Wang-Landau study of the critical behaviour of the bimodal 3D-Random Field Ising Model

Abstract

We apply the Wang-Landau method to the study of the critical behaviour of the three dimensional Random Field Ising Model with a bimodal probability distribution. Our results show that for high values of the random field intensity the transition is first order, characterized by a double-peaked energy probability distribution at the transition temperature. On the other hand, the transition looks continuous for low values of the field intensity. In spite of the large sample to sample fluctuations observed, the double peak in the probability distribution is always present for high fields

References in corpus (18)

• An efficient, multiple range random walk algorithm to calculate the density of states
• Extended Ensemble Monte Carlo
• Understanding and Improving the Wang-Landau Algorithm
• The three-dimensional random field Ising magnet: interfaces, scaling, and the nature of states
• Wang-Landau algorithm for continuous models and joint density of states
• Avoiding Boundary Effects in Wang-Landau Sampling
• Critical Behavior of the 3d Random Field Ising Model: Two-Exponent Scaling or First Order Phase Transition?
• Critical Exponents of the Three Dimensional Random Field Ising Model
• Critical Exponents of the Three Dimensional Random Field Ising Model
• Specific-Heat Exponent of Random-Field Systems via Ground-State Calculations
• The 3-d Random Field Ising Model at zero temperature
• Lack of self-averaging of the specific heat in the three-dimensional random-field Ising model
• Ground states and thermal states of the random field Ising model
• Numerical study of the random field Ising model at zero and positive temperature
• Ground state numerical study of the three-dimensional random field Ising model
• Dynamics of the Wang-Landau algorithm and complexity of rare events for the three-dimensional bimodal Ising spin glass
• A new comprehensive study of the 3D random-field Ising model via sampling the density of states in dominant energy subspaces
• Critical Exponents of the pure and random-field Ising models

Cited by in corpus (11)

• Efficient numerical methods for the random-field Ising model: Finite-size scaling, reweighting extrapolation, and computation of response functions
• Phase Diagram of the 3D Bimodal Random-Field Ising Model
• Nonequilibrium phase transitions and tricriticality in a three-dimensional lattice system with random-field competing kinetics
• The random field Ising model with an asymmetric trimodal probability distribution
• Scaling and self-averaging in the three-dimensional random-field Ising model
• Random-field Ising model: Insight from zero-temperature simulations
• The random field Ising model with an asymmetric and anisotropic trimodal probability distribution
• Low-energy excitations in the three-dimensional random-field Ising model
• The Wang-Landau Algorithm as Stochastic Optimization and Its Acceleration
• Entropic determination of the phase transition in a coevolving opinion-formation model
• On the application of the Critical Minimum Energy Subspace method to disordered systems