Monte Carlo Simulations of Short-time Critical Dynamics with a Conserved Quantity

Details Monte Carlo Simulations of Short-time Critical Dynamics with a Conserved Quantity Monte Carlo Simulations of Short-time Critical Dynamics with a Conserved Quantity

2001-03-06

arxiv.org/abs/cond-mat/0103136v1

Phys. Rev. E 63, 066130 (2001)

Physics

Condensed Matter

Statistical Mechanics

to appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.63.066130

With Monte Carlo simulations, we investigate short-time critical dynamics of the three-dimensional anti-ferromagnetic Ising model with a globally conserved magnetization $m_s$ (not the order parameter). From the power law behavior of the staggered magnetization (the order parameter), its second moment and the auto-correlation, we determine all static and dynamic critical exponents as well as the critical temperature. The universality class of $m_s=0$ is the same as that without a conserved quantity, but the universality class of non-zero $m_s$ is different.

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