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The dynamic critical exponent z for 2d and 3d Ising models from five-loop ε expansion. / Adzhemyan, L. Ts; Evdokimov, D. A.; Hnatič, M.; Ivanova, E. V.; Kompaniets, M. V.; Kudlis, A.; Zakharov, D. V.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 425, 127870, 16.02.2022.

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Adzhemyan LT, Evdokimov DA, Hnatič M, Ivanova EV, Kompaniets MV, Kudlis A et al. The dynamic critical exponent z for 2d and 3d Ising models from five-loop ε expansion. Physics Letters, Section A: General, Atomic and Solid State Physics. 2022 Feb 16;425. 127870. https://doi.org/10.1016/j.physleta.2021.127870

Author

Adzhemyan, L. Ts ; Evdokimov, D. A. ; Hnatič, M. ; Ivanova, E. V. ; Kompaniets, M. V. ; Kudlis, A. ; Zakharov, D. V. / The dynamic critical exponent z for 2d and 3d Ising models from five-loop ε expansion. In: Physics Letters, Section A: General, Atomic and Solid State Physics. 2022 ; Vol. 425.

BibTeX

@article{d9efb416100c4fafaeca43f73e683196,
title = "The dynamic critical exponent z for 2d and 3d Ising models from five-loop ε expansion",
abstract = "We calculate the dynamical critical exponent z for 2d and 3d Ising universality classes by means of minimally subtracted five-loop ε expansion obtained for the one-component model A. This breakthrough turns out to be possible through the successful adaptation of the Sector Decomposition technique to the problems of critical dynamics. The obtained fifth perturbative order accompanied by the use of advanced resummation techniques for asymptotic series allows us to find highly accurate numerical estimates of z: for two- and three-dimensional cases we obtain 2.14(2) and 2.0235(8) respectively. The numbers found are in good agreement with recent results obtained using different approaches.",
keywords = "Critical dynamic exponent z, Critical dynamics, Multi-loop calculation, Renormalization group, ε expansion, RENORMALIZATION-GROUP, UNIVERSALITY, INTERFACE, SYSTEMS, MONTE-CARLO COMPUTATION, NONEQUILIBRIUM RELAXATION, e 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} 2021 Elsevier B.V.",
year = "2022",
month = feb,
day = "16",
doi = "10.1016/j.physleta.2021.127870",
language = "English",
volume = "425",
journal = "Physics Letters A",
issn = "0375-9601",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - The dynamic critical exponent z for 2d and 3d Ising models from five-loop ε expansion

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: © 2021 Elsevier B.V.

PY - 2022/2/16

Y1 - 2022/2/16

N2 - We calculate the dynamical critical exponent z for 2d and 3d Ising universality classes by means of minimally subtracted five-loop ε expansion obtained for the one-component model A. This breakthrough turns out to be possible through the successful adaptation of the Sector Decomposition technique to the problems of critical dynamics. The obtained fifth perturbative order accompanied by the use of advanced resummation techniques for asymptotic series allows us to find highly accurate numerical estimates of z: for two- and three-dimensional cases we obtain 2.14(2) and 2.0235(8) respectively. The numbers found are in good agreement with recent results obtained using different approaches.

AB - We calculate the dynamical critical exponent z for 2d and 3d Ising universality classes by means of minimally subtracted five-loop ε expansion obtained for the one-component model A. This breakthrough turns out to be possible through the successful adaptation of the Sector Decomposition technique to the problems of critical dynamics. The obtained fifth perturbative order accompanied by the use of advanced resummation techniques for asymptotic series allows us to find highly accurate numerical estimates of z: for two- and three-dimensional cases we obtain 2.14(2) and 2.0235(8) respectively. The numbers found are in good agreement with recent results obtained using different approaches.

KW - Critical dynamic exponent z

KW - Critical dynamics

KW - Multi-loop calculation

KW - Renormalization group

KW - ε expansion

KW - RENORMALIZATION-GROUP

KW - UNIVERSALITY

KW - INTERFACE

KW - SYSTEMS

KW - MONTE-CARLO COMPUTATION

KW - NONEQUILIBRIUM RELAXATION

KW - e expansion

UR - http://www.scopus.com/inward/record.url?scp=85120532122&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2021.127870

DO - 10.1016/j.physleta.2021.127870

M3 - Article

AN - SCOPUS:85120532122

VL - 425

JO - Physics Letters A

JF - Physics Letters A

SN - 0375-9601

M1 - 127870

ER -

ID: 89755540