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Model A of critical dynamics : 5-loop ɛ expansion study. / Adzhemyan, L. Ts; Evdokimov, D. A.; Hnatič, M.; Ivanova, E. V.; Kompaniets, M. V.; Kudlis, A.; Zakharov, D. V.

In: Physica A: Statistical Mechanics and its Applications, Vol. 600, 127530, 15.08.2022.

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

Harvard

Adzhemyan, LT, Evdokimov, DA, Hnatič, M, Ivanova, EV, Kompaniets, MV, Kudlis, A & Zakharov, DV 2022, 'Model A of critical dynamics: 5-loop ɛ expansion study', Physica A: Statistical Mechanics and its Applications, vol. 600, 127530. https://doi.org/10.1016/j.physa.2022.127530

APA

Adzhemyan, L. T., Evdokimov, D. A., Hnatič, M., Ivanova, E. V., Kompaniets, M. V., Kudlis, A., & Zakharov, D. V. (2022). Model A of critical dynamics: 5-loop ɛ expansion study. Physica A: Statistical Mechanics and its Applications, 600, [127530]. https://doi.org/10.1016/j.physa.2022.127530

Vancouver

Adzhemyan LT, Evdokimov DA, Hnatič M, Ivanova EV, Kompaniets MV, Kudlis A et al. Model A of critical dynamics: 5-loop ɛ expansion study. Physica A: Statistical Mechanics and its Applications. 2022 Aug 15;600. 127530. https://doi.org/10.1016/j.physa.2022.127530

Author

Adzhemyan, L. Ts ; Evdokimov, D. A. ; Hnatič, M. ; Ivanova, E. V. ; Kompaniets, M. V. ; Kudlis, A. ; Zakharov, D. V. / Model A of critical dynamics : 5-loop ɛ expansion study. In: Physica A: Statistical Mechanics and its Applications. 2022 ; Vol. 600.

BibTeX

@article{78a63f05e9df42519002e6fca778668b,
title = "Model A of critical dynamics: 5-loop ɛ expansion study",
abstract = "We have calculated the five-loop RG expansions of the n-component A model of critical dynamics in dimensions d=4−ɛ within the Minimal Subtraction scheme. This is made possible by using the advanced diagram reduction method and the Sector Decomposition technique adapted to the problems of critical dynamics. The ɛ expansions for the critical dynamic exponent z for an arbitrary value of the order parameter dimension n are derived. Based on these series, the numerical estimates of z for different universality classes are extracted and compared with the results obtained within different theoretical and experimental methods.",
keywords = "Critical dynamic exponent z, Critical dynamics, Multi-loop calculation, Renormalization group, ɛ expansion",
author = "Adzhemyan, {L. Ts} and Evdokimov, {D. A.} and M. Hnati{\v c} and Ivanova, {E. V.} and Kompaniets, {M. V.} and A. Kudlis and Zakharov, {D. V.}",
note = "Publisher Copyright: {\textcopyright} 2022 Elsevier B.V.",
year = "2022",
month = aug,
day = "15",
doi = "10.1016/j.physa.2022.127530",
language = "English",
volume = "600",
journal = "Physica A: Statistical Mechanics and its Applications",
issn = "0378-4371",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Model A of critical dynamics

T2 - 5-loop ɛ expansion study

AU - Adzhemyan, L. Ts

AU - Evdokimov, D. A.

AU - Hnatič, M.

AU - Ivanova, E. V.

AU - Kompaniets, M. V.

AU - Kudlis, A.

AU - Zakharov, D. V.

N1 - Publisher Copyright: © 2022 Elsevier B.V.

PY - 2022/8/15

Y1 - 2022/8/15

N2 - We have calculated the five-loop RG expansions of the n-component A model of critical dynamics in dimensions d=4−ɛ within the Minimal Subtraction scheme. This is made possible by using the advanced diagram reduction method and the Sector Decomposition technique adapted to the problems of critical dynamics. The ɛ expansions for the critical dynamic exponent z for an arbitrary value of the order parameter dimension n are derived. Based on these series, the numerical estimates of z for different universality classes are extracted and compared with the results obtained within different theoretical and experimental methods.

AB - We have calculated the five-loop RG expansions of the n-component A model of critical dynamics in dimensions d=4−ɛ within the Minimal Subtraction scheme. This is made possible by using the advanced diagram reduction method and the Sector Decomposition technique adapted to the problems of critical dynamics. The ɛ expansions for the critical dynamic exponent z for an arbitrary value of the order parameter dimension n are derived. Based on these series, the numerical estimates of z for different universality classes are extracted and compared with the results obtained within different theoretical and experimental methods.

KW - Critical dynamic exponent z

KW - Critical dynamics

KW - Multi-loop calculation

KW - Renormalization group

KW - ɛ expansion

UR - http://www.scopus.com/inward/record.url?scp=85131133387&partnerID=8YFLogxK

U2 - 10.1016/j.physa.2022.127530

DO - 10.1016/j.physa.2022.127530

M3 - Article

AN - SCOPUS:85131133387

VL - 600

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

M1 - 127530

ER -

ID: 98091502