| Автор | Song, Hyun Suk |
| Автор | Kim, Jin Min |
| Дата выпуска | 2011-09-01 |
| dc.description | We study a depinning transition of a discrete interface growth model for quenched impurities with an external driving force F in d = 2 + 1 dimensions, and determine various critical exponents related to the depinning transition. At the critical force F<sub>c</sub>, the growth velocity v of the average interface height follows a power-law behavior v(t) ∼ t<sup> − δ</sup> with δ≈0.460 and the interface width W shows a scaling behavior W<sup>2</sup>(t, L) ∼ L<sup>2α</sup>f(t/L<sup>z</sup>) with α≈1.02 and z≈1.77 where L is the system size. The steady-state moving velocity v<sub>s</sub> of the average interface height shows v<sub>s</sub> ∼ (F − F<sub>c</sub>)<sup>θ</sup> with θ≈0.575 for F > F<sub>c</sub>. The lateral correlation length follows a power law ξ<sub>r</sub> ∼ |F − F<sub>c</sub>|<sup> − ν<sub>r</sub></sup> with ν<sub>r</sub>≈0.71(3) and the correlation time τ ∼ |F − F<sub>c</sub>|<sup> − ν<sub>t</sub></sup> with ν<sub>t</sub>≈1.25(5). These exponents are very similar to those of directed percolation universality class. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Копирайт | IOP Publishing Ltd |
| Название | A discrete interface growth model for quenched impurities in d = 2 + 1 dimensions |
| Тип | paper |
| DOI | 10.1088/1742-5468/2011/09/P09021 |
| Electronic ISSN | 1742-5468 |
| Журнал | Journal of Statistical Mechanics: Theory and Experiment |
| Том | 2011 |
| Первая страница | P09021 |
| Последняя страница | 8 |
| Аффилиация | Kim, Jin Min; |
| Аффилиация | Song, Hyun Suk; Department of Physics, Soongsil University, Seoul 156-743, Korea |
| Выпуск | 09 |
