Автор |
Y Liu |
Автор |
Z Q Zhang |
Дата выпуска |
1985-04-21 |
dc.description |
Using the recently proposed real space renormalisation group method for directed systems, the authors study the critical behaviour of directed self-avoiding walks (DSAW) on both directed lattice animals (DLA) and directed percolation clusters at threshold p<sub>c</sub> (DPC) in two dimensions. The values for the exponent nu <sub>perpendicular to </sub> are found to be nu <sub>perpendicular to DSAW</sub><sup>DLA</sup> approximately=0.590 and nu <sub>perpendicular to DSAW</sub><sup>DPC</sup> approximately=0.528, both of which are higher than the mean-field value 0.5. It is also shown rigorously that nu /sub /// remains unchanged; i.e. nu /sub //DSAW/<sup>DLA</sup>= nu /sub //DSAW/<sup>DPC</sup>=1. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
Directed self-avoiding walks on certain directed random fractals |
Тип |
paper |
DOI |
10.1088/0305-4470/18/6/024 |
Print ISSN |
0305-4470 |
Журнал |
Journal of Physics A: Mathematical and General |
Том |
18 |
Первая страница |
1027 |
Последняя страница |
1034 |
Аффилиация |
Y Liu; Inst. of Phys., Chinese Acad. of Sci., Beijing, China |
Аффилиация |
Z Q Zhang; Inst. of Phys., Chinese Acad. of Sci., Beijing, China |
Выпуск |
6 |