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arXiv · 0808.2207

Asymptotic behavior of the mean square displacement of the Brownian parametric oscillator near the singular point

Tohru Tashiro
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Abstract

A parametric oscillator with damping driven by white noise is studied. The mean square displacement (MSD) in the long-time limit is derived analytically for the case that the static force vanishes, which was not treated in the past work \cite{tashiro07}. The formula is asymptotic but is applicable to a general periodic function. On the basis of this formula, some periodic functions reducing MSD remarkably are proposed.

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Tohru Tashiro. 2009-03-02. Asymptotic behavior of the mean square displacement of the Brownian parametric oscillator near the singular point. https://doi.org/10.1088/1751-8113%2F42%2F16%2F165002

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