COMPUTER SIMULATION OF PHASE TRANSITIONS IN THE TWODIMENSIONAL STRUCTURES DESCRIBED THREE-VERTEX ANTIFERROMAGNETIC POTTS MODE ON A TRIANGULAR LATTICE
https://doi.org/10.21822/2073-6185-2015-37-2-71-77
Abstract
Using Monte-Carlo simulations, we investigated phase transitions and frustrations in the three-state Potts model on a triangular lattice with allowance for antiferromagnetic exchange interactions between nearest- neighbors J1 and next- nearest- neighbors J2. The ratio of the next-nearest- neighbor and nearest- neighbor exchange constants r=J2/J1 is chosen within the 0÷2 range. Based on the analysis of the entropy, specific heat, system state density function, and fourth order Binder cumulants, the phase transitions in the Potts model with interactions J1<0 and J2<0 are shown to be found in value ranges of 0 r<0.2 and 1.0<r 2.0. In an intermediate range 0.2 r 1.0 the phase transition fails and the frustrations are revealed.
About the Authors
A. B. Babaev
Института физики им. Х.И. Амирханова Дагестанского научного центра РАН, г. Махачкала
Russian Federation
Russian Federation
G. A. Dibirova
ФГБОУ ВПО «Дагестанский государственный университет», г. Махачкала
Russian Federation
Russian Federation
M. B. Saidakhmedova
ФГБОУ ВПО «Дагестанский государственный педагогический университет», г. Махачкала
Russian Federation
Russian Federation
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Review
For citations:
Babaev A.B., Dibirova G.A., Saidakhmedova M.B. COMPUTER SIMULATION OF PHASE TRANSITIONS IN THE TWODIMENSIONAL STRUCTURES DESCRIBED THREE-VERTEX ANTIFERROMAGNETIC POTTS MODE ON A TRIANGULAR LATTICE. Herald of Dagestan State Technical University. Technical Sciences. 2015;37(2):71-77. (In Russ.) https://doi.org/10.21822/2073-6185-2015-37-2-71-77
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