摘要翻译:
我们用蒙特卡罗模拟方法研究了临界二维完全受挫Ising模型的动力学。在平衡状态下估计了动力学指数,并证明了该指数与$Z_c=2$的值是相容的。在第二步中,在顺磁相中制备体系,然后在临界温度$T_c=0$处淬火。给出了老化区存在对数修正的数值证据。这些修正可能与在其他完全受挫模型中观察到的拓扑缺陷有关。对于在$t_c=0$处猝灭的Ising链,自相关指数估计为$\lambda=d$。
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英文标题:
《Logarithmic corrections in the aging of the fully-frustrated Ising model》
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作者:
Jean-Charles Walter (LPM), Christophe Chatelain (LPM)
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最新提交年份:
2008
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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:
We study the dynamics of the critical two-dimensional fully-frustrated Ising model by means of Monte Carlo simulations. The dynamical exponent is estimated at equilibrium and is shown to be compatible with the value $z_c=2$. In a second step, the system is prepared in the paramagnetic phase and then quenched at its critical temperature $T_c=0$. Numerical evidences for the existence of logarithmic corrections in the aging regime are presented. These corrections may be related to the topological defects observed in other fully-frustrated models. The autocorrelation exponent is estimated to be $\lambda=d$ as for the Ising chain quenched at $T_c=0$.
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PDF链接:
https://arxiv.org/pdf/707.1959