1306.2026 (Sumiyoshi Abe)

Variational principle for fractional kinetics and Lévy Ansatz    [PDF]

Sumiyoshi Abe

The variational principle is developed for fractional kinetics based on the auxiliary field formalism. It is applied to the Fokker-Planck equation with spatio-temporal fractionality, and a variational solution is obtained with the help of the L\'evy Ansatz. It is shown how the whole range from subdiffusion to superdiffusion is realized by the variational solution, as a competing effect between long waiting time and long jump. Motion of the center of the probability distribution is also analyzed in the case of a periodic drift.

View original: http://arxiv.org/abs/1306.2026