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Fisher exponent from pseudo-ε expansion. / Sokolov, A.I.; Nikitina, M.A.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 90, No. 1, 2014, p. 012102_1-.

Research output: Contribution to journal › Article

Harvard

Sokolov, AI & Nikitina, MA 2014, 'Fisher exponent from pseudo-ε expansion', Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 90, no. 1, pp. 012102_1-. https://doi.org/10.1103/PhysRevE.90.012102

APA

Sokolov, A. I., & Nikitina, M. A. (2014). Fisher exponent from pseudo-ε expansion. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 90(1), 012102_1-. https://doi.org/10.1103/PhysRevE.90.012102

Vancouver

Sokolov AI, Nikitina MA. Fisher exponent from pseudo-ε expansion. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2014;90(1):012102_1-. https://doi.org/10.1103/PhysRevE.90.012102

Author

Sokolov, A.I. ; Nikitina, M.A. / Fisher exponent from pseudo-ε expansion. In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2014 ; Vol. 90, No. 1. pp. 012102_1-.

BibTeX

@article{2f4fbe8b1fe74020a9b90956ad2e0f86,
title = "Fisher exponent from pseudo-ε expansion",
abstract = "The critical exponent η for three-dimensional systems with an n-vector order parameter is evaluated in the framework of the pseudo-ε expansion approach. The pseudo-ε expansion (τ series) for η found up to the τ7 term for n = 0, 1, 2, 3 and within the τ6 order for general n is shown to have a structure that is rather favorable for getting numerical estimates. The use of Pad{\'e} approximants and direct summation of the τ series result in iteration procedures rapidly converging to the asymptotic values that are very close to the most reliable numerical estimates of η known today. The origin of such an efficiency is discussed and shown to lie in the general properties of the pseudo-ε expansion machinery interfering with some peculiarities of the renormalization group expansion of η. {\textcopyright} 2014 American Physical Society.",
author = "A.I. Sokolov and M.A. Nikitina",
year = "2014",
doi = "10.1103/PhysRevE.90.012102",
language = "English",
volume = "90",
pages = "012102_1--",
journal = "Physical Review E - Statistical, Nonlinear, and Soft Matter Physics",
issn = "1539-3755",
publisher = "American Physical Society",
number = "1",

}

RIS

TY - JOUR

T1 - Fisher exponent from pseudo-ε expansion

AU - Sokolov, A.I.

AU - Nikitina, M.A.

PY - 2014

Y1 - 2014

N2 - The critical exponent η for three-dimensional systems with an n-vector order parameter is evaluated in the framework of the pseudo-ε expansion approach. The pseudo-ε expansion (τ series) for η found up to the τ7 term for n = 0, 1, 2, 3 and within the τ6 order for general n is shown to have a structure that is rather favorable for getting numerical estimates. The use of Padé approximants and direct summation of the τ series result in iteration procedures rapidly converging to the asymptotic values that are very close to the most reliable numerical estimates of η known today. The origin of such an efficiency is discussed and shown to lie in the general properties of the pseudo-ε expansion machinery interfering with some peculiarities of the renormalization group expansion of η. © 2014 American Physical Society.

AB - The critical exponent η for three-dimensional systems with an n-vector order parameter is evaluated in the framework of the pseudo-ε expansion approach. The pseudo-ε expansion (τ series) for η found up to the τ7 term for n = 0, 1, 2, 3 and within the τ6 order for general n is shown to have a structure that is rather favorable for getting numerical estimates. The use of Padé approximants and direct summation of the τ series result in iteration procedures rapidly converging to the asymptotic values that are very close to the most reliable numerical estimates of η known today. The origin of such an efficiency is discussed and shown to lie in the general properties of the pseudo-ε expansion machinery interfering with some peculiarities of the renormalization group expansion of η. © 2014 American Physical Society.

U2 - 10.1103/PhysRevE.90.012102

DO - 10.1103/PhysRevE.90.012102

M3 - Article

VL - 90

SP - 012102_1-

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

SN - 1539-3755

IS - 1

ER -

ID: 5704086