Summary
For a free Brownian particle whose dynamics are included by a generalized diffusion equation that retains some short-time inertial behaviour, an exact analytical result for the mean first-passage time distribution is derived. The more familiar result for the mean first-passage time in the overdamped regime, where the inertial effects are absent, is recovered from the new expression.
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References
Das A. K.,J. Appl. Phys.,70 (1991) 1355.
Marciak-Kozlowska J.,J. Phys. Chem. Solids,55 (1994) 721.
Puska M. J. andNieminen R. M.,Rev. Mod. Phys.,66 (1994) 841.
Hansen E. R.,A Table of Series and Products (Prentice-Hall, Inc.) 1975, p. 240.
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Das, A.K. The first-passage problem with a non-Fickian diffusion equation. Nuov Cim B 110, 1307–1310 (1995). https://doi.org/10.1007/BF02723114
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DOI: https://doi.org/10.1007/BF02723114