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

@inproceedings{Adzhemyan2016NumericalCO,
title={Numerical Calculation of Scaling Exponents of Percolation Process in the Framework of Renormalization Group Approach},
author={L. T. Adzhemyan and M. Hnativc and M. Kompaniets and T. Luvcivjansk'y and L. Mivzivsin},
year={2016}
}

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 e -expansion where e 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… CONTINUE READING