Nonequilibrium dynamic transition and relevant critical exponents of an Ising spin system subject to an oscillating field

• Published in: Physica Status Solidi (b) Vol. 239; no. 2; pp. R4 - R6
• Main Authors: Shao, Y. Z., Zhong, W. R., Lin, G. M.
• Format: Journal Article
• Language: English
• Published: Weinheim WILEY-VCH Verlag 01.10.2003; WILEY‐VCH Verlag; Wiley
• Subjects: 64.60.Ht; 75.10.Hk; 75.30.Kz; Classical spin models; Condensed matter: electronic structure, electrical, magnetic, and optical properties; Condensed matter: structure, mechanical and thermal properties; Dynamic critical phenomena; Equations of state, phase equilibria, and phase transitions; Exact sciences and technology; General studies of phase transitions; General theory and models of magnetic ordering; Magnetic properties and materials; Physics; Theoretical study; Ising model; Equations of motion; Magnetic model; Critical exponents
• ISSN: 0370-1972; 1521-3951
• DOI: 10.1002/pssb.200309012

The non‐equilibrium dynamic transition of an Ising spin system driven by an oscillating field was studied through solving the mean‐field equation of motion based on Glauber dynamics. By approaching the temperature t and the amplitude h0 of the driving field to their critical values tc and h0c simultaneously, we worked out a scaling formula that relates the reduced dynamic order parameter Q/Qmax of the system with both critical temperature tc and critical amplitude h0c, i.e. $Q/Q_{\rm max } \sim ( h_{0{\rm c}} - h_0)^{1/\delta } (t_{\rm c} - t)^\beta$. The two critical exponents were figured out as 1/δ = 0.2000 ± 0.0005 and β = 0.1935 ± 0.0005, respectively. (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)