Finite size scaling analysis with linked cluster expansions
نویسندگان
چکیده
منابع مشابه
Finite size scaling analysis with linked cluster expansions
Linked cluster expansions are generalized from an infinite to a finite volume on a d-dimensional hypercubic lattice. They are performed to 20th order in the expansion parameter to investigate the phase structure of scalar O(N) models for the cases of N = 1 and N = 4 in 3 dimensions. In particular we propose a new criterion to distinguish first from second order transitions via the volume depend...
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Linked cluster expansions are generalized from an infinite to a finite volume. They are performed to 20th order in the expansion parameter to approach the critical region from the symmetric phase. A new criterion is proposed to distinguish 1st from 2nd order transitions within a finite size scaling analysis. The criterion applies also to other methods for investigating the phase structure such ...
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Based on the connection between the Ising model and a correlated percolation model, we calculate the distribution function for the fraction (c) of lattice sites in percolating clusters in subgraphs with n percolating clusters, f(n)(c), and the distribution function for magnetization (m) in subgraphs with n percolating clusters, p(n)(m). We find that f(n)(c) and p(n)(m) have very good finite-siz...
متن کاملar X iv : h ep - l at / 9 60 80 10 v 1 2 A ug 1 99 6 Finite size scaling analysis with linked cluster expansions ∗
Linked cluster expansions are generalized from an infinite to a finite volume on a d-dimensional hypercubic lattice. They are performed to 20th order in the expansion parameter to investigate the phase structure of scalar O(N) models for the cases of N = 1 and N = 4 in 3 dimensions. In particular we propose a new criterion to distinguish first from second order transitions via the volume depend...
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ژورنال
عنوان ژورنال: Nuclear Physics B - Proceedings Supplements
سال: 1997
ISSN: 0920-5632
DOI: 10.1016/s0920-5632(96)00798-0