Calculation of critical exponents by self-similar factor approximants

V. I. Yukalov () and E. P. Yukalova

The European Physical Journal B: Condensed Matter and Complex Systems, 2007, vol. 55, issue 1, 93-99

Abstract: The method of self-similar factor approximants is applied to calculating the critical exponents of the O(N)-symmetric ϕ 4 theory and of the Ising glass. It is demonstrated that this method, being much simpler than other known techniques of series summation in calculating the critical exponents, at the same time, yields the results that are in very good agreement with those of other rather complicated numerical methods. The principal advantage of the method of self-similar factor approximants is the combination of its extraordinary simplicity and high accuracy. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Keywords: 05.70.Jk Critical point phenomena; 02.30.Lt Sequences; series; and summability; 02.30.Mv Approximations and expansions (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1140/epjb/e2007-00044-4

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