Self Consistent Screening Approximation For Critical Dynamics

Autor:	Jean-Philippe Bouchaud, Matteo Campellone
Jazyk:	angličtina
Rok vydání:	1996
Předmět:	Dynamics (mechanics) Condensed Matter (cond-mat) General Physics and Astronomy Order (ring theory) FOS: Physical sciences Statistical and Nonlinear Physics Condensed Matter Self consistent Exponent Ising model Statistical physics Scaling Value (mathematics) Mathematical Physics Mathematics Ansatz
Popis:	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. Comment: 21 pages, LaTeX file + 4 (EPS) figures
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f0b0b8a3ac3225f21b5a10a656b2583c http://arxiv.org/abs/cond-mat/9609122 Zobrazit plný text záznamu