Renormalization Group Calculation of Dynamic Exponent in the Models E and F with Hydrodynamic Fluctuations

• Authors: M. Dančo , M. Hnatič , M. Komarova , T. Lučivjanský , M. Nalimov
• Languages of publication: EN

Abstracts

EN

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 γ_{λ} 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.

Keywords

EN

64.60.ae; 64.60.Ht; 67.25.dg; 47.27.Jv

Discipline

• 47.27.Jv: High-Reynolds-number turbulence
• 67.25.dg: Transport, hydrodynamics, and superflow
• 64.60.Ht: Dynamic critical phenomena(for quantum critical phenomena in superconductivity, see 74.40.Kb)
• 64.60.ae: Renormalization-group theory

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2017
• Volume: 131
• Issue: 4
• Pages: 651-653

Dates

published

2017-04

Contributors

author

M. Dančo

• Institute of Experimental Physics SAS, Watsonova 47, 040 01 Košice, Slovakia
• BLTP, Joint Institute for Nuclear Research, Dubna, Russia

author

M. Hnatič

• Institute of Experimental Physics SAS, Watsonova 47, 040 01 Košice, Slovakia
• Institute of Physics, Faculty of Sciences, P.J. Safarik University, Park Angelinum 9, 041 54 Košice, Slovakia
• 'Peoples' Friendship University of Russia (RUDN University) 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation

author

M. Komarova

• Department of Theoretical Physics, St. Petersburg University, Ulyanovskaya 1, St. Petersburg, Petrodvorets, 198504 Russia

author

T. Lučivjanský

• Institute of Physics, Faculty of Sciences, P.J. Safarik University, Park Angelinum 9, 041 54 Košice, Slovakia
• 'Peoples' Friendship University of Russia (RUDN University) 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation

author

M. Nalimov

• Department of Theoretical Physics, St. Petersburg University, Ulyanovskaya 1, St. Petersburg, Petrodvorets, 198504 Russia

References

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Identifiers

DOI

10.12693/APhysPolA.131.651