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Nonequilibrium dynamic transition and relevant critical exponents of an Ising spin system subject to an oscillating field
Author(s) -
Shao Y. Z.,
Zhong W. R.,
Lin G. M.
Publication year - 2003
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200309012
Subject(s) - glauber , critical exponent , amplitude , physics , ising model , non equilibrium thermodynamics , scaling , mathematical physics , critical phenomena , order (exchange) , condensed matter physics , field (mathematics) , spin (aerodynamics) , phase transition , critical field , thermodynamics , mathematics , quantum mechanics , geometry , finance , pure mathematics , scattering , economics , superconductivity
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 h 0 of the driving field to their critical values t c and h 0c simultaneously, we worked out a scaling formula that relates the reduced dynamic order parameter Q / Q max of the system with both critical temperature t c and critical amplitude h 0c , 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)