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Aging in coarsening diluted ferromagnets

机译：粗化稀释的铁磁体时效

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We comprehensively study nonequilibrium relaxation and aging processes in the two-dimensional random-site Ising model through numerical simulations. We discuss the dynamical correlation length as well as scaling functions of various two-time quantities as a function of temperature and of the degree of dilution. For already modest values of the dynamical correlation length L deviations from a simple algebraic growth, L(t) ～t~(1/z), are observed. When taking this nonalgebraic growth properly into account, a simple aging behavior of the autocorrelation function is found. This is in stark contrast to earlier studies where, based on the assumption of algebraic growth, a superaging scenario was postulated for the autocorrelation function in disordered ferromagnets. We also study the scaling behavior of the space-time correlation as well as of the time integrated linear response and find again agreement with simple aging. Finally, we briefly discuss the possibility of superuniversality in the scaling properties of space- and time-dependent quantities.
机译：我们通过数值模拟全面研究了二维随机站点伊辛模型中的非平衡松弛和老化过程。我们讨论了动力学相关长度以及各种两次量的缩放函数，它们是温度和稀释度的函数。对于已经相对适度的动态相关长度L，其与简单代数增长的偏差为L（t）〜t〜（1 / z）。当适当考虑这种非代数增长时，会发现自相关函数的简单老化行为。这与早期的研究形成了鲜明的对比，在早期的研究中，基于代数增长的假设，假定无序铁磁体中的自相关函数具有超载情况。我们还研究了时空相关性和时间积分线性响应的缩放行为，并再次发现与简单老化的一致性。最后，我们简要讨论时空相关量的缩放属性中超通用性的可能性。

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