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Critical behavior of the weakly disordered Ising model : Six-loop ɛ expansion study. / Компаниец, Михаил Владимирович; Кудлис, Андрей; Соколов, Александр Иванович.

In: Physical Review E, Vol. 103, No. 2, 022134, 02.2021.

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

Harvard

Компаниец, МВ, Кудлис, А & Соколов, АИ 2021, 'Critical behavior of the weakly disordered Ising model: Six-loop ɛ expansion study', Physical Review E, vol. 103, no. 2, 022134. https://doi.org/10.1103/PhysRevE.103.022134

APA

Компаниец, М. В., Кудлис, А., & Соколов, А. И. (2021). Critical behavior of the weakly disordered Ising model: Six-loop ɛ expansion study. Physical Review E, 103(2), [022134]. https://doi.org/10.1103/PhysRevE.103.022134

Vancouver

Компаниец МВ, Кудлис А, Соколов АИ. Critical behavior of the weakly disordered Ising model: Six-loop ɛ expansion study. Physical Review E. 2021 Feb;103(2). 022134. https://doi.org/10.1103/PhysRevE.103.022134

Author

Компаниец, Михаил Владимирович ; Кудлис, Андрей ; Соколов, Александр Иванович. / Critical behavior of the weakly disordered Ising model : Six-loop ɛ expansion study. In: Physical Review E. 2021 ; Vol. 103, No. 2.

BibTeX

@article{2d897642e6de4244842be0975928669a,
title = "Critical behavior of the weakly disordered Ising model: Six-loop ɛ expansion study",
abstract = "The critical behavior of three-dimensional weakly diluted quenched Ising model is examined on the base of six-loop renormalization group expansions obtained within the minimal subtraction scheme in 4-ɛ space dimensions. For this purpose the φ4 field theory with cubic symmetry was analyzed in the replica limit n→0. Along with renormalization group expansions in terms of renormalized couplings the ɛ expansions of critical exponents are presented. Corresponding numerical estimates for the physical, three-dimensional system are obtained by means of different resummation procedures applied both to the ɛ series and to initial renormalization group expansions. The results given by the latter approach are in a good agreement with their counterparts obtained experimentally and within the Monte Carlo simulations, while resumming of ɛ series themselves turned out to be disappointing.",
author = "Компаниец, {Михаил Владимирович} and Андрей Кудлис and Соколов, {Александр Иванович}",
note = "Publisher Copyright: {\textcopyright} 2021 American Physical Society.",
year = "2021",
month = feb,
doi = "10.1103/PhysRevE.103.022134",
language = "English",
volume = "103",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "2",

}

RIS

TY - JOUR

T1 - Critical behavior of the weakly disordered Ising model

T2 - Six-loop ɛ expansion study

AU - Компаниец, Михаил Владимирович

AU - Кудлис, Андрей

AU - Соколов, Александр Иванович

N1 - Publisher Copyright: © 2021 American Physical Society.

PY - 2021/2

Y1 - 2021/2

N2 - The critical behavior of three-dimensional weakly diluted quenched Ising model is examined on the base of six-loop renormalization group expansions obtained within the minimal subtraction scheme in 4-ɛ space dimensions. For this purpose the φ4 field theory with cubic symmetry was analyzed in the replica limit n→0. Along with renormalization group expansions in terms of renormalized couplings the ɛ expansions of critical exponents are presented. Corresponding numerical estimates for the physical, three-dimensional system are obtained by means of different resummation procedures applied both to the ɛ series and to initial renormalization group expansions. The results given by the latter approach are in a good agreement with their counterparts obtained experimentally and within the Monte Carlo simulations, while resumming of ɛ series themselves turned out to be disappointing.

AB - The critical behavior of three-dimensional weakly diluted quenched Ising model is examined on the base of six-loop renormalization group expansions obtained within the minimal subtraction scheme in 4-ɛ space dimensions. For this purpose the φ4 field theory with cubic symmetry was analyzed in the replica limit n→0. Along with renormalization group expansions in terms of renormalized couplings the ɛ expansions of critical exponents are presented. Corresponding numerical estimates for the physical, three-dimensional system are obtained by means of different resummation procedures applied both to the ɛ series and to initial renormalization group expansions. The results given by the latter approach are in a good agreement with their counterparts obtained experimentally and within the Monte Carlo simulations, while resumming of ɛ series themselves turned out to be disappointing.

UR - http://www.scopus.com/inward/record.url?scp=85102400480&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/b0b7dcee-0867-324a-b157-18544eb34cbb/

U2 - 10.1103/PhysRevE.103.022134

DO - 10.1103/PhysRevE.103.022134

M3 - Article

VL - 103

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 2

M1 - 022134

ER -

ID: 74117231