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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/18841
Mean exit times for free inertial stochastic processes
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We study the mean exit time of a free inertial random process from a region in space. The acceleration alternatively takes the values +[ital a] and [minus][ital a] for random periods of time governed by a common distribution [psi]([ital t]). The mean exit time satisfies an integral equation that reduces to a partial differential equation if the random acceleration is Markovian. Some qualitative features of the behavior of the system are discussed and checked by simulations. Among these features, the most striking is the discontinuity of the mean exit time as a function of the initial conditions.
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PORRÀ I ROVIRA, Josep Maria, MASOLIVER, Jaume and LINDENBERG, Katja. Mean exit times for free inertial stochastic processes. Physical Review E. 1994. Vol. 50, num. 3, pags. 1985-1993. ISSN 1063-651X. [consulted: 17 of June of 2026]. Available at: https://hdl.handle.net/2445/18841