Stochastic diffusion coefficients in 1D semi-infinite domain with absorbing boundary lead to certain absorption, enhanced early arrival efficiency over ensemble average, and for ergodic cases diverging mean FPT with convergence to Lévy-Smirnov distribution.
Redner,A Guide to First Passage Processes(Cam- bridge University Press, Cambridge, 2001)
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First passage time properties of diffusion with a broad class of stochastic diffusion coefficients
Stochastic diffusion coefficients in 1D semi-infinite domain with absorbing boundary lead to certain absorption, enhanced early arrival efficiency over ensemble average, and for ergodic cases diverging mean FPT with convergence to Lévy-Smirnov distribution.