Situation 1 Mean Exit Time for Charged Species

7 Situation 1 Mean Exit Time for Charged Species 

The Slice simulation package relies on generating exit times from the centre of each overlapping slice and the respective probability of exit at either the upper or lower ends of the slice. In this section the generation of the mean exit time is presented which extends the functionality of Slice for ionic systems. The time dependent diffusion equation for charged species is known to be 

Equation (4.148) can be directly integrated using the integrating factor 

Integrating Eq. (4.149) using the required boundary conditions finally yields an expression for the mean exit time as 

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