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arXiv · 1608.07075

Influence of Hydrodynamic Fluctuations on the Phase Transition in Models E and F of Critical Dynamics

M. Dančo·M. Hnatich·M. V. Komarova·D. M. Krasnov·T. Lučivjanský·L. Mižišin·M. Yu. Nalimov
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Abstract

We use the renormalization group method to study model E of critical dynamics in the presence of velocity fluctuations arising in accordance with the stochastic Navier-Stokes equation. Using Martin-Siggia-Rose theorem, we obtain a field- theoretical model that allows a perturbative renormalization group analysis. By direct power counting and an analysis of ultraviolet divergences, we show that the model is multiplicatively renormalizable, and we use a two-parameter expansion in $\varepsilon$ and $\delta$ to calculate renormalization constants. Here, $\varepsilon$ is a deviation from the critical dimension four, and $\delta$ is a deviation from the Kolmogorov regime. We present the results of the one-loop approximation and part of the fixed-point structure. We briefly discuss the possible effect of velocity fluctuations on the large-scale behavior of the model.

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M. Dančo, M. Hnatich, M. V. Komarova, D. M. Krasnov, T. Lučivjanský, L. Mižišin, M. Yu. Nalimov. 2016-08-25. Influence of Hydrodynamic Fluctuations on the Phase Transition in Models E and F of Critical Dynamics. https://doi.org/10.1007/s11232-013-0076-3

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