Wang-Landau algorithm for continuous models and joint density of states

C Zhou, TC Schulthess, S Torbrügge, DP Landau - Physical review letters, 2006 - APS
We present a modified Wang-Landau algorithm for models with continuous degrees of
freedom. We demonstrate this algorithm with the calculation of the joint density of states of …

Performances of Wang-Landau algorithms for continuous systems

P Poulain, F Calvo, R Antoine, M Broyer… - Physical Review E …, 2006 - APS
The relative performances of different implementations of the Wang-Landau method are
assessed on two classes of systems with continuous degrees of freedom, namely, two …

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 …

Monte Carlo studies of the square Ising model with next-nearest-neighbor interactions

A Malakis, P Kalozoumis, N Tyraskis - The European Physical Journal B …, 2006 - Springer
We apply a new entropic scheme to study the critical behavior of the square-lattice Ising
model with nearest-and next-nearest-neighbor antiferromagnetic interactions. Estimates of …

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 …

Lack of self-averaging of the specific heat in the three-dimensional random-field Ising model

A Malakis, NG Fytas - Physical Review E—Statistical, Nonlinear, and Soft …, 2006 - APS
We apply the recently developed critical minimum-energy subspace scheme for the
investigation of the random-field Ising model. We point out that this method is well suited for …

Critical and tricritical singularities from small-scale Monte Carlo simulations: the Blume–Capel model in two dimensions

L Moueddene, NG Fytas, Y Holovatch… - Journal of Statistical …, 2024 - iopscience.iop.org
We show that accurate insights into the critical properties of the Blume–Capel model at two
dimensions can be deduced from Monte Carlo simulations, even for small system sizes …

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 …

Multicritical points and crossover mediating the strong violation of universality: Wang-Landau determinations in the random-bond Blume-Capel model

A Malakis, AN Berker, IA Hadjiagapiou, NG Fytas… - Physical Review E …, 2010 - APS
The effects of bond randomness on the phase diagram and critical behavior of the square
lattice ferromagnetic Blume-Capel model are discussed. The system is studied in both the …

Universality in the two-dimensional dilute Baxter-Wu model

A Vasilopoulos, NG Fytas, E Vatansever, A Malakis… - Physical Review E, 2022 - APS
We study the question of universality in the two-dimensional spin-1 Baxter-Wu model in the
presence of a crystal field Δ. We employ extensive numerical simulations of two types …