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Numerical Calculation of Scaling Exponents of Percolation Process in the Framework of Renormalization Group Approach. / Adzhemyan, L. Ts; Hnatič, M.; Kompaniets, M.; Lučivjanský, T.; Mižišin, L.

Mathematical Modeling and Computational Physics, MMCP 2015. Vol. 108 EDP Sciences, 2016. 02005.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Adzhemyan, LT, Hnatič, M, Kompaniets, M, Lučivjanský, T & Mižišin, L 2016, Numerical Calculation of Scaling Exponents of Percolation Process in the Framework of Renormalization Group Approach. in Mathematical Modeling and Computational Physics, MMCP 2015. vol. 108, 02005, EDP Sciences, Mathematical Modeling and Computational Physics Conference, MMCP 2015, Stara Lesna, Slovakia, 12/07/15. https://doi.org/10.1051/epjconf/201610802005

APA

Adzhemyan, L. T., Hnatič, M., Kompaniets, M., Lučivjanský, T., & Mižišin, L. (2016). Numerical Calculation of Scaling Exponents of Percolation Process in the Framework of Renormalization Group Approach. In Mathematical Modeling and Computational Physics, MMCP 2015 (Vol. 108). [02005] EDP Sciences. https://doi.org/10.1051/epjconf/201610802005

Vancouver

Adzhemyan LT, Hnatič M, Kompaniets M, Lučivjanský T, Mižišin L. Numerical Calculation of Scaling Exponents of Percolation Process in the Framework of Renormalization Group Approach. In Mathematical Modeling and Computational Physics, MMCP 2015. Vol. 108. EDP Sciences. 2016. 02005 https://doi.org/10.1051/epjconf/201610802005

Author

Adzhemyan, L. Ts ; Hnatič, M. ; Kompaniets, M. ; Lučivjanský, T. ; Mižišin, L. / Numerical Calculation of Scaling Exponents of Percolation Process in the Framework of Renormalization Group Approach. Mathematical Modeling and Computational Physics, MMCP 2015. Vol. 108 EDP Sciences, 2016.

BibTeX

@inproceedings{66aca59ba31e4875a431707c216cf30a,
title = "Numerical Calculation of Scaling Exponents of Percolation Process in the Framework of Renormalization Group Approach",
abstract = "The renormalization group theory is used to the study of the directed bond percolation (Gribov process) near its second-order phase transition between absorbing and active state. We present a numerical calculation of the renormalization group functions in the ∈-expansion where ∈ is the deviation from the upper critical dimension dc = 4. Within this procedure anomalous dimensions γ are expressed in terms of irreducible renormalized Feynman diagrams and thus the calculation of renormalization constants could be entirely skipped. The renormalization group is included by means of the R operation, and for computational purposes we choose the null momentum subtraction scheme.",
author = "Adzhemyan, {L. Ts} and M. Hnati{\v c} and M. Kompaniets and T. Lu{\v c}ivjansk{\'y} and L. Mi{\v z}i{\v s}in",
year = "2016",
month = feb,
day = "9",
doi = "10.1051/epjconf/201610802005",
language = "English",
volume = "108",
booktitle = "Mathematical Modeling and Computational Physics, MMCP 2015",
publisher = "EDP Sciences",
address = "France",
note = "Mathematical Modeling and Computational Physics Conference, MMCP 2015 ; Conference date: 12-07-2015 Through 16-07-2015",

}

RIS

TY - GEN

T1 - Numerical Calculation of Scaling Exponents of Percolation Process in the Framework of Renormalization Group Approach

AU - Adzhemyan, L. Ts

AU - Hnatič, M.

AU - Kompaniets, M.

AU - Lučivjanský, T.

AU - Mižišin, L.

PY - 2016/2/9

Y1 - 2016/2/9

N2 - The renormalization group theory is used to the study of the directed bond percolation (Gribov process) near its second-order phase transition between absorbing and active state. We present a numerical calculation of the renormalization group functions in the ∈-expansion where ∈ is the deviation from the upper critical dimension dc = 4. Within this procedure anomalous dimensions γ are expressed in terms of irreducible renormalized Feynman diagrams and thus the calculation of renormalization constants could be entirely skipped. The renormalization group is included by means of the R operation, and for computational purposes we choose the null momentum subtraction scheme.

AB - The renormalization group theory is used to the study of the directed bond percolation (Gribov process) near its second-order phase transition between absorbing and active state. We present a numerical calculation of the renormalization group functions in the ∈-expansion where ∈ is the deviation from the upper critical dimension dc = 4. Within this procedure anomalous dimensions γ are expressed in terms of irreducible renormalized Feynman diagrams and thus the calculation of renormalization constants could be entirely skipped. The renormalization group is included by means of the R operation, and for computational purposes we choose the null momentum subtraction scheme.

UR - http://www.scopus.com/inward/record.url?scp=84961754964&partnerID=8YFLogxK

U2 - 10.1051/epjconf/201610802005

DO - 10.1051/epjconf/201610802005

M3 - Conference contribution

AN - SCOPUS:84961754964

VL - 108

BT - Mathematical Modeling and Computational Physics, MMCP 2015

PB - EDP Sciences

T2 - Mathematical Modeling and Computational Physics Conference, MMCP 2015

Y2 - 12 July 2015 through 16 July 2015

ER -

ID: 9144941