Calculation of critical exponents by self-similar factor approximants

Details Calculation of critical exponents by self-similar factor approximants Calculation of critical exponents by self-similar factor approximants

2007-04-17

arxiv.org/abs/0704.2125v1

Eur. Phys. J. B 55 (2007) 93-99

Physics

Condensed Matter

Statistical Mechanics

17 pages, 2 tables

Scientific paper

The method of self-similar factor approximants is applied to calculating the critical exponents of the O(N)-symmetric phi^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.

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