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Field-theoretic analysis of directed percolation: Three-loop approximation. / Аджемян, Лоран Цолакович; Hnatič, Michal; Ivanova, Ella V.; Компаниец, Михаил Владимирович; Lučivjanský, Tomǎš; Mižišin, Lukáš.

в: Physical Review E, Том 107, № 6, 064138, 27.06.2023.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Аджемян, ЛЦ, Hnatič, M, Ivanova, EV, Компаниец, МВ, Lučivjanský, T & Mižišin, L 2023, 'Field-theoretic analysis of directed percolation: Three-loop approximation', Physical Review E, Том. 107, № 6, 064138. https://doi.org/10.1103/PhysRevE.107.064138

APA

Аджемян, Л. Ц., Hnatič, M., Ivanova, E. V., Компаниец, М. В., Lučivjanský, T., & Mižišin, L. (2023). Field-theoretic analysis of directed percolation: Three-loop approximation. Physical Review E, 107(6), [064138]. https://doi.org/10.1103/PhysRevE.107.064138

Vancouver

Аджемян ЛЦ, Hnatič M, Ivanova EV, Компаниец МВ, Lučivjanský T, Mižišin L. Field-theoretic analysis of directed percolation: Three-loop approximation. Physical Review E. 2023 Июнь 27;107(6). 064138. https://doi.org/10.1103/PhysRevE.107.064138

Author

Аджемян, Лоран Цолакович ; Hnatič, Michal ; Ivanova, Ella V. ; Компаниец, Михаил Владимирович ; Lučivjanský, Tomǎš ; Mižišin, Lukáš. / Field-theoretic analysis of directed percolation: Three-loop approximation. в: Physical Review E. 2023 ; Том 107, № 6.

BibTeX

@article{7118a6e884514ed1a4b7ad967ca2da28,
title = "Field-theoretic analysis of directed percolation: Three-loop approximation",
abstract = "The directed bond percolation is a paradigmatic model in nonequilibrium statistical physics. It captures essential physical information on the nature of continuous phase transition between active and absorbing states. In this paper, we study this model by means of the field-theoretic formulation with a subsequent renormalization group analysis. We calculate all critical exponents needed for the quantitative description of the corresponding universality class to the third order in perturbation theory. Using dimensional regularization with minimal subtraction scheme, we carry out perturbative calculations in a formally small parameter ɛ, where ɛ=4-d is a deviation from the upper critical dimension dc=4. We use a nontrivial combination of analytical and numerical tools in order to determine ultraviolet divergent parts of Feynman diagrams.",
author = "Аджемян, {Лоран Цолакович} and Michal Hnati{\v c} and Ivanova, {Ella V.} and Компаниец, {Михаил Владимирович} and Tomǎ{\v s} Lu{\v c}ivjansk{\'y} and Luk{\'a}{\v s} Mi{\v z}i{\v s}in",
year = "2023",
month = jun,
day = "27",
doi = "10.1103/PhysRevE.107.064138",
language = "English",
volume = "107",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "6",

}

RIS

TY - JOUR

T1 - Field-theoretic analysis of directed percolation: Three-loop approximation

AU - Аджемян, Лоран Цолакович

AU - Hnatič, Michal

AU - Ivanova, Ella V.

AU - Компаниец, Михаил Владимирович

AU - Lučivjanský, Tomǎš

AU - Mižišin, Lukáš

PY - 2023/6/27

Y1 - 2023/6/27

N2 - The directed bond percolation is a paradigmatic model in nonequilibrium statistical physics. It captures essential physical information on the nature of continuous phase transition between active and absorbing states. In this paper, we study this model by means of the field-theoretic formulation with a subsequent renormalization group analysis. We calculate all critical exponents needed for the quantitative description of the corresponding universality class to the third order in perturbation theory. Using dimensional regularization with minimal subtraction scheme, we carry out perturbative calculations in a formally small parameter ɛ, where ɛ=4-d is a deviation from the upper critical dimension dc=4. We use a nontrivial combination of analytical and numerical tools in order to determine ultraviolet divergent parts of Feynman diagrams.

AB - The directed bond percolation is a paradigmatic model in nonequilibrium statistical physics. It captures essential physical information on the nature of continuous phase transition between active and absorbing states. In this paper, we study this model by means of the field-theoretic formulation with a subsequent renormalization group analysis. We calculate all critical exponents needed for the quantitative description of the corresponding universality class to the third order in perturbation theory. Using dimensional regularization with minimal subtraction scheme, we carry out perturbative calculations in a formally small parameter ɛ, where ɛ=4-d is a deviation from the upper critical dimension dc=4. We use a nontrivial combination of analytical and numerical tools in order to determine ultraviolet divergent parts of Feynman diagrams.

UR - https://www.mendeley.com/catalogue/a13dde02-9abc-377a-81af-b7fc6042bd4d/

U2 - 10.1103/PhysRevE.107.064138

DO - 10.1103/PhysRevE.107.064138

M3 - Article

VL - 107

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 6

M1 - 064138

ER -

ID: 106813295