Self Consistent Screening Approximation For Critical Dynamics

Дата и время публикации : 1996-09-13T12:03:07Z

Авторы публикации и институты :
Matteo Campellone
Jean-Philippe Bouchaud

Ссылка на журнал-издание: Ссылка на журнал-издание не найдена
Коментарии к cтатье: 21 pages, LaTeX file + 4 (EPS) figures
Первичная категория: cond-mat

Все категории : cond-mat

Краткий обзор статьи: We generalise Bray’s self-consistent screening approximation to describe the critical dynamics of the $phi^4$ theory. In order to obtain the dynamical exponent $z$, we have to make an ansatz for the form of the scaling functions, which fortunately can be much constrained by general arguments. Numerical values of $z$ for $d=3$, and $n=1,…,10$ are obtained using two different ans"atze, and differ by a very small amount. In particular, the value of $z simeq 2.115$ obtained for the 3-d Ising model agrees well with recent Monte-Carlo simulations.

Category: Physics