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arXiv · 1502.06183

Fractionally diffusing passing through the saddle point of metastable potential

Chun-Yang Wang·Cui-Feng Sun·Hong Zhang·Xue-Mei Zong·Ming Yi
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Abstract

The diffusion of a fractional Brownian particle passing over the saddle point is studied in the field of the metastable potential. The barrier escaping probability is found to be greatly related to the fractional exponent $\alpha$. Properties are revealed to move reversely in the opposite direction of diffusion when $\alpha$ is relatively large despite of the zero-approximating effective friction of the system. This is very anomalous to the standard Brownian motion.

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Chun-Yang Wang, Cui-Feng Sun, Hong Zhang, Xue-Mei Zong, Ming Yi. 2015-02-22. Fractionally diffusing passing through the saddle point of metastable potential. https://arxiv.org/abs/1502.06183

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