Off-equilibrium relaxational dynamics with improved Ising Hamiltonian

Abstract

We study the off-equilibrium relaxational dynamics at criticality in the three-dimensional Blume-Capel model whose static critical behaviour belongs to the 3d-Ising universality class. Using "improved" Hamiltonian (the leading corrections to scaling have vanishing amplitude) we perform Monte Carlo simulations of the relaxational dynamics after a quench from $T=\infty$ to $T_c$. Analysing the off-equilibrium dynamics at $T_c$ we obtain an estimate of the dynamical critical exponent $z=2.020(8)$ that is perfectly consistent with the Field Theory predictions.

14 pages, 7 figures, references added, to appear in J. Stat. Mech

References in corpus (6)

• Ageing Properties of Critical Systems
• The critical exponents of the superfluid transition in He4
• Off equilibrium dynamics in the 3d-XY system
• On universality in aging ferromagnets
• Universal aging properties at a disordered critical point
• Relaxational dynamics in 3D randomly diluted Ising models

Cited by in corpus (4)

• The dynamic critical exponent $z$ of the three-dimensional Ising universality class: Monte Carlo simulations of the improved Blume-Capel model
• The dynamic critical exponent $z$ for 2d and 3d Ising models from five-loop $\epsilon$ expansion
• Model A of critical dynamics: 5-loop $\epsilon$ expansion study
• Self-dual criticality in three-dimensional ${\mathbb{Z}}_2$ gauge theory with matter