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Related papers: Wetting Transition in the Two-Dimensional Blume-Ca…

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We present a finite-size scaling analysis of high-statistics Monte Carlo simulations of the three-dimensional randomly site-diluted and bond-diluted Ising model. The critical behavior of these systems is affected by slowly-decaying scaling…

Disordered Systems and Neural Networks · Physics 2011-02-16 Martin Hasenbusch , Francesco Parisen Toldin , Andrea Pelissetto , Ettore Vicari

Motivated by the indication of a new critical theory for the spin-1/2 Heisenberg model with a spatially staggered anisotropy on the square lattice as suggested in \cite{Wenzel08}, we re-investigate the phase transition of this model induced…

Strongly Correlated Electrons · Physics 2013-05-30 F. -J. Jiang

We study the interplay between wetting and miscibility of a symmetric polymer mixture via MC simulations and SCF calculations. The film surfaces interact with the monomers via short ranged potentials and the wetting transition is of first…

Soft Condensed Matter · Physics 2007-05-23 Marcus Mueller , Kurt Binder

The self-dual random-bond eight-state Potts model is studied numerically through large-scale Monte Carlo simulations using the Swendsen-Wang cluster flipping algorithm. We compute bulk and surface order parameters and susceptibilities and…

Statistical Mechanics · Physics 2009-10-31 Christophe Chatelain , Bertrand Berche

We study a generalized Blume-Capel model on the simple cubic lattice. In addition to the nearest neighbor coupling there is a next to next to nearest neighbor coupling. In order to quantify spatial anisotropy, we determine the correlation…

Statistical Mechanics · Physics 2021-08-04 Martin Hasenbusch

We investigate the critical behavior of the two-dimensional spin-$1$ Baxter-Wu model in the presence of a crystal-field coupling $\Delta$ with the goal of determining the universality class of transitions along the second-order part of the…

Statistical Mechanics · Physics 2023-08-28 A. R. S. Macedo , A. Vasilopoulos , M. Akritidis , J. A. Plascak , N. G. Fytas , M. Weigel

A comprehensive theory of interfacial fluctuation effects occurring at 2D wedge (corner) filling transitions in pure (thermal disorder) and impure (random bond-disorder) systems is presented. Scaling theory and the explicit results of…

Soft Condensed Matter · Physics 2009-11-07 A. O. Parry , M. J. Greenall , A. J. Wood

Extending the Swendsen-Wang cluster algorithm to include both bulk (H) and surface fields (H_1) in L x L x D Ising films of thickness D and two free L x L surfaces, a Monte Carlo study of the capillary condensation critical point of the…

Statistical Mechanics · Physics 2009-11-07 Oliver Dillmann , Wolfhard Janke , Marcus Mueller , Kurt Binder

We investigate critical wetting transitions for fluids adsorbed in wedge-like geometries where the substrate height varies as a power-law, $z(x,y) \sim |x| ^\gamma$, in one direction. As $\gamma$ is increased from 0 to 1, the substrate…

Soft Condensed Matter · Physics 2009-11-07 A. Sartori , A. O. Parry

Using Monte Carlo methods and finite-size scaling, we investigate surface criticality in the O$(n)$ models on the simple-cubic lattice with $n=1$, 2, and 3, i.e. the Ising, XY, and Heisenberg models. For the critical couplings we find…

Statistical Mechanics · Physics 2009-11-11 Youjin Deng , Henk W. J. Blöte , M. P. Nightingale

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

We present a quantitative comparison between extensive Monte Carlo simulations and self-consistent field calculations on the phase diagram and wetting behavior of a symmetric, binary (AB) polymer blend confined into a film. The flat walls…

Statistical Mechanics · Physics 2009-10-31 M. Mueller , K. Binder

We apply a recently advocated simulation scheme that employs a local order-parameter pinning field to study quantum critical phenomena in the two-dimensional square-lattice bilayer quantum Heisenberg model. Using a world-line quantum Monte…

Statistical Mechanics · Physics 2017-01-12 Francesco Parisen Toldin , Fakher F. Assaad , Stefan Wessel

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

We consider the two-dimensional Blume-Capel model with zero chemical potential and small magnetic field evolving on a large but finite torus. We obtain sharp estimates for the transition time, we characterize the set of critical…

Probability · Mathematics 2016-06-29 C. Landim , P. Lemire

The critical properties of the spin-1 two-dimensional Blume-Capel model on directed and undi- rected random lattices with quenched connectivity disorder is studied through Monte Carlo simulations. The critical temperature, as well as the…

Statistical Mechanics · Physics 2015-05-18 F. P. Fernandes , F. W. S. Lima , J. A. Plascak

In this work, we investigate the thermodynamic properties of the quantum Blume-Capel model with spin \( S = 5/2 \) in the presence of transverse and random crystalline fields. The system is described by a Hamiltonian that includes…

In this paper we study finite-size effects in the Blume-Capel model through the analysis of the zeros of the partition function. We consider a complete graph and make use of the behaviour of the partition function zeros to elucidate the…

Statistical Mechanics · Physics 2025-01-09 Yulian Honchar , Mariana Krasnytska , Bertrand Berche , Yurij Holovatch , Ralph Kenna

We have performed multicanonical simulations to study the critical behavior of the two-dimensional Ising model with dipole interactions. This study concerns the thermodynamic phase transitions in the range of the interaction \delta where…

Statistical Mechanics · Physics 2012-07-18 Jacyana S. M. Fonseca , Leandro G. Rizzi , Nelson A. Alves

We provide a complete description of the low temperature wetting transition for the two dimensional Solid-On-Solid model. More precisely we study the integer-valued field $(\phi(x))_{x\in \mathbb Z^2}$, associated associated to the energy…

Mathematical Physics · Physics 2018-07-04 Hubert Lacoin