Frustrated Ising model with competing interactions on a square lattice

JH Lee, SY Kim, JM Kim - Physical Review B, 2024 - APS
The Ising model with nearest-neighbor and next-nearest-neighbor interactions of the
coupling constants J 1 and J 2, respectively, is investigated on a square lattice. For J 1= 2 …

Analysis of the convergence of the and Wang-Landau algorithms in the calculation of multidimensional integrals

RE Belardinelli, S Manzi, VD Pereyra - … E—Statistical, Nonlinear, and Soft Matter …, 2008 - APS
In this Brief Report, the convergence of the 1∕ t and Wang-Landau algorithms in the
calculation of multidimensional numerical integrals is analyzed. Both simulation methods …

Strong violation of critical phenomena universality: Wang-Landau study of the two-dimensional Blume-Capel model under bond randomness

A Malakis, AN Berker, IA Hadjiagapiou, NG Fytas - Physical Review E …, 2009 - APS
We study the pure and random-bond versions of the square lattice ferromagnetic Blume-
Capel model, in both the first-order and second-order phase transition regimes of the pure …

Phase diagram of the 3D bimodal random-field Ising model

NG Fytas, A Malakis - The European Physical Journal B, 2008 - Springer
The one-parametric Wang-Landau (WL) method is implemented together with an
extrapolation scheme to yield approximations of the two-dimensional (exchange-energy …

Dynamic magnetic properties in the kinetic Ising ferromagnet on triangular lattice within the effective-field theory and using Glauber-type stochastic dynamics

M Ertaş, E Kantar, Y Kocakaplan, M Keskin - Physica A: Statistical …, 2016 - Elsevier
Dynamic magnetic properties in the kinetic Ising ferromagnet on a triangular lattice are
studied within the effective-field theory with correlations and using Glauber-type stochastic …

Wang-Landau study of the triangular Blume-Capel ferromagnet

NG Fytas - The European Physical Journal B, 2011 - Springer
We report on numerical simulations of the two-dimensional Blume-Capel ferromagnet
embedded in the triangular lattice. The model is studied in both its first-and second-order …

Monte Carlo study of frustrated Ising model with nearest-and next-nearest-neighbor interactions in generalized triangular lattices

H Jang, U Yu - Journal of Statistical Mechanics: Theory and …, 2024 - iopscience.iop.org
We investigate the frustrated J 1–J 2 Ising model with nearest-neighbor interaction J 1 and
next-nearest-neighbor interaction J 2 in two kinds of generalized triangular lattices (GTLs) …

First-order transition features of the 3D bimodal random-field Ising model

NG Fytas, A Malakis, K Eftaxias - Journal of Statistical Mechanics …, 2008 - iopscience.iop.org
Two numerical strategies based on the Wang–Landau and Lee entropic sampling schemes
are implemented to investigate the first-order transition features of the 3D bimodal (±h) …

Magnetic properties of a spin-1 triangular Ising system

M Ertaş, Y Kocakaplan, E Kantar - Journal of Magnetism and Magnetic …, 2015 - Elsevier
We studied some magnetic behaviors of the Blume-Capel (BC) model in a site diluted
triangular lattice by means of the effective-field theory (EFT) with correlations. The effects of …

Criticality in the randomness-induced second-order phase transition of the triangular Ising antiferromagnet with nearest-and next-nearest-neighbor interactions

NG Fytas, A Malakis - Physica A: Statistical Mechanics and its Applications, 2009 - Elsevier
Using a Wang–Landau entropic sampling scheme, we investigate the effects of quenched
bond randomness on a particular case of a triangular Ising model with nearest-(Jnn) and …