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三维X-Y模型的滞后标度和动态相变行为

邵元智 钟伟荣 林光明

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三维X-Y模型的滞后标度和动态相变行为

邵元智, 钟伟荣, 林光明

Hysteretic scaling and dynamical phase transition of three-dimension X-Y Model

Shao Yuan-Zhi, Zhong Wei-Rong, Lin Guang-Ming
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  • 采用Monte Carlo方法对3DX-Y模型进行数值模拟计算,研究了在非线性外场驱动下3DX-Y模 型的滞后标度和动态相变.得出了滞后标度关系为Area~hα0ωβ(1-T/Tc)γ, 其中α=0.57,β=0.34,γ=0.90.发现其动态相变行为在一定的临界参数条件下,初始短周 期(周期数PN≤10)内的结果具有与Ising模型类似的对称性破缺;但在长周期内(PN≥200)的 结果则明显区别于Ising模型而与Heisenberg模型相近,也即无稳定动态有序铁磁相的存在.
    We have studied in this paper,by performing the Monte Carlo numerical simulation,both the hysteretic scaling and the dynamical phase transition of a three-dimen sional,(3D) classical X-Y model driven by an sinusoidally oscillating external m agnetic field.A scaling formula has been worked out which relates the hysteresis loop area with the amplitude h0 and frequency ω of the external fie ld as wel l as the reduced temperature T/Tc of the system in the form:Area~hα0ωβ(1-T/Tc)γ.The best-fit expo nents are α=0.57,β=0.34 and γ=0.9.The 3D X- Y model also characterizes a distinctive discrepancy in dynamical transition fea ture after short and long term evolution of magnetization,respectively.Our simul ation disclosed that the short-term evolution of magnetization (period number≤1 0) attains the symmetry-breaking of system with a nonzero dynamical order parame ter (Q≠0) at a either critical amplitude h0c or frequency ωc.The symme try-breaking in short term,however,evolves steadily into a symmetric disorder st ate (Q=0) after a longer term relaxation of system.The specific relaxation times at which the Q value becomes zero from nonzero increase evidently as the temper ature of system drops.
    • 基金项目: 广东省自然科学基金(批准号:990213)资助的课题.
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  • 文章访问数:  6681
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  • 被引次数: 0
出版历程
  • 收稿日期:  2002-05-02
  • 修回日期:  2002-08-04
  • 刊出日期:  2003-09-20

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