通过亚稳势鞍点的分数扩散
Fractionally diffusing passing through the saddle point of metastable potential
摘要:
研究了亚稳势场中分数布朗粒子通过鞍点的扩散问题。势垒逃逸几率与分数阶指数$α$有很大关系。当$α$相对较大时,尽管系统的有效摩擦近似为零,但性能仍会沿扩散的相反方向移动。这与标准的布朗运动非常反常。
英文摘要:
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 $α$. Properties are revealed to move reversely in the opposite direction of diffusion when $α$ 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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