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

Abstract

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 ($\pm h$) random-field Ising model at the strong disorder regime. We consider simple cubic lattices with linear sizes in the range $L=4-32$ and simulate the system for two values of the disorder strength: $h=2$ and $h=2.25$. The nature of the transition is elucidated by applying the Lee-Kosterlitz free-energy barrier method. Our results indicate that, despite the strong first-order-like characteristics, the transition remains continuous, in disagreement with the early mean-field theory prediction of a tricritical point at high values of the random-field.

19 pages, 6 figures, slightly extended version as accepted for publication

References in corpus (43)

• An efficient, multiple range random walk algorithm to calculate the density of states
• Determining the density of states for classical statistical models: A random walk algorithm to produce a flat histogram
• Fast Algorithm to Calculate Density of States
• On the Wang-Landau Method for Off-Lattice Simulations in the "Uniform" Ensemble
• 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?
• Self-Averaging, Distribution of Pseudo-Critical Temperatures and Finite Size Scaling in Critical Disordered Systems
• Performance Limitations of Flat Histogram Methods and Optimality of Wang-Landau Sampling
• Wang-Landau sampling for quantum systems: algorithms to overcome tunneling problems and calculate the free energy
• Critical Exponents of the Three Dimensional Random Field Ising Model
• Critical Exponents of the Three Dimensional Random Field Ising Model
• Monte Carlo study of the random-field Ising model
• Specific-Heat Exponent of Random-Field Systems via Ground-State Calculations
• Convergence and Refinement of the Wang-Landau Algorithm
• Universality in Three Dimensional Random-Field Ground States
• Scale Invariance in disordered systems: the example of the Random Field Ising Model
• Three-dimensional antiferromagnetic q-state Potts models: application of the Wang-Landau algorithm
• Glassy transition in the three-dimensional random field Ising model
• 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
• New algorithm and results for the three-dimensional random field Ising Model
• Microcanonical Approach to the Simulation of First-Order Phase Transitions
• Scaling of the Random-Field Ising Model at Zero Temperature
• Estimation of critical behavior from the density of states in Classical Statistical Models
• New phenomena in the random field Ising model
• Continuous phase transitions with a convex dip in the microcanonical entropy
• Ground states and thermal states of the random field Ising model
• Entropic sampling via Wang-Landau random walks in dominant energy subspaces
• Universality in Random Systems: the case of the 3-d Random Field Ising model
• Ground state numerical study of the three-dimensional random field Ising model
• Crossing the coexistence line at constant magnetization
• Numerical study of the random field Ising model at zero and positive temperature
• First order transition in a three dimensional disordered system
• Phase Diagram of the 3D Bimodal Random-Field Ising Model
• Monte Carlo study of the Pure and Dilute Baxter-Wu model
• First-order transition features of the triangular Ising model with nearest- and next-nearest-neighbor antiferromagnetic interactions
• On the nature of the phase transition in the three-dimensional random field Ising model
• A new comprehensive study of the 3D random-field Ising model via sampling the density of states in dominant energy subspaces
• Nature and number of distinct phases in the random field Ising model
• Thermal critical behavior and universality aspects of the three-dimensional random-field Ising model

Cited by in corpus (32)

• Universality in the three-dimensional random-field Ising model
• Multicritical Points and Crossover Mediating the Strong Violation of Universality: Wang-Landau Determinations in the Random-Bond $d=2$ Blume-Capel model
• Strong Violation of Critical Phenomena Universality: Wang-Landau Study of the 2d Blume-Capel Model under Bond Randomness
• Effects of the randomly distributed magnetic field on the phase diagrams of the Ising Nanowire I: discrete distributions
• Finite size scaling in Ising-like systems with quenched random fields: Evidence of hyperscaling violation
• Scaling and super-universality in the coarsening dynamics of the 3d random field Ising model
• Efficient numerical methods for the random-field Ising model: Finite-size scaling, reweighting extrapolation, and computation of response functions
• Parallel multicanonical study of the three-dimensional Blume-Capel model
• Effects of the randomly distributed magnetic field on the phase diagrams of the Ising Nanowire II: continuous distributions
• Nonequilibrium phase transitions and stationary state solutions of a three-dimensional random-field Ising model under a time dependent periodic external field
• Phase structure and phase transitions in a three dimensional SU(2) superconductor
• Critical and tricritical singularities from small-scale Monte Carlo simulations: The Blume-Capel model in two dimensions
• Multicriticality in the Blume-Capel model under a continuous-field probability distribution
• Effective field theory analysis of 3D random field Ising model on isometric lattices
• Quenched bond randomness in marginal and non-marginal Ising spin models in 2D
• Wang-Landau study of the triangular Blume-Capel ferromagnet
• Wetting and interfacial adsorption in the Blume-Capel model on the square lattice
• Critical behavior of the pure and random-bond two-dimensional triangular Ising ferromagnet
• The random field Ising model with an asymmetric trimodal probability distribution
• Universality aspects of the 2d random-bond Ising and 3d Blume-Capel models
• Wang-Landau study of the 3D Ising model with bond disorder
• Scaling and self-averaging in the three-dimensional random-field Ising model
• Criticality in the randomness-induced second-order phase transition of the triangular Ising antiferromagnet with nearest- and next-nearest-neighbor interactions
• Solution of the random field $XY$ magnet on a fully connected graph
• Random-field Ising model: Insight from zero-temperature simulations
• Wang-Landau study of the random bond square Ising model with nearest- and next-nearest-neighbor interactions
• Random field effects on the isotropic quantum Heisenberg model with Gaussian random magnetic field distribution
• Excitations in high-dimensional random-field Ising magnets
• Diffusion-limited reactions on disordered surfaces with continuous distributions of binding energies
• Phase transitions in the Blume-Capel model with trimodal and Gaussian random fields
• Universality in the two-dimensional dilute Baxter-Wu model
• On the application of the Critical Minimum Energy Subspace method to disordered systems