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arXiv 1401.6465cond-mat.stat-mech
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振荡场中Ginzburg-Landau平均场模型动态相变的扩展序参量和共轭场

Extended Order Parameter and Conjugate Field for the Dynamic Phase Transition in a Ginzburg-Landau Mean-Field Model in an Oscillating Field

Daniel T. Robb, Aaron Ostrander

摘要:

我们给出了在振荡场驱动下的Ginzburg-Landau平均场模型中动态相变的扩展序参量和共轭场的数值证据。先前被认为是时间平均磁化的序参量包括磁化的傅立叶分量与它们在临界周期处的值的偏差。共轭场,以前被认为是时间平均的磁场,包括场的偶数傅立叶分量。与扩展序参量和共轭场相关的标度指数β和δ的数值结果与平衡平均场模型中的标度指数β和δ的数值结果一致。

英文摘要:

We present numerical evidence for an extended order parameter and conjugate field for the dynamic phase transition in a Ginzburg-Landau mean-field model driven by an oscillating field. The order parameter, previously taken to be the time-averaged magnetization, comprises the deviations of the Fourier components of the magnetization from their values at the critical period. The conjugate field, previously taken to be the time-averaged magnetic field, comprises the even Fourier components of the field. The scaling exponents beta and delta associated with the extended order parameter and conjugate field are shown numerically to be consistent with their values in the equilibrium mean-field model.

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