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

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Dančo M., Hnatič M., Komarova M., Lučivjanský T., Nalimov M.

Acta Physica Polonica A

2017

vol. 131

issue 4

651-653

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.

Theoretical Study of the Frustrated Ising Antiferromagnet on the Honeycomb Lattice

100%

Bobák A., Lučivjanský T., Žukovič M., Borovský M., Balcerzak T.

Acta Physica Polonica A

2017

vol. 131

issue 4

636-638

We study effects of the next-next-nearest-neighbour antiferromagnetic (J₃ < 0) interaction on critical properties (or phase diagram) of the frustrated spin-½ J₁-J₂-J₃ Ising antiferromagnet on the honeycomb lattice by using the effective-field theory with correlations. Beside the ground-state energy, we find that there is a region of J₃ < 0 in which the frustrated honeycomb lattice antiferromagnet exhibits a tricritical point, at which the phase transition changes from the second order to the first one on the line between Néel antiferromagnetic and paramagnetic phases.

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2 Acta Physica Polonica A

2 2017

2 Lučivjanský T.

1 Balcerzak T.

1 Bobák A.

1 Borovský M.

1 Dančo M.

1 Hnatič M.

1 Komarova M.

1 Nalimov M.

1 Žukovič M.

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

Theoretical Study of the Frustrated Ising Antiferromagnet on the Honeycomb Lattice