| Автор | Paul C Bressloff |
| Автор | Vincent M Dwyer |
| Автор | Michael J Kearney |
| Дата выпуска | 1996-10-07 |
| dc.description | We show that classical localization occurs for the drift - diffusion equation on an ordered Cayley tree when the drift velocity v on each branch of the tree exceeds a critical value , where z is the coordination number, D is the diffusion constant and L is the segment length. For the asymptotic decay of the delocalized state exhibits conventional diffusive behaviour, whereas at the critical point there is anomalous behaviour in the form of a critical slowing-down. A necessary condition for localization in the presence of randomly distributed drift velocities is also derived. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Classical localization for the drift - diffusion equation on a Cayley tree |
| Тип | paper |
| DOI | 10.1088/0305-4470/29/19/004 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 29 |
| Первая страница | 6161 |
| Последняя страница | 6168 |
| Аффилиация | Paul C Bressloff; Loughborough University, Loughborough, Leics LE11 3TU, UK |
| Аффилиация | Vincent M Dwyer; Loughborough University, Loughborough, Leics LE11 3TU, UK |
| Аффилиация | Michael J Kearney; Loughborough University, Loughborough, Leics LE11 3TU, UK |
| Выпуск | 19 |
