Renormalization Group Calculation of Dynamic Exponent in the Models E and F with Hydrodynamic Fluctuations
M. Dančoa,b, M. Hnatiča,c,d, M.V. Komarova e, T. Lučivjanskýc,d and M.Yu. Nalimov e
aInstitute of Experimental Physics SAS, Watsonova 47, 040 01 Košice, Slovakia
bBLTP, Joint Institute for Nuclear Research, Dubna, Russia
cInstitute of Physics, Faculty of Sciences, P.J. Safarik University, Park Angelinum 9, 041 54 Košice, Slovakia
d`Peoples' Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
eDepartment of Theoretical Physics, St. Petersburg University, Ulyanovskaya 1, St. Petersburg, Petrodvorets, 198504 Russia
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The renormalization group method is applied in order to analyze models E and F of critical dynamics in the presence of velocity fluctuations generated by the stochastic Navier-Stokes equation. Results are given to the one-loop approximation for the anomalous dimension γλ and fixed-points' structure. The dynamic exponent z is calculated in the turbulent regime and stability of the fixed points for the standard model E is discussed.

DOI: 10.12693/APhysPolA.131.651
PACS numbers:, 64.60.Ht, 67.25.dg, 47.27.Jv