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http://cio.repositorioinstitucional.mx/jspui/handle/1002/657| An Approach to Generate Deterministic Brownian Motion | |
| GUILLERMO HUERTA CUELLAR Eric Campos Cantón Alexander Pisarchik | |
| Acceso Abierto | |
| Atribución-NoComercial-SinDerivadas | |
| 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. | |
| 18-01-2014 | |
| Artículo | |
| CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA | |
| Aparece en las colecciones: | Articulos Arbitrados 2014 |
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| Fichero | Tamaño | Formato | |
|---|---|---|---|
| An approach to generate deterministic Brownian, Alexander P.pdf | 2.56 MB | Adobe PDF | Visualizar/Abrir |