Influence of frustrations on the thermodynamic properties of the low-dimensional Potts model studied by computer simulation

被引：0
|
作者：
A. B. Babaev
A. K. Murtazaev
E. M. Suleimanov
T. R. Rizvanova
机构：
[1] Russian Academy of Sciences,Amirkhanov Institute of Physics, Dagestan Scientific Center
[2] Dagestan State Pedagogical University,undefined
[3] Dagestan State University,undefined
来源：
Physics of the Solid State | 2016年 / 58卷
关键词：
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Influence of disorder in the form of frustration on the thermodynamic behavior of a two-dimensional three-vertex Potts model has been studied by the Monte Carlo method, taking into account the nearest and next-nearest neighbors. Systems with linear sizes of L × L = N (L = 9–48) on a triangular lattice have been considered. It has been shown that in the case of J1 > 0 and J2 < 0 frustrations appear in the spin system within the interval of 0.5 ≤ |r| ≤ 1.0. The model undergoes a phase transition outside this region.
引用
收藏
页码：2074 / 2077
页数：3
相关论文
共 50 条
  • [41] Antipathogenic properties and applications of low-dimensional materials
    Z. L. Shaw
    Sruthi Kuriakose
    Samuel Cheeseman
    Michael D. Dickey
    Jan Genzer
    Andrew J. Christofferson
    Russell J. Crawford
    Chris F. McConville
    James Chapman
    Vi Khanh Truong
    Aaron Elbourne
    Sumeet Walia
    Nature Communications, 12
  • [42] Low-dimensional assembly of nanoparticles and their collective properties
    Park, So-Jung
    Qian, Zhaoxia
    Hastings, Simon
    Fakhraai, Zahra
    ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 2014, 247
  • [43] Joy and frustrations of growing crystals of divalent tin compounds: getting only powders or low-dimensional crystals
    Denes, Georges
    Madamba, M. Cecilia
    Parris, Juanita M.
    Muntasar, Abdualhafed
    Merazig, Hocine
    HYPERFINE INTERACTIONS, 2020, 241 (01):
  • [44] On some properties of the low-dimensional Gumbel perturbations in the Perturb-and-MAP model
    Tomczak, Jakub M.
    STATISTICS & PROBABILITY LETTERS, 2016, 115 : 8 - 15
  • [45] Low-dimensional model of a supersonic rectangular jet
    Moreno, D
    Krothapalli, A
    Alkislar, MB
    Lourenco, LM
    PHYSICAL REVIEW E, 2004, 69 (02): : 026304 - 1
  • [46] Model reduction for systems with low-dimensional chaos
    Piccardi, C
    Rinaldi, S
    DYNAMICS, BIFURCATIONS AND CONTROL, 2002, 273 : 255 - 268
  • [47] Low-dimensional model of spatial shear layers
    Wei, Mingjun
    Qawasmeh, Bashar R.
    Barone, Matthew
    Waanders, Bart G. van Bloemen
    Zhou, Lin
    PHYSICS OF FLUIDS, 2012, 24 (01)
  • [48] Response characteristics of a low-dimensional model neuron
    Cartling, B
    NEURAL COMPUTATION, 1996, 8 (08) : 1643 - 1652
  • [49] A low-dimensional model for the red blood cell
    Pan, Wenxiao
    Caswell, Bruce
    Karniadakis, George Em
    SOFT MATTER, 2010, 6 (18) : 4366 - 4376
  • [50] Low-dimensional Narrow-gap Semiconductors Studied by Photoluminescence Spectroscopy
    Shao, Jun
    Chen, Xiren
    Zhu, Liangqing
    2018 43RD INTERNATIONAL CONFERENCE ON INFRARED, MILLIMETER, AND TERAHERTZ WAVES (IRMMW-THZ), 2018,
12345