Anomalous Behaviors in Fractional Fokker-Planck Equation
| dc.creator | Kim, Kyungsik | |
| dc.creator | Kong, Y. S. | |
| dc.date | 2002-07-02 | |
| dc.date.accessioned | 2026-07-07T02:46:03Z | |
| dc.date.available | 2026-07-07T02:46:03Z | |
| dc.description | We introduce a fractional Fokker-Planck equation with a temporal power-law dependence on the drift force fields. For this case, the moments of the tracer from the force-force correlation in terms of the time-dependent drift force fields are discussed analytically. The long-time asymptotic behavior of the second moment is determined by the scaling exponent $ξ$ imposed by the drift force fields. In the special case of the space scaling value $ν=1$ and the time scaling value $τ=1$, our result can be classified according to the temporal scaling of the mean second moment of the tracer for large $t$: $< \bar{x^2(t)} >$ $\propto$ $t$ with $ξ={1/4}$ for normal diffusion, and $< \bar{x^2(t)} >$ $\propto$ $t^η$ with $η>1$ and $ξ>{1/4}$ for superdiffusion. | |
| dc.description | 10 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0207047 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0207047 | |
| dc.identifier | J. Korean Phys. Soc. 40, 979 (2002) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/19526 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Anomalous Behaviors in Fractional Fokker-Planck Equation | |
| dc.type | text |