非平衡老化动力学中间歇能量释放的线性响应从属性
Linear response subordination to intermittent energy release in off-equilibrium aging dynamics
摘要:
描述非平衡老化动力学的实验和数值数据的解释关键取决于自发和诱导波动之间的联系。线性响应波动在统计上从属于能量的不可逆爆发(所谓的地震)的假设导致对物理可观测量的平均值和波动谱的预测与实验结果合理一致[参见例如Sibani等人,B74:224407,2006]。使用模拟数据从一个简单的,但具有代表性的伊辛模型与plaquette相互作用,直接的统计证据支持的假设,并在这项工作中进行了讨论。一个严格的时间相关性地震和间歇性磁化波动的证明。外部磁场偏置预先存在的间歇性尾部的磁波动分布,很少或没有影响的高斯部分,后者。它对能量波动的影响可以忽略不计。因此,线性响应受地震控制,并继承了它们的时间统计特性。这些研究结果提供了一个理论基础,以同样的方式分析间歇性线性响应数据从老化系统的热能波动,这是更难以测量。
英文摘要:
The interpretation of experimental and numerical data describing off-equilibrium aging dynamics crucially depends on the connection between spontaneous and induced fluctuations. The hypothesis that linear response fluctuations are statistically subordinated to irreversible outbursts of energy, so-called quakes, leads to predictions for averages and fluctuations spectra of physical observables in reasonable agreement with experimental results [see e.g. Sibani et al., Phys. Rev. B74:224407, 2006]. Using simulational data from a simple but representative Ising model with plaquette interactions, direct statistical evidence supporting the hypothesis is presented and discussed in this work. A strict temporal correlation between quakes and intermittent magnetization fluctuations is demonstrated. The external magnetic field is shown to bias the pre-existent intermittent tails of the magnetic fluctuation distribution, with little or no effect on the Gaussian part of the latter. Its impact on energy fluctuations is shown to be negligible. Linear response is thus controlled by the quakes and inherits their temporal statistics. These findings provide a theoretical basis for analyzing intermittent linear response data from aging system in the same way as thermal energy fluctuations, which are far more difficult to measure.
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