Off-equilibrium relaxational dynamics with improved Ising Hamiltonian

Details Off-equilibrium relaxational dynamics with improved Ising Hamiltonian Off-equilibrium relaxational dynamics with improved Ising Hamiltonian

2010-12-03

arxiv.org/abs/1012.0823v2

J. Stat. Mech. (2010) P12036

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1088/1742-5468/2010/12/P12036

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.

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