Fractional behavior in multidimensional Hamiltonian systems describing reactions.

The fractional behavior is presented for a minimal Hamiltonian system of three degrees of freedom which describes reaction processes. The model has a double-well potential where the Arnold web within the well is nonuniform. The survival probability within the well exhibits power law decay in addition to exponential decay.

Fractional behavior in nonergodic reaction processes of isomerization.

We present numerical evidence of fractional behavior in reactions for a prototype model of three-degree-of-freedom isomerization. The survival probability in the well exhibits two distinct ranges of time scales: one where it decreases with a power law, and the other where it decreases exponentially. Trajectories corresponding to power law decays exhibit 1/f spectra and subdiffusion in action space, and those with exponential decays exhibit Lorentzian spectra and normal diffusion.