论文信息 - Langevin approach to fractional diffusion equations including inertial effects.

Langevin approach to fractional diffusion equations including inertial effects.

In recent years, several fractional generalizations of the usual Kramers-Fokker-Planck equation have been presented. Using an idea of Fogedby (Fogedby, H. C. Phys. Rev. E 1994, 50, 041103), we show how these equations are related to Langevin equations via the procedure of subordination.

F. Jenko | R. Friedrich | D. Kleinhans | S. Eule

[1] I. Sokolov,et al. Multi-point distribution function for the continuous time random walk , 2007, 0705.2857.

[2] John Waldron,et al. The Langevin Equation , 2004 .

[3] W. Feller. An Introduction to Probability Theory and Its Applications , 1959 .

[4] W. Ebeling. Stochastic Processes in Physics and Chemistry , 1995 .

[5] H. Risken. Fokker-Planck Equation , 1984 .