https://doi.org/10.1140/epjb/e2007-00044-4
Calculation of critical exponents by self-similar factor approximants
1
Bogolubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, 141980, Russia
2
Department of Technology and Economics, Swiss Federal Institute of Technology, 8032 Zürich, Switzerland
3
Laboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna, 141980, Russia
Corresponding author: a yukalov@if.sc.usp.br
Received:
20
November
2006
Published online:
9
February
2007
The method of self-similar factor approximants is applied to calculating the critical exponents of the O(N)-symmetric ϕ4 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.
PACS: 05.70.Jk – Critical point phenomena / 02.30.Lt – Sequences, series, and summability / 02.30.Mv – Approximations and expansions
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2007