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We study by extensive Monte Carlo simulations the effect of random bond dilution on the phase transition of the three-dimensional 4-state Potts model which is known to exhibit a strong first-order transition in the pure case. The phase…

Statistical Mechanics · Physics 2010-07-06 Christophe Chatelain , Bertrand Berche , Wolfhard Janke , Pierre Emmanuel Berche

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…

Statistical Mechanics · Physics 2010-07-13 P. -E. Berche , C. Chatelain , B. Berche , W. Janke

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…

Statistical Mechanics · Physics 2007-05-23 Christophe Chatelain , Bertrand Berche , Wolfhard Janke , Pierre-Emmanuel Berche

We quantitatively discuss the influence of quenched disorder on the ferromagnetic quantum phase transition in metals, using a theory that describes the coupling of the magnetization to gapless fermionic excitations. In clean systems, the…

Strongly Correlated Electrons · Physics 2015-03-16 Y. Sang , D. Belitz , T. R. Kirkpatrick

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…

Statistical Mechanics · Physics 2008-02-13 L. A. Fernandez , A. Gordillo-Guerrero , V. Martin-Mayor , J. J. Ruiz-Lorenzo

We present Monte Carlo simulation results of random-bond Potts ferromagnet with the Olson-Young self-dual distribution of quenched disorders in two-dimensions. By exploring the short-time scaling dynamics, we find universal power-law…

Soft Condensed Matter · Physics 2018-01-17 Z. Q. Pan , H. P. Ying , D. W. Gu

The dynamics of the 2D Potts ferromagnet when quenched below the transition temperature is investigated in the case of discontinuous phase transition, which is interesting for understandingthe non equilibrium dynamics of systems with many…

Statistical Mechanics · Physics 2013-01-30 Alberto Petri , Miguel Ibanez de Berganza , Vittorio Loreto

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…

Disordered Systems and Neural Networks · Physics 2007-05-23 Bertrand Berche , Christophe Chatelain

Influence of disorder on the ferromagnetic phase transition in diluted (III,Mn)V semiconductors is investigated analytically. The regime of small disorder is addressed, and the enhancement of the critical temperature by disorder is found…

Materials Science · Physics 2013-05-29 A. L. Chudnovskiy , D. Pfannkuche

This review gives an overview of the quantum phase transition (QPT) problem in metallic ferromagnets, discussing both experimental and theoretical aspects. These QPTs can be classified with respect to the presence and strength of quenched…

Strongly Correlated Electrons · Physics 2016-06-02 M. Brando , D. Belitz , F. M. Grosche , T. R. Kirkpatrick

We report results of a Monte Carlo study of doped, diluted magnetic semiconductors in the low carrier density (insulating) regime. We find that the system undergoes a transition from a paramagnet at high temperatures to a ferromagnet at low…

Materials Science · Physics 2007-05-23 Xin Wan , R. N. Bhatt

Quenched thermodynamic states of an amorphous ferromagnet are studied. The magnet is a countable collection of point particles chaotically distributed over $\mathbb{R}^d$, $d\geq 2$. Each particle bears a real-valued spin with symmetric a…

Mathematical Physics · Physics 2015-06-15 Alexei Daletskii , Yuri Kondratiev , Yuri Kozitsky , Tanja Pasurek

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…

Statistical Mechanics · Physics 2009-10-31 H. G. Ballesteros , L. A. Fernandez , V. Martin-Mayor , A. Munoz Sudupe , G. Parisi , J. J. Ruiz-Lorenzo

We face the problem of phase transitions in diluted systems both from theoretical and numerical sides. We study the effects of quenched site-dilution in classical models (Heisenberg, Ising and Potts) in 2, 3, and 4 dimensions both by using…

Disordered Systems and Neural Networks · Physics 2015-03-14 A. Gordillo-Guerrero

The two-dimensional random-bond Q-state Potts model is studied for Q near 2 via the perturbative renormalisation group to one loop. It is shown that weak disorder induces cross-correlations between the quenched-averages of moments of the…

Statistical Mechanics · Physics 2009-10-31 Tom Davis , John Cardy

We study the influence of quenched disorder on the two-dimensional melting behavior by using both video-microscopy of superparamagnetic colloidal particles and computer simulations of repulsive parallel dipoles. Quenched disorder is…

Soft Condensed Matter · Physics 2015-06-16 Sven Deutschländer , Tobias Kruppa , Hartmut Löwen , Georg Maret , Peter Keim

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…

High Energy Physics - Lattice · Physics 2009-10-28 C. F. Baillie , W. Janke , D. A. Johnston

We study the phase diagram and the quantum phase transitions of a site-diluted two-dimensional O(3) quantum rotor model by means of large-scale Monte-Carlo simulations. This system has two quantum phase transitions, a generic one for small…

Strongly Correlated Electrons · Physics 2007-05-23 Thomas Vojta , Rastko Sknepnek

We study the q-state Potts model on the simple cubic lattice with ferromagnetic interactions in one lattice direction, and antiferromagnetic interactions in the two other directions. As the temperature T decreases, the system undergoes a…

Statistical Mechanics · Physics 2016-09-07 Chengxiang Ding , Henk W. J. Bloete , Youjin Deng

Critical behavior in short-time dynamics is investigated by a Monte Carlo study for the random-bond Potts ferromagnet with a trinary distribution of quenched disorders on two-dimensional triangular lattices. The dynamic scaling is verified…

Statistical Mechanics · Physics 2007-05-23 H. P. Ying , B. J. Bian , D. R. Ji , H. J. Luo , L. Schuelke
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