Fractionally diffusing passing through the saddle point of metastable potential
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...
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Main Authors | , , , , |
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Format | Journal Article |
Language | English |
Published |
22.02.2015
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Subjects | |
Online Access | Get full text |
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Summary: | 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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DOI: | 10.48550/arxiv.1502.06183 |