Renormalization group description of the~nonequilibrium critical dynamics of spin systems at the~fixed space dimension $d=3$
Teoretičeskaâ i matematičeskaâ fizika, Tome 190 (2017) no. 3, pp. 468-478
Voir la notice de l'article provenant de la source Math-Net.Ru
We present the method and results of a renormalization group description of nonequilibrium critical relaxation of model A with evolution from an initial high-temperature state. We calculate the two-time dependence of the correlation function and response function and find a violation of the fluctuation-dissipation theorem in the nonequilibrium critical regime. For the limit fluctuation-dissipation relation, which is a universal property of the nonequilibrium critical dynamics, we calculate the fluctuation and impurity corrections in the two-loop approximation at the fixed space dimension $d=3$ using Padé–Borel summation for asymptotic series.
Keywords:
nonequilibrium critical dynamics, renormalization group, fluctuation-dissipation relation, aging effect.
@article{TMF_2017_190_3_a7,
author = {I. M. Lavrukhin and V. V. Prudnikov and P. V. Prudnikov},
title = {Renormalization group description of the~nonequilibrium critical dynamics of spin systems at the~fixed space dimension $d=3$},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {468--478},
publisher = {mathdoc},
volume = {190},
number = {3},
year = {2017},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2017_190_3_a7/}
}
TY - JOUR AU - I. M. Lavrukhin AU - V. V. Prudnikov AU - P. V. Prudnikov TI - Renormalization group description of the~nonequilibrium critical dynamics of spin systems at the~fixed space dimension $d=3$ JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2017 SP - 468 EP - 478 VL - 190 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2017_190_3_a7/ LA - ru ID - TMF_2017_190_3_a7 ER -
%0 Journal Article %A I. M. Lavrukhin %A V. V. Prudnikov %A P. V. Prudnikov %T Renormalization group description of the~nonequilibrium critical dynamics of spin systems at the~fixed space dimension $d=3$ %J Teoretičeskaâ i matematičeskaâ fizika %D 2017 %P 468-478 %V 190 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2017_190_3_a7/ %G ru %F TMF_2017_190_3_a7
I. M. Lavrukhin; V. V. Prudnikov; P. V. Prudnikov. Renormalization group description of the~nonequilibrium critical dynamics of spin systems at the~fixed space dimension $d=3$. Teoretičeskaâ i matematičeskaâ fizika, Tome 190 (2017) no. 3, pp. 468-478. http://geodesic.mathdoc.fr/item/TMF_2017_190_3_a7/