Table of Contents
Physics Research International
Volume 2012, Article ID 730812, 4 pages
Research Article

Investigation of Multicritical Phenomena in ANNNI Model by Monte Carlo Methods

1Institute of Physics, Daghestan Scientific Center of RAS, Yaragskogo Street 94, Makhachkala 367003, Russia
2Daghestan State University, Gadzhieva Street 43a, Makhachkala 367025, Russia

Received 20 July 2011; Accepted 16 December 2011

Academic Editor: Vladimir Shavrov

Copyright © 2012 A. K. Murtazaev and J. G. Ibaev. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The anisotropic Ising model with competing interactions is investigated in wide temperature range and parameters by means of Monte Carlo methods. Static critical exponents of the magnetization, susceptibility, heat capacity, and correlation radius are calculated in the neighborhood of Lifshitz point. According to obtained results, a phase diagram is plotted, the coordinates of Lifshitz point are defined, and a character of multicritical behavior of the system is detected.