Fractionally diffusing passing through the saddle point of metastable potential

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 $α$. 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.