Algorithms for Brownian first passage time estimation

Details Algorithms for Brownian first passage time estimation Algorithms for Brownian first passage time estimation

2009-04-27

arxiv.org/abs/0904.4219v1

Phys. Rev. E 80, 036706 (2009)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevE.80.036706

A class of algorithms in discrete space and continuous time for Brownian first passage time estimation is considered. A simple algorithm is derived that yields exact mean first passage times (MFPT) for linear potentials in one dimension, regardless of the lattice spacing. When applied to nonlinear potentials and/or higher spatial dimensions, numerical evidence suggests that this algorithm yields MFPT estimates that either outperform or rival Langevin-based (discrete time, continuous space) estimates.

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