Nonequilibrium critical relaxation at a first-order phase transition point

¹  Department of Physics, Virginia Polytechnic Institute and State University - Blacksburg, VA 24061-0435, USA
²  Research Institute for Solid State Physics and Optics - H-1525 Budapest, Hungary
³  Institute of Theoretical Physics, Szeged University - H-6720 Szeged, Hungary

Received: 14 May 2007
Accepted: 13 July 2007

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 , or zero, for . 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.