Abstract: We study the dynamics of spin autocorrelation function and the non-equilibrium decay of magnetization in the Griffiths phase of randomly site diluted Ising magnetic systems by Monte Carlo simulation. The results show that the relaxations are non-exponential for both two- and three-dimensional diluted Ising magnetic systems. At a long timescale, the asymptotic dynamics of the spin autocorrelation function C(t) behaves in the form of C(t) ~ exp{-A(ln t)d/d-1}, expected by the theoretical prediction based on clustering arguments. Furthermore we show that the evolution of the spin autocorrelation function satisfies rather well a stretched exponential form of C(t) ~ exp{-(t/t)β} even at quite small timescales.
(Magnetic phase boundaries (including classical and quantum magnetic transitions, metamagnetism, etc.))
引用本文:
CAO Heng;YUAN Song-Liu;SHANG Jing-Lin;JIANG Xiu-Lin;LI Pai;WANG Yong-Qiang;LIU Li. Monte Carlo Study of Griffiths Phase in Randomly Site Diluted Ising Magnetic System[J]. 中国物理快报, 2006, 23(5): 1176-1179.
CAO Heng, YUAN Song-Liu, SHANG Jing-Lin, JIANG Xiu-Lin, LI Pai, WANG Yong-Qiang, LIU Li. Monte Carlo Study of Griffiths Phase in Randomly Site Diluted Ising Magnetic System. Chin. Phys. Lett., 2006, 23(5): 1176-1179.