Nonequilibrium critical relaxation at a first-order phase transition point
Abstract
We study numerically the nonequilibrium dynamical behavior of an Ising model with mixed two-spin and four-spin interactions after a sudden quench from the high-temperature phase to the first-order phase transition point. The autocorrelation function is shown to approach its limiting value, given by the magnetization in the ordered phase at the transition point, m_c, through a stretched exponential decay. On the other hand relaxation of the magnetization starting with an uncorrelated initial state with magnetization, m_i, approaches either m_c, for m_i>0.5, or zero, for m_i<0.5. For small m_i and for m_i slightly larger than 0.5 the relaxation of the magnetization shows an asymptotic power-law time dependence, thus from a nonequilibrium point of view the transition is continuous.
Cite
@article{arxiv.0705.2142,
title = {Nonequilibrium critical relaxation at a first-order phase transition point},
author = {Michel Pleimling and Ferenc Igloi},
journal= {arXiv preprint arXiv:0705.2142},
year = {2009}
}