| dc.creator | GUILLERMO HUERTA CUELLAR | |
| dc.creator | Eric Campos Cantón | |
| dc.creator | Alexander Pisarchik | |
| dc.date | 2014-01-18 | |
| dc.date.accessioned | 2022-10-12T19:46:21Z | |
| dc.date.available | 2022-10-12T19:46:21Z | |
| dc.identifier | http://cio.repositorioinstitucional.mx/jspui/handle/1002/657 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4121640 | |
| dc.description | We propose an approach for generation of deterministic Brownian motion. By adding an additional degree of freedom to the Langevin equation and transforming it into a system of three linear differential equations, we determine the position of switching surfaces, which act as a multi-well potential with a short fluctuation escape time. Although the model is based on the Langevin equation, the final system does not contain a stochastic term, and therefore the obtained motion is deterministic. Nevertheless, the system behavior exhibits important characteristic properties of Brownian motion, namely, a linear growth in time of the mean square displacement, a Gaussian distribution, and a −2 power law of the frequency spectrum. Furthermore, we use the detrended fluctuation analysis to prove the Brownian character of this motion. | |
| dc.format | application/pdf | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/4.0 | |
| dc.subject | info:eu-repo/classification/cti/1 | |
| dc.title | An Approach to Generate Deterministic Brownian Motion | |
| dc.type | info:eu-repo/semantics/article | |
