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摘要翻译：
二维动力学Ising模型在振荡磁场作用下表现出非平衡的二阶动态相变(DPT)，其序参量Q为周期平均磁化强度。在零场作用下，该DPT与二维Ising模型中的平衡相变属于同一类。本文首次研究了由方波外加场产生的DPT的动态序参量相对于周期平均的非零磁偏置场H_b的标度。我们发现H_b在DPT临界周期的标度指数\delta_d等于平衡Ising模型中临界等温线\delta_e的指数。这意味着H_b是场与q共轭的一个重要分量。对临界周期以上的动力学序参量的有限尺度分析为这一结果提供了进一步的支持。我们还用数值方法证明，对于临界区域内的一定周期和H_b值，对于变量Q和H_b,有效温度T_{eff}(T，P，H_0)依赖于周期，可能还依赖于温度和场振幅的涨落-耗散关系(FDR)成立。这一FDR证明了在临界区用Q的标度方差作为非平衡磁化率\部分<Q>/\部分H_b的代用是合理的。
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英文标题：
《Conjugate field and fluctuation-dissipation relation for the dynamic
phase transition in the two-dimensional kinetic Ising model》
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作者：
D. T. Robb, P. A. Rikvold, A. Berger, and M. A. Novotny
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
The two-dimensional kinetic Ising model, when exposed to an oscillating applied magnetic field, has been shown to exhibit a nonequilibrium, second-order dynamic phase transition (DPT), whose order parameter Q is the period-averaged magnetization. It has been established that this DPT falls in the same universality class as the equilibrium phase transition in the two-dimensional Ising model in zero applied field. Here we study for the first time the scaling of the dynamic order parameter with respect to a nonzero, period-averaged, magnetic `bias' field, H_b, for a DPT produced by a square-wave applied field. We find evidence that the scaling exponent, \delta_d, of H_b at the critical period of the DPT is equal to the exponent for the critical isotherm, \delta_e, in the equilibrium Ising model. This implies that H_b is a significant component of the field conjugate to Q. A finite-size scaling analysis of the dynamic order parameter above the critical period provides further support for this result. We also demonstrate numerically that, for a range of periods and values of H_b in the critical region, a fluctuation-dissipation relation (FDR), with an effective temperature T_{eff}(T, P, H_0) depending on the period, and possibly the temperature and field amplitude, holds for the variables Q and H_b. This FDR justifies the use of the scaled variance of Q as a proxy for the nonequilibrium susceptibility, \partial<Q> / \partial H_b, in the critical region.
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PDF链接：
https://arxiv.org/pdf/704.1123
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