Diffusion in symmetric metastable periodic potential: the Fokker-Planck equation
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| 1. | Title | Title of document | Diffusion in symmetric metastable periodic potential: the Fokker-Planck equation |
| 2. | Creator | Author's name, affiliation, country | M. Hairibi; Laboratoire de Physique de la Matière Condensée. Faculté des Sciences Ben M'sik , B.P 7955, Casablanca; Morocco |
| 2. | Creator | Author's name, affiliation, country | A. Asaklil; Laboratoire de Physique de la Matière Condensée. Faculté des Sciences Ben M'sik , B.P 7955, Casablanca; Morocco |
| 2. | Creator | Author's name, affiliation, country | M. Mazroui; Laboratoire de Physique de la Matière Condensée. Faculté des Sciences Ben M'sik , B.P 7955, Casablanca; Morocco |
| 2. | Creator | Author's name, affiliation, country | Y. Boughaleb; Laboratoire de Physique de la Matière Condensée. Faculté des Sciences Ben M'sik , B.P 7955, Casablanca; Morocco |
| 2. | Creator | Author's name, affiliation, country | M. Chhib; Laboratoire de Physique de la Matière Condensée. Faculté des Sciences Ben M'sik , B.P 7955, Casablanca; Morocco |
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| 4. | Description | Abstract | We investigate the dynamic properties of Brownian particle subject to a metastable periodic potential. By employing the Fokker-Planck equation, which we solve numerically by the matrix continued fraction method, we have calculated the full width at half-maximum (FWHM) λ(q) of the quasi-elastic peak of the dynamic structure factor, for large range of values of the wave-vectors q and for different temperature. Our results show that at low temperature and for different values of the ratio of the barriers ∆=V2/V1 the diffusion process can be described by a simple jump motion with the jump length equal to a/2 for ∆=1 and equal a for 0≤∆≤1/2. While for the other cases, the diffusion process consists of a superposition of both of them. At high temperature, the Fokker-Planck equation describes a diffusion process, which has some characteristic of jump and liquid-like regimes. |
| 5. | Publisher | Organizing agency, location | |
| 6. | Contributor | Sponsor(s) | |
| 7. | Date | (YYYY-MM-DD) | 07-03-2011 |
| 8. | Type | Status & genre | Peer-reviewed Article |
| 8. | Type | Type | |
| 9. | Format | File format | |
| 10. | Identifier | Uniform Resource Identifier | https://revues.imist.ma/index.php/MJCM/article/view/38 |
| 11. | Source | Title; vol., no. (year) | Moroccan Journal of Condensed Matter; Vol 2 (1999) |
| 12. | Language | English=en | en |
| 13. | Relation | Supp. Files | |
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| 15. | Rights | Copyright and permissions |
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