| Full text | |
| Author(s): |
da Silva, M. A. A.
[1]
;
Cressoni, J. C.
[1, 2]
;
Schuetz, Gunter M.
[3]
;
Viswanathan, G. M.
[4, 2]
;
Trimper, Steffen
[5]
Total Authors: 5
|
| Affiliation: | [1] Univ Sao Paulo, FCFRP, Dept Quim & Fis, BR-14040903 Ribeirao Preto, SP - Brazil
[2] Univ Fed Alagoas, Inst Fis, BR-57072970 Maceio, AL - Brazil
[3] Forschungszentrum Julich, Inst Complex Syst 2, D-52428 Julich - Germany
[4] Univ Fed Rio Grande do Norte, Dept Fis Teor & Expt, BR-59078900 Natal, RN - Brazil
[5] Univ Halle Wittenberg, Inst Phys, D-06099 Halle - Germany
Total Affiliations: 5
|
| Document type: | Journal article |
| Source: | Physical Review E; v. 88, n. 2 AUG 9 2013. |
| Web of Science Citations: | 17 |
| Abstract | |
For almost a decade the consensus has held that the random walk propagator for the elephant random walk (ERW) model is a Gaussian. Here we present strong numerical evidence that the propagator is, in general, non-Gaussian and, in fact, non-Levy. Motivated by this surprising finding, we seek a second, non-Gaussian solution to the associated Fokker-Planck equation. We prove mathematically, by calculating the skewness, that the ERW Fokker-Planck equation has a non-Gaussian propagator for the superdiffusive regime. Finally, we discuss some unusual aspects of the propagator in the context of higher order terms needed in the Fokker-Planck equation. (AU) | |
| FAPESP's process: | 11/21089-4 - Large deviation properties of the ASEP with random rates |
| Grantee: | Serguei Popov |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| FAPESP's process: | 11/13685-6 - Analytical and computational modelling of diffusive systems |
| Grantee: | Marco Antonio Alves da Silva |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - Brazil |
| FAPESP's process: | 11/06757-0 - Diffusive processes: random walkers with memory |
| Grantee: | Marco Antonio Alves da Silva |
| Support Opportunities: | Regular Research Grants |