Abstract The dynamic response and stochastic resonance of a kinetic Ising spin system (ISS) subject to the joint action of an external field of weak sinusoidal modulation and stochastic white-noise are studied by solving the mean-field equation of motion based on Glauber dynamics. The periodically driven stochastic ISS shows that the characteristic stochastic resonance as well as nonequilibrium dynamic phase transition (NDPT) occurs when the frequency \textit{$\omega $} and amplitude $h_{0}$ of driving field, the temperature $t$ of the system and noise intensity $D$ are all specifically in accordance with each other in quantity. There exist in the system two typical dynamic phases, referred to as dynamic disordered paramagnetic and ordered ferromagnetic phases respectively, corresponding to a zero- and a unit-dynamic order parameter. The NDPT boundary surface of the system which separates the dynamic paramagnetic phase from the dynamic ferromagnetic phase in the 3D parameter space of $h_{0}$-$t$-$D$ is also investigated. An interesting dynamical ferromagnetic phase with an intermediate order parameter of 0.66 is revealed for the first time in the ISS subject to the perturbation of a joint determinant and tochastic field. The intermediate order dynamical ferromagnetic phase is dynamically metastable in nature and owns a peculiar characteristic in its stability as well as the response to external driving field as compared with a fully order dynamic ferromagnetic phase.
Received: 04 March 2005
Revised: 15 June 2005
Accepted manuscript online:
(Magnetic phase boundaries (including classical and quantum magnetic transitions, metamagnetism, etc.))
Fund: Project supported by the Natural Science Foundation of Guangdong Province, China (Grant No 031554).
Cite this article:
Shao Yuan-Zhi (邵元智), Zhong Wei-Rong (钟伟荣), Lin Guang-Ming (林光明), Li Jian-Can (李坚灿) Stochastic resonance and nonequilibrium dynamic phase transition of Ising spin system driven by a joint external field 2005 Chinese Physics 14 2110
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