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We investigate Ising ferrimagnets on square and simple-cubic lattices with exchange couplings between spins of values S=1/2 and S=1 on neighbouring sites and an additional single-site anisotropy term on the S=1 sites. Based mainly on a…

Materials Science · Physics 2011-11-24 W. Selke J. Oitmaa

The existence of spontaneous magnetization of Ising spins on directed Barabasi-Albert networks is investigated with seven neighbors, by using Monte Carlo simulations. In large systems we see the magnetization for different temperatures T to…

Disordered Systems and Neural Networks · Physics 2009-11-10 Muneer A. Sumour , M. M. Shabat

Using Monte Carlo histogram methods, the microcanonical caloric curve is computed for the Ising model in two and three dimensions with fixed magnetization. Whereas the signatures of a first order phase transition are clearly visible for…

Condensed Matter · Physics 2015-06-24 Michel Pleimling , Alfred Hueller

We study Ising ferrimagnets on square lattices with antiferromagnetic exchange couplings between spins of values S=1/2 and S=1 on neighbouring sites, couplings between S=1 spins at next--nearest neighbour sites of the lattice, and a…

Materials Science · Physics 2011-11-28 W. Selke , C. Ekiz

We study the effects of dilution to the critical properties of site-diluted Ising model in two dimensions using Monte Carlo simulations. Quenched disorder from the dilution is incorporated into the Ising model via random empty sites on the…

Statistical Mechanics · Physics 2023-05-19 Eduardo C. Cuansing

Density profiles are investigated arising in a critical Ising model in two dimensions which is confined to a rectangular domain with uniform or mixed boundary conditions and arbitrary aspect ratio. For the cases in which the two vertical…

Statistical Mechanics · Physics 2023-07-18 E. Eisenriegler

A mixed spin-1/2 and spin-3/2 Ising model on a decorated square lattice with a nearest- neighbor interaction, next-nearest-neighbor bilinear interaction, three-site four-spin in- teraction and single-ion anisotropy is exactly investigated…

Statistical Mechanics · Physics 2017-08-23 Viliam Štubňa , Michal Jaščur

The critical behavior of the disordered ferromagnetic Ising model is studied numerically by the Monte Carlo method in a wide range of variation of concentration of nonmagnetic impurity atoms. The temperature dependences of correlation…

Disordered Systems and Neural Networks · Physics 2007-09-11 V. Prudnikov , P. Prudnikov , A. Vakilov , A. Krinitsyn

A cluster Monte Carlo method for systems of classical spins with purely dipolar couplings is presented. It is tested and applied for finite arrays of perpendicular Ising dipoles on the triangular lattice. This model is a modification with…

Statistical Mechanics · Physics 2009-11-07 Ulrich K. Roessler

We use Monte Carlo simulations to study multicritical properties of an Ising metamagnet in an external field. According to the mean field theory predictions, a three-dimensional layered metamagnet is expected to display a tricritical point…

Statistical Mechanics · Physics 2015-06-12 M. Žukovič , T. Idogaki

We study the surface phase diagram of the three-dimensional kinetic Ising model below the equilibrium critical point subjected to a periodically oscillating magnetic field. Changing the surface interaction strength as well as the period of…

Statistical Mechanics · Physics 2014-03-19 Keith Tauscher , Michel Pleimling

Interdependence is a fundamental ingredient to analyze the stability of many real-world complex systems featuring functional liasons. Yet, physical realizations of this coupling are still unknown, due to the lack of a theoretical framework…

Disordered Systems and Neural Networks · Physics 2024-12-04 Ivan Bonamassa , Bnaya Gross , Shlomo Havlin

We consider a zero-field Ising model defined on a quasiperiodic graph, the so-called Labyrinth tiling. Exact information about the critical behaviour is obtained from duality arguments and the subclass of models which yield commuting…

Statistical Mechanics · Physics 2007-05-23 Uwe Grimm , Michael Baake , Harald Simon

We investigate three Ising models on the simple cubic lattice by means of Monte Carlo methods and finite-size scaling. These models are the spin-1/2 Ising model with nearest-neighbor interactions, a spin-1/2 model with nearest-neighbor and…

Condensed Matter · Physics 2009-10-28 Henk W. J. Blöte , Erik Luijten , Jouke R. Heringa

The Binder cumulant at the phase transition of Ising models on square lattices with various ferromagnetic nearest and next-nearest neighbour couplings is determined using mainly Monte Carlo techniques. We discuss the possibility to relate…

Statistical Mechanics · Physics 2007-05-23 W. Selke , L. N. Shchur

A two-dimensional fluid of hard spheres each having a spin $\pm 1$ and interacting via short-range Ising-like interaction is studied near the second order phase transition from the paramagnetic gas to the ferromagnetic gas phase. Monte…

Statistical Mechanics · Physics 2009-10-30 A. L. Ferreira , W. Korneta

We consider the surface critical behaviour of a semi-infinite two-dimensional layered Ising model, where the couplings perpendicular to the surface follow the aperiodic Rudin-Shapiro sequence. The model has unusual critical properties:…

Statistical Mechanics · Physics 2009-10-22 F. Igloi , L. Turban

The critical behaviour of three-dimensional semi-infinite Ising ferromagnets at planar surfaces with (i) random surface-bond disorder or (ii) a terrace of monatomic height and macroscopic size is considered. The Griffiths-Kelly-Sherman…

Statistical Mechanics · Physics 2009-10-31 H. W. Diehl

In this work, we study the magnetization behaviors of the classical Ising model on the triangular lattice using Monte Carlo simulations, and pay particular attention to the effect of further-neighbor interactions. Several fascinating spin…

Strongly Correlated Electrons · Physics 2016-07-01 J. Chen , W. Z. Zhuo , M. H. Qin , S. Dong , M. Zeng , X. B. Lu , X. S. Gao , J. -M. Liu

We study the three-dimensional Ising model at the critical point in the fixed-magnetization ensemble, by means of the recently developed geometric cluster Monte Carlo algorithm. We define a magnetic-field-like quantity in terms of…

Statistical Mechanics · Physics 2009-10-31 H. W. J. Blöte , J. R. Heringa , M. M. Tsypin