Relaxational dynamics in 3D randomly diluted Ising models

Abstract

We study the purely relaxational dynamics (model A) at criticality in three-dimensional disordered Ising systems whose static critical behaviour belongs to the randomly diluted Ising universality class. We consider the site-diluted and bond-diluted Ising models, and the +- J Ising model along the paramagnetic-ferromagnetic transition line. We perform Monte Carlo simulations at the critical point using the Metropolis algorithm and study the dynamic behaviour in equilibrium at various values of the disorder parameter. The results provide a robust evidence of the existence of a unique model-A dynamic universality class which describes the relaxational critical dynamics in all considered models. In particular, the analysis of the size-dependence of suitably defined autocorrelation times at the critical point provides the estimate z=2.35(2) for the universal dynamic critical exponent. We also study the off-equilibrium relaxational dynamics following a quench from T=\infty to T=T_c. In agreement with the field-theory scenario, the analysis of the off-equilibrium dynamic critical behavior gives an estimate of z that is perfectly consistent with the equilibrium estimate z=2.35(2).

38 pages

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Cited by in corpus (13)

• The critical behavior of three-dimensional Ising spin glass models
• Short-time dynamics and critical behavior of three-dimensional site-diluted Ising model
• Critical dynamical behavior of the Ising model
• Off-equilibrium relaxational dynamics with improved Ising Hamiltonian
• Computation of the dynamic critical exponent of the three-dimensional Heisenberg model
• Critical relaxational dynamics at the continuous transitions of three-dimensional spin models with ${\mathbb{Z}}_2$ gauge symmetry
• Static and dynamic structure factors in three-dimensional randomly diluted Ising models
• Universal exotic dynamics in critical mesoscopic systems: Simulating the square root of Avogadro's number of spins
• Critical and multicritical behavior of the +- J Ising model in two and three dimensions
• Critical dynamics in trapped particle systems
• Dynamical critical behavior of the two-dimensional three-state Potts model
• Equilibrium and out-of-equilibrium critical dynamics of the three-dimensional Heisenberg model with random cubic anisotropy
• Effects of quenched disorder in three-dimensional lattice ${\mathbb{Z}}_2$ gauge Higgs models