Тип публикации: статья из журнала
Год издания: 2001
Идентификатор DOI: 10.1023/A:1005260114182
Аннотация: We use the Monte Carlo method to compute the number of trees with n edges in the Eden model on d-dimensional simple cubic lattices for d = 2, 3, 4, 6, 8, 10. We compare these numbers with the exact data derived by the enumeration method up to n = 12 on the square lattice and up to n = 10 on the cubic lattice. We find that for d greПоказать полностьюater than or equal to 3, the computed values of the growth parameter for trees agree with the values that we derived earlier by the expansion in inverse powers of 2d - 1.
Журнал: THEORETICAL AND MATHEMATICAL PHYSICS
Выпуск журнала: Vol. 126, Is. 2
Номера страниц: 270-279
ISSN журнала: 00405779
Место издания: NEW YORK
Издатель: CONSULTANTS BUREAU