Standard

Critical exponents for a three-dimensional impure ising model in the five-loop approximation. / Pakhnin, D. V.; Sokolov, A. I.

In: JETP Letters, Vol. 71, No. 10, 25.05.2000, p. 412-416.

Research output: Contribution to journal › Article › peer-review

Harvard

Pakhnin, DV & Sokolov, AI 2000, 'Critical exponents for a three-dimensional impure ising model in the five-loop approximation', JETP Letters, vol. 71, no. 10, pp. 412-416. https://doi.org/10.1134/1.568366

APA

Pakhnin, D. V., & Sokolov, A. I. (2000). Critical exponents for a three-dimensional impure ising model in the five-loop approximation. JETP Letters, 71(10), 412-416. https://doi.org/10.1134/1.568366

Vancouver

Pakhnin DV, Sokolov AI. Critical exponents for a three-dimensional impure ising model in the five-loop approximation. JETP Letters. 2000 May 25;71(10):412-416. https://doi.org/10.1134/1.568366

Author

Pakhnin, D. V. ; Sokolov, A. I. / Critical exponents for a three-dimensional impure ising model in the five-loop approximation. In: JETP Letters. 2000 ; Vol. 71, No. 10. pp. 412-416.

BibTeX

@article{58bafa94e40b4d1aabfeaadebd44c8b2,
title = "Critical exponents for a three-dimensional impure ising model in the five-loop approximation",
abstract = "The renormalization-group functions governing the critical behavior of the three-dimensional weakly-disordered Ising model are calculated in the five-loop approximation. The random fixed point location and critical exponents for impure Ising systems are estimated by means of the Pad{\'e}-Borel-Leroy resummation of the renormalization-group expansions derived. The asymptotic critical exponents are found to be γ = 1.325 ± 0.003, η = 0.025 ± 0.01, ν = 0.671 ± 0.005, α = -0.0125 ± 0.008, β = 0.344 ± 0.006, while for the correction-to-scaling exponent, a less accurate estimate ω = 0.32 ± 0.06 is obtained.",
author = "Pakhnin, {D. V.} and Sokolov, {A. I.}",
note = "Funding Information: This work was supported by the Ministry of Education of the Russian Federation, grant no. 97-14.2-16. One of the authors (A.I.S.) gratefully acknowledges the support of the International Science Foundation, grant no. p99-943.",
year = "2000",
month = may,
day = "25",
doi = "10.1134/1.568366",
language = "English",
volume = "71",
pages = "412--416",
journal = "JETP Letters",
issn = "0021-3640",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "10",

}

RIS

TY - JOUR

T1 - Critical exponents for a three-dimensional impure ising model in the five-loop approximation

AU - Pakhnin, D. V.

AU - Sokolov, A. I.

N1 - Funding Information: This work was supported by the Ministry of Education of the Russian Federation, grant no. 97-14.2-16. One of the authors (A.I.S.) gratefully acknowledges the support of the International Science Foundation, grant no. p99-943.

PY - 2000/5/25

Y1 - 2000/5/25

N2 - The renormalization-group functions governing the critical behavior of the three-dimensional weakly-disordered Ising model are calculated in the five-loop approximation. The random fixed point location and critical exponents for impure Ising systems are estimated by means of the Padé-Borel-Leroy resummation of the renormalization-group expansions derived. The asymptotic critical exponents are found to be γ = 1.325 ± 0.003, η = 0.025 ± 0.01, ν = 0.671 ± 0.005, α = -0.0125 ± 0.008, β = 0.344 ± 0.006, while for the correction-to-scaling exponent, a less accurate estimate ω = 0.32 ± 0.06 is obtained.

AB - The renormalization-group functions governing the critical behavior of the three-dimensional weakly-disordered Ising model are calculated in the five-loop approximation. The random fixed point location and critical exponents for impure Ising systems are estimated by means of the Padé-Borel-Leroy resummation of the renormalization-group expansions derived. The asymptotic critical exponents are found to be γ = 1.325 ± 0.003, η = 0.025 ± 0.01, ν = 0.671 ± 0.005, α = -0.0125 ± 0.008, β = 0.344 ± 0.006, while for the correction-to-scaling exponent, a less accurate estimate ω = 0.32 ± 0.06 is obtained.

UR - http://www.scopus.com/inward/record.url?scp=0039973948&partnerID=8YFLogxK

U2 - 10.1134/1.568366

DO - 10.1134/1.568366

M3 - Article

AN - SCOPUS:0039973948

VL - 71

SP - 412

EP - 416

JO - JETP Letters

JF - JETP Letters

SN - 0021-3640

IS - 10

ER -

ID: 97216589