Random acceleration process on finite intervals under stochastic restarting. Capała, K. & Dybiec, B. Journal of Statistical Mechanics: Theory and Experiment, 2021(8):083216, IOP Publishing, 2021. ![Random acceleration process on finite intervals under stochastic restarting [link]](https://bibbase.org/img/filetypes/link.svg "link")
Paper doi abstract bibtex The escape of the randomly accelerated undamped particle from the finite interval under action of stochastic resetting is studied. The motion of such a particle is described by the full Langevin equation and the particle is characterized by the position and velocity. We compare three resetting protocols, which restarts velocity or position (partial resetting) and the whole motion (position and velocity—full resetting). Using the mean first passage time we assess efficiency of restarting protocols in facilitating or suppressing the escape kinetics. There are fundamental differences between partial resetting scenarios which restart velocity or position, as in the limit of very frequent resets only the position resetting (regardless of initial velocity) can trap the particle in the finite domain of motion. The velocity resetting or the simultaneous position and velocity restarting provide a possibility of facilitating the undamped escape kinetics.
@article{Capala_Dybiec_2021,
doi = {10.1088/1742-5468/ac1664},
url = {https://doi.org/10.1088/1742-5468/ac1664},
year = {2021},
publisher = {{IOP} Publishing},
volume = {2021},
number = {8},
pages = {083216},
author = {Capała, K. and Dybiec, B.},
title = {Random acceleration process on finite intervals under stochastic restarting},
journal = {Journal of Statistical Mechanics: Theory and Experiment},
abstract = {The escape of the randomly accelerated undamped particle from the finite interval under action of stochastic resetting is studied. The motion of such a particle is described by the full Langevin equation and the particle is characterized by the position and velocity. We compare three resetting protocols, which restarts velocity or position (partial resetting) and the whole motion (position and velocity—full resetting). Using the mean first passage time we assess efficiency of restarting protocols in facilitating or suppressing the escape kinetics. There are fundamental differences between partial resetting scenarios which restart velocity or position, as in the limit of very frequent resets only the position resetting (regardless of initial velocity) can trap the particle in the finite domain of motion. The velocity resetting or the simultaneous position and velocity restarting provide a possibility of facilitating the undamped escape kinetics.}
}
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