Off-equilibrium finite-size method for critical behavior analyses

Abstract

We present a new dynamic off-equilibrium method for the study of continuous transitions, which represents a dynamic generalization of the usual equilibrium cumulant method. Its main advantage is that critical parameters are derived from numerical data obtained much before equilibrium has been attained. Therefore, the method is particularly useful for systems with long equilibration times, like spin glasses. We apply it to the three-dimensional Ising spin-glass model, obtaining accurate estimates of the critical exponents and of the critical temperature with a limited computational effort.

5 pages, 2 figures; Two references have been added and a few typos have been corrected

References in corpus (8)

• Universality in three-dimensional Ising spin glasses: A Monte Carlo study
• The critical behavior of three-dimensional Ising spin glass models
• An in-depth view of the microscopic dynamics of Ising spin glasses at fixed temperature
• The critical behavior of 3D Ising glass models: universality and scaling corrections
• Testing statics-dynamics equivalence at the spin-glass transition in three dimensions
• Nonequilibrium dynamic-correlation-length scaling method
• Study of the phase transition in the 3d Ising spin glass from out of equilibrium numerical simulations
• Universality in three-dimensional Ising spin glasses: Nonequilibrium dynamics from Monte Carlo simulations

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• Scaling law describes the spin-glass response in theory, experiments and simulations
• Disordered Ising model with correlated frustration
• Kardar-Parisi-Zhang universality class for the critical dynamics of reaction-diffusion fronts
• Three-dimensional Abelian and non-Abelian gauge Higgs theories
• Computation of the dynamic critical exponent of the three-dimensional Heisenberg model
• Spin-glass dynamics: experiment, theory and simulation
• A strategy for solving difficulties in spin-glass simulations
• Uncovering gauge-dependent critical order-parameter correlations by a stochastic gauge fixing at O($N$)${}^{\ast }$ and Ising${}^{\ast }$ continuous transitions
• Overlap renormalization group transformations for disordered systems
• Jump Events in a 3D Edwards-Anderson Spin Glass
• Finite-temperature topological transitions in the presence of quenched uncorrelated disorder
• Equilibrium and out-of-equilibrium critical dynamics of the three-dimensional Heisenberg model with random cubic anisotropy
• Deepening the knowledge of Spin Glasses: Metastate, Off-equilibrium phenomena and Temperature Chaos
• Effects of quenched disorder in three-dimensional lattice ${\mathbb{Z}}_2$ gauge Higgs models