The flashing Brownian ratchet and Parrondo’s paradox
A Brownian ratchet is a one-dimensional diffusion process that drifts towards a minimum of a periodic asymmetric sawtooth potential. A flashing Brownian ratchet is a process that alternates between two regimes, a one-dimensional Brownian motion and a Brownian ratchet, producing directed motion. Thes...
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| Format: | Article |
| Language: | English |
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The Royal Society
2018-01-01
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| Series: | Royal Society Open Science |
| Subjects: | |
| Online Access: | https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.171685 |
| _version_ | 1819007965541171200 |
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| author | S. N. Ethier Jiyeon Lee |
| author_facet | S. N. Ethier Jiyeon Lee |
| author_sort | S. N. Ethier |
| collection | DOAJ |
| description | A Brownian ratchet is a one-dimensional diffusion process that drifts towards a minimum of a periodic asymmetric sawtooth potential. A flashing Brownian ratchet is a process that alternates between two regimes, a one-dimensional Brownian motion and a Brownian ratchet, producing directed motion. These processes have been of interest to physicists and biologists for nearly 25 years. The flashing Brownian ratchet is the process that motivated Parrondo’s paradox, in which two fair games of chance, when alternated, produce a winning game. Parrondo’s games are relatively simple, being discrete in time and space. The flashing Brownian ratchet is rather more complicated. We show how one can study the latter process numerically using a random walk approximation. |
| first_indexed | 2024-12-21T00:32:58Z |
| format | Article |
| id | doaj.art-f45fe8f80cd94676aa08c7d98df2a67d |
| institution | Directory Open Access Journal |
| issn | 2054-5703 |
| language | English |
| last_indexed | 2024-12-21T00:32:58Z |
| publishDate | 2018-01-01 |
| publisher | The Royal Society |
| record_format | Article |
| series | Royal Society Open Science |
| spelling | doaj.art-f45fe8f80cd94676aa08c7d98df2a67d2022-12-21T19:21:51ZengThe Royal SocietyRoyal Society Open Science2054-57032018-01-015110.1098/rsos.171685171685The flashing Brownian ratchet and Parrondo’s paradoxS. N. EthierJiyeon LeeA Brownian ratchet is a one-dimensional diffusion process that drifts towards a minimum of a periodic asymmetric sawtooth potential. A flashing Brownian ratchet is a process that alternates between two regimes, a one-dimensional Brownian motion and a Brownian ratchet, producing directed motion. These processes have been of interest to physicists and biologists for nearly 25 years. The flashing Brownian ratchet is the process that motivated Parrondo’s paradox, in which two fair games of chance, when alternated, produce a winning game. Parrondo’s games are relatively simple, being discrete in time and space. The flashing Brownian ratchet is rather more complicated. We show how one can study the latter process numerically using a random walk approximation.https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.171685brownian motionbrownian ratchetflashing brownian ratchetrandom walkparrondo's paradox |
| spellingShingle | S. N. Ethier Jiyeon Lee The flashing Brownian ratchet and Parrondo’s paradox Royal Society Open Science brownian motion brownian ratchet flashing brownian ratchet random walk parrondo's paradox |
| title | The flashing Brownian ratchet and Parrondo’s paradox |
| title_full | The flashing Brownian ratchet and Parrondo’s paradox |
| title_fullStr | The flashing Brownian ratchet and Parrondo’s paradox |
| title_full_unstemmed | The flashing Brownian ratchet and Parrondo’s paradox |
| title_short | The flashing Brownian ratchet and Parrondo’s paradox |
| title_sort | flashing brownian ratchet and parrondo s paradox |
| topic | brownian motion brownian ratchet flashing brownian ratchet random walk parrondo's paradox |
| url | https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.171685 |
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