Phase Transitions in the Weakly Diluted 4-State Potts Model on a Triangular Lattice

IF 0.48 Q4 Physics and Astronomy

Bulletin of the Russian Academy of Sciences: Physics Pub Date : 2025-01-17 DOI:10.1134/S1062873824708699

A.B. Babaev, A.K. Murtazaev

引用次数: 0

Abstract

We report a numerical study of the weakly diluted 4-state Potts model on a triangular lattice using Monte Carlo method. We consider systems with linear dimensions L × L = N, L = 10–160. Phase transitions in the Potts model are investigated employing the fourth-order Binder cumulants method and the histogram data analysis. Second-order phase transitions which are close to weakly first-order transitions are shown to occur in the 4-state Potts model on a triangular lattice. The addition of a nonmagnetic disorder has a stabilizing role in the realization of second-order phase transitions.

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三角形晶格上弱稀释4态波模型的相变

本文报道了用蒙特卡罗方法对三角形晶格上弱稀释四态波茨模型的数值研究。我们考虑线性维度为L × L = N, L = 10-160的系统。采用四阶Binder累积量法和直方图数据分析对Potts模型中的相变进行了研究。在三角形晶格上的四态波茨模型中，二阶相变近似于弱一阶相变。非磁性无序的加入对二阶相变的实现具有稳定作用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Bulletin of the Russian Academy of Sciences: Physics Physics and Astronomy-Physics and Astronomy (all)

CiteScore

0.90

自引率

0.00%

发文量

251

期刊介绍： Bulletin of the Russian Academy of Sciences: Physics is an international peer reviewed journal published with the participation of the Russian Academy of Sciences. It presents full-text articles (regular, letters to the editor, reviews) with the most recent results in miscellaneous fields of physics and astronomy: nuclear physics, cosmic rays, condensed matter physics, plasma physics, optics and photonics, nanotechnologies, solar and astrophysics, physical applications in material sciences, life sciences, etc. Bulletin of the Russian Academy of Sciences: Physics focuses on the most relevant multidisciplinary topics in natural sciences, both fundamental and applied. Manuscripts can be submitted in Russian and English languages and are subject to peer review. Accepted articles are usually combined in thematic issues on certain topics according to the journal editorial policy. Authors featured in the journal represent renowned scientific laboratories and institutes from different countries, including large international collaborations. There are globally recognized researchers among the authors: Nobel laureates and recipients of other awards, and members of national academies of sciences and international scientific societies.