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We demonstrate that the source to target mean first passage time (MFPT) isapproximately given by the potential difference of an electrostatic problemwhich shows that the MFPT scales like the resistance between the target and adistant shell. This analogy allows the asymmetry of the MFPT on non uniformlattices to be incorporated and provides a number of useful insights. Forexample, on transient lattices, the MFPT converges exactly to the product ofthe mass and the site dependent resistance between the target and a shell atinfinity.

Electrostatic approximation of source-to-target mean first passage times on lattices