V. A. Mutailamov, A. K. Murtazaev, “Short-time dynamics of the three-dimensional Ising model with competing interactions”, Pis'ma v Zh. Èksper. Teoret. Fiz., 2018, Volume 108, Issue 1,Pages <nobr>42

CONDENSED MATTER

Short-time dynamics of the three-dimensional Ising model with competing interactions

V. A. Mutailamov^a, A. K. Murtazaev^ba

^a Institute of Physics, Dagestan Scientific Center, Russian Academy of Sciences, Makhachkala, Russia
^b Dagestan State University, Makhachkala, Russia

Abstract: The critical relaxation from the low-temperature ordered state of the three-dimensional Ising model with competing interactions on a simple cubic lattice has been studied for the first time using the short-time dynamics method. Competition between exchange interactions is due to the ferromagnetic interaction between the nearest neighbors and the antiferromagnetic interaction between the next nearest neighbors. Particles containing 262144 spins with periodic boundary conditions have been studied. Calculations have been performed by the standard Metropolis Monte Carlo algorithm. The static critical exponents of the magnetization and correlation radius have been calculated. The dynamic critical exponent of the model under study has been calculated for the first time.

Received: 18.05.2018
Revised: 28.05.2018

DOI: 10.1134/S0370274X18130088