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Title: An approach to generate deterministic Brownian motion
Author: Huerta-Cuellar, G.
Jimenez-Lopez, E.
Campos-Canton, E.
Pisarchik, A.N.
Issue Date: 2014
Abstract: 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. © 2014 Elsevier B.V.
Appears in Collections:Producción científica UdeG (prueba)

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