Effects of target anisotropy on harmonic measure and mean first-passage time

Abstract We investigate the influence of target anisotropy on two characteristics diffusion-controlled reactions: harmonic measure density and mean first-passage time. First, we compute volume-averaged prolate oblate spheroidal targets inside a confining domain in three dimensions. This allows us to accessibility points Brownian motion. In particular, study effects confinement anisotropy. The limits segment disk are also discussed. Second, derive an explicit expression time such analyze effect illustrate accuracy capacitance approximation for small targets.