, as in a homopolymer, with uniform diffusion coefficient, km is independent of m and the Fokker-Planck equation for the translocation kinetics becomes 

Analogous to the derivation in Section 8.4, the flux equation (Equation 10.20) can be rearranged as (Equation 8.37) 

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