Pseudo-ϵ expansion and critical exponents of superfluid helium

A.I. Sokolov and M.A. Nikitina

Physica A: Statistical Mechanics and its Applications, 2016, vol. 444, issue C, 177-181

Abstract: The pseudo-ϵ expansions (τ-series) for critical exponents of the three-dimensional XY model describing λ-transition in liquid helium are derived up to the τ6 terms. Numerical estimates extracted from the τ-series obtained using the Padé–Borel resummation technique, scaling relations and the seven-loop (τ7) estimate for the Fisher exponent η are presented including those for the exponents α and ν measured in experiments with a record accuracy. For the exponent α the procedure argued to be most reliable gives α=−0.0117, the number that is very close to the most accurate experimental values. It signals that the pseudo-ϵ expansion approach is a powerful tool robust enough to evaluate critical exponents with small absolute errors. The arguments in favor of such a robustness are presented.

Keywords: Renormalization group; Pseudo-ϵ expansion; Critical exponents; Superfluid helium-4 (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:444:y:2016:i:c:p:177-181

DOI: 10.1016/j.physa.2015.10.036

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