Scaling and self-averaging in the three-dimensional random-field Ising model

Abstract

We investigate, by means of extensive Monte Carlo simulations, the magnetic critical behavior of the three-dimensional bimodal random-field Ising model at the strong disorder regime. We present results in favor of the two-exponent scaling scenario, $\bar{\eta }=2\eta$, where $\eta$ and $\bar{\eta }$ are the critical exponents describing the power-law decay of the connected and disconnected correlation functions and we illustrate, using various finite-size measures and properly defined noise to signal ratios, the strong violation of self-averaging of the model in the ordered phase.

8 pages, 6 figures, to be published in Eur. Phys. J. B

References in corpus (29)

• 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
• Critical exponents of the three dimensional diluted Ising model
• The three-dimensional random field Ising magnet: interfaces, scaling, and the nature of states
• Critical Behavior of the 3d Random Field Ising Model: Two-Exponent Scaling or First Order Phase Transition?
• Lack of Self-Averaging in Critical Disordered Systems
• Critical Exponents of the Three Dimensional Random Field Ising Model
• Critical Exponents of the Three Dimensional Random Field Ising Model
• Revisiting the Theory of Finite Size Scaling in Disordered Systems: νCan Be Less Than 2/d
• Specific-Heat Exponent of Random-Field Systems via Ground-State Calculations
• Multicritical Points and Crossover Mediating the Strong Violation of Universality: Wang-Landau Determinations in the Random-Bond $d=2$ Blume-Capel model
• Universality in Three Dimensional Random-Field Ground States
• Scale Invariance in disordered systems: the example of the Random Field Ising Model
• Strong Violation of Critical Phenomena Universality: Wang-Landau Study of the 2d Blume-Capel Model under Bond Randomness
• Bond dilution in the 3D Ising model: a Monte Carlo study
• Lack of self-averaging of the specific heat in the three-dimensional random-field Ising model
• Estimation of critical behavior from the density of states in Classical Statistical Models
• Susceptibility and Percolation in 2D Random Field Ising Magnets
• Entropic sampling via Wang-Landau random walks in dominant energy subspaces
• First-order transition features of the 3D bimodal random-field Ising model
• Distribution of pseudo-critical temperatures and lack of self-averaging in disordered Poland-Scheraga models with different loop exponents
• Numerical study of the random field Ising model at zero and positive temperature
• Phase Diagram of the 3D Bimodal Random-Field Ising Model
• Critical exponents of four-dimensional random-field Ising systems
• Crossover and self-averaging in the two-dimensional site-diluted Ising model
• Wang-Landau study of the critical behaviour of the bimodal 3D-Random Field Ising Model
• Weak first order transition in the three-dimensional site-diluted Ising antiferromagnet in a magnetic field
• Self-Averaging in the Three Dimensional Site Diluted Heisenberg Model at the critical point

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