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The wetting transition of the Blume-Capel model is studied by a finite-size scaling analysis of $L \times M$ lattices where competing boundary fields $\pm H_1$ act on the first row or last row of the $L$ rows in the strip, respectively. We…

Statistical Mechanics · Physics 2015-06-11 Ezequiel V. Albano , Kurt Binder

Extensive Monte Carlo simulation results of the standard two-dimensional driven diffusive systems are obtained using a multispin coding technique. The nonequilibrium phase transition is analyzed with anisotropic finite-size scaling, both at…

Condensed Matter · Physics 2007-05-23 Jian-Sheng Wang

Recent analyses of wetting in the semi-infinite two dimensional Ising model, extended to include both a surface coupling enhancement and a surface field, have shown that the wetting transition may be effectively first-order and that…

Statistical Mechanics · Physics 2016-07-20 Andrew O. Parry , Alexandr Malijevský

In extensive Monte Carlo simulations the phase transition of the random field Ising model in three dimensions is investigated. The values of the critical exponents are determined via finite size scaling. For a Gaussian distribution of the…

Condensed Matter · Physics 2009-10-28 Heiko Rieger

The nonequilibrium phase transition in sheared three-dimensional Ising models is investigated using Monte Carlo simulations in two different geometries corresponding to different shear normals. We demonstrate that in the high shear limit…

Statistical Mechanics · Physics 2012-11-01 Alfred Hucht , Sebastian Angst

Validity of modified finite-size scaling above the upper critical dimension is demonstrated for the quantum phase transition whose dynamical critical exponent is $z=2$. We consider the $N$-component Bose-Hubbard model, which is exactly…

Statistical Mechanics · Physics 2010-01-27 Yasuyuki Kato , Naoki Kawashima

We discuss the short-time behavior of the majority vote dynamics on scale-free networks at the critical threshold. We introduce a heterogeneous mean-field theory on the critical short-time behavior of the majority-vote model on scale-free…

Statistical Mechanics · Physics 2024-05-24 D. S. M. Alencar , J. F. S. Neto , T. F. A. Alves , F. W. S. Lima , R. S. Ferreira , G. A. Alves , A. Macedo-Filho

Motivated by the interplay between 2D and 3D scaling signatures observed in unconventional layered superconductors, we present a systematic Monte Carlo study of the three-dimensional classical XY model with anisotropic in-plane…

Superconductivity · Physics 2026-03-23 Roman Kracht , Andrea Trombettoni , Ilaria Maccari , Nicolò Defenu

Reassessment of the critical temperature and density of the restricted primitive model of an ionic fluid by Monte Carlo simulations performed for system sizes with linear dimension up to $L/\sigma=34$ and sampling of $\sim 10^9$ trial moves…

Statistical Mechanics · Physics 2009-11-07 J. -M. Caillol , D. Levesque , J. -J. Weis

In all local low-dimensional models, scaling at critical points deviates from mean field behavior -- with one possible exception. This exceptional model with ``ordinary" behavior is an inherently non-equilibrium model studied some time ago…

Statistical Mechanics · Physics 2022-02-16 Peter Grassberger

A typical problem with Monte Carlo simulations in statistical physics is that they do not allow for a direct calculation of the free energy. For systems at criticality, this means that one cannot calculate the central charge in a Monte…

Statistical Mechanics · Physics 2009-10-30 Paul J. M. Bastiaansen , Hubert J. F. Knops

The critical behavior of semi-infinite systems in fixed dimensions $d<4$ is investigated theoretically. The appropriate extension of Parisi's massive field theory approach is presented.Two-loop calculations and subsequent Pad\'e-Borel…

Condensed Matter · Physics 2009-10-22 H. W. Diehl , M. Shpot

We analyze within mean-field theory as well as numerically a KPZ equation that describes nonequilibrium wetting. Both complete and critical wettitng transitions were found and characterized in detail. For one-dimensional substrates the…

Statistical Mechanics · Physics 2009-11-10 F. de los Santos , M. M. Telo da Gama , M. A. Munoz

Critical wetting transitions under nonequilibrium conditions are studied numerically and analytically by means of an interface-displacement model defined by a Kardar-Parisi-Zhang equation, plus some extra terms representing a limiting,…

Statistical Mechanics · Physics 2009-11-13 Elvira Romera , Francisco de los Santos , Omar Al Hammal , Miguel A. Munoz

We perform short-time Monte Carlo simulations to study the criticality of the isotropic two-state majority-vote model on cubic lattices of volume $N = L^3$, with $L$ up to $2048$. We obtain the precise location of the critical point by…

Statistical Mechanics · Physics 2021-05-05 K. P. do Nascimento , L. C. de Souza , André L. M. Vilela , H. Eugene Stanley , A. J. F. de Souza

The isotropic-to-nematic transition in a two-dimensional fluid of hard needles is studied using grand canonical Monte Carlo simulations, multiple histogram reweighting, and finite size scaling. The transition is shown to be of the…

Statistical Mechanics · Physics 2015-05-14 R. L. C. Vink

We show that continuous filling or wedge-wetting transitions are possible in 3D wedge-geometries made from (angled) substrates exhibiting first-order wetting transitions and develop a comprehensive fluctuation theory yielding a complete…

Condensed Matter · Physics 2009-10-31 A. O. Parry , C. Rascon , A. J. Wood

Comprehensive Monte Carlo simulations of the short-time dynamic behaviour are reported for the three-dimensional Ising model at criticality. Besides the exponent $\theta$ of the critical initial increase and the dynamic exponent $z$, the…

Statistical Mechanics · Physics 2009-10-31 A. Jaster , J. Mainville , L. Schuelke , B. Zheng

We consider two-dimensional ($d=2$) systems with short-ranged microscopic interactions, where interface unbinding (wetting) transitions occur in the limit of vanishing temperature $T$. For $T=0$ the transition is characterized by…

Statistical Mechanics · Physics 2015-06-23 Pawel Jakubczyk , Marek Napiórkowski , Federico Benitez

Using mean-field theory and high resolution Monte Carlo simulation technique based on multi-histogram method, we have investigated the critical properties of an antiferromagnetic XY model on the 2D Kagom\'e lattice, with single ion…

Strongly Correlated Electrons · Physics 2008-06-17 Farhad Shahbazi , Saba Mortezapour
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