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Off-equilibrium relaxational dynamics with improved Ising Hamiltonian

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arxiv 1012.0823 v2 pith:JDRVAHCG submitted 2010-12-03 cond-mat.stat-mech

Mario Collura This is my paper · ORCID
classification cond-mat.stat-mech
keywords dynamicsoff-equilibriumrelaxationalcriticalhamiltonianimprovedamplitudeanalysing
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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.

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  1. The dynamic critical exponent $z$ of the three-dimensional Ising universality class: Monte Carlo simulations of the improved Blume-Capel model

    cond-mat.stat-mech 2019-08 conditional novelty 5.0 of 10

    Monte Carlo simulations of the improved Blume-Capel model give the dynamic critical exponent of the 3D Ising universality class as z = 2.0245(15).

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