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We perform extensive Monte Carlo simulations of the 10-state Potts model on quenched two-dimensional $\Phi^3$ gravity graphs to study the effect of quenched connectivity disorder on the phase transition, which is strongly first order on…

高能物理 - 格点 · 物理学 2009-10-28 C. F. Baillie , W. Janke , D. A. Johnston

The influence of uncorrelated, quenched disorder on the phase transition of two dimensional Potts models will be reviewed. After an introduction where the conditions of relevance of quenched randomness on phase transitions are exemplified…

无序系统与神经网络 · 物理学 2007-05-23 Bertrand Berche , Christophe Chatelain

We report on large-scale Monte Carlo simulations of the three-dimensional 4-state Potts ferromagnet subject to quenched, random bond dilution. For small dilutions the rather strong first-order phase transition of the pure system is found to…

统计力学 · 物理学 2010-07-13 W. Janke , P. -E. Berche , C. Chatelain , B. Berche

We perform extensive Monte Carlo simulations of the 10-state Potts model on quenched two-dimensional $\Phi^3$ gravity graphs to study the effect of quenched coordination number randomness on the nature of the phase transition, which is…

高能物理 - 格点 · 物理学 2009-10-28 C. F. Baillie , W. Janke , D. A. Johnston

We have simulated, by using cluster algorithm, the $q=8$ state Potts model in two-dimension with varying amount of quenched bond randomness. We have shown that there exist a finite size dependent threshold value of the introduced quenched…

凝聚态物理 · 物理学 2016-08-15 Fatih Yaşar , Yiğit Gündüç , Tarık Çelik

Large-scale Monte Carlo simulations of the bond-diluted three-dimensional 4-state Potts model are performed. The phase diagram and the physical properties at the phase transitions are studied using finite-size scaling techniques. Evidences…

统计力学 · 物理学 2007-05-23 Christophe Chatelain , Bertrand Berche , Wolfhard Janke , Pierre-Emmanuel Berche

Phase transitions induced by varying the strength of disorder in the large-q state Potts model in 3d are studied by analytical and numerical methods. By switching on the disorder the transition stays of first order, but different…

无序系统与神经网络 · 物理学 2007-05-23 M. T. Mercaldo , J-Ch. Anglès d'Auriac , F. Iglói

We have studied numerically the effect of quenched site dilution on a first order phase transition in three dimensions. We have simulated the site diluted three states Potts model studying in detail the second order region of its phase…

We present the first detailed numerical study in three dimensions of a first-order phase transition that remains first-order in the presence of quenched disorder (specifically, the ferromagnetic/paramagnetic transition of the site-diluted…

统计力学 · 物理学 2008-02-13 L. A. Fernandez , A. Gordillo-Guerrero , V. Martin-Mayor , J. J. Ruiz-Lorenzo

In this report we give an overview on recent results obtained from extensive Monte Carlo (MC) computer simulations of the 3D 2-state (Ising) and 4-state Potts models with bond-dilution. The motivation to study the 4-state Potts model…

统计力学 · 物理学 2010-07-13 P. -E. Berche , C. Chatelain , B. Berche , W. Janke

We use two-dimensional Poissonian random lattices of Voronoi/ Delaunay type to study the effect of quenched coordination number randomness on the nature of the phase transition in the eight-state Potts model, which is of first order on…

高能物理 - 格点 · 物理学 2009-10-28 Wolfhard Janke , Ramon Villanova

We study by Monte Carlo simulations the influence of bond dilution on the three-dimensional Ising model. This paradigmatic model in its pure version displays a second-order phase transition with a positive specific heat critical exponent…

无序系统与神经网络 · 物理学 2009-11-10 Pierre-Emmanuel Berche , Christophe Chatelain , Bertrand Berche , Wolfhard Janke

We study the effect of quenched coordination-number disorder of random lattices on the nature of the phase transition in the two-dimensional eight-state Potts model, which is of first order on regular lattices. We consider Poissonian random…

高能物理 - 格点 · 物理学 2009-10-28 Wolfhard Janke , Ramon Villanova

The random disorder can drastically change the melting scenario of two-dimensional systems and has to be taken into account in the interpretation of the experimental results. We present the results of the molecular dynamics simulations of…

软凝聚态物质 · 物理学 2016-08-19 E. N. Tsiok , Yu. D. Fomin , V. N. Ryzhov

Monte Carlo simulations are performed to study the two-dimensional Potts models with q=3 and 4 states on directed Small-World network. The disordered system is simulated applying the Heat bath Monte Carlo update algorithm. A first-order and…

统计力学 · 物理学 2015-06-05 P. R. O. da Silva , F. W. S. Lima , R. N. Costa Filho

The phase transition in the q-state Potts model with homogeneous ferromagnetic couplings is strongly first order for large q, while is rounded in the presence of quenched disorder. Here we study this phenomenon on different two-dimensional…

无序系统与神经网络 · 物理学 2007-05-23 M. T. Mercaldo , J-Ch. Anglès d'Auriac , F. Iglói

The three-state Potts model is numerically investigated on three-dimensional simple cubic lattices of up to \(128^3\) volume, concentrating on the neighborhood of the first-order phase transition separating the ordered and disordered…

高能物理 - 格点 · 物理学 2009-10-22 Shigemi Ohta

With dynamic Monte Carlo simulations, we investigate the continuous phase transition in the three-dimensional three-state random-bond Potts model. We propose a useful technique to deal with the strong corrections to the dynamic scaling…

统计力学 · 物理学 2014-08-26 L. Wang , N. J. Zhou , B. Zheng

We investigate the effect of quenched bond disorder on the two-dimensional three-color Ashkin-Teller model, which undergoes a first-order phase transition in the absence of impurities. This is one of the simplest and striking models in…

无序系统与神经网络 · 物理学 2015-06-24 Arash Bellafard , Sudip Chakravarty , Matthias Troyer , Helmut G. Katzgraber

Through the Monte Carlo simulation of the three-dimensional, three-state Potts model, which is a paradigm of finite-temperature pure gauge QCD, we study the fluctuations of generalized susceptibilities near the temperatures of external…

高能物理 - 格点 · 物理学 2015-06-22 Xue Pan , Mingmei Xu , Yuanfang Wu
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