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摘要翻译：
众所周知的FPU现象（对于一些特殊的初始数据，在低能下没有达到模态能量的均分）表明FPU模型在低能下不具有混合特性。我们给出了实际情况的数值指示。我们用标准的Montecarlo技术从微正则系综中取样的完全测量的初始数据集的轨道来说明这一点。通过观察模能量的自相关的衰减来检验混合，发现高频模有倾向于正的自相关。给出了这种非混合性质在热力学极限下仍然存在的迹象。这是一个悬而未决的问题，混合是否在时间内获得--比目前可用的规模要长得多。
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英文标题：
《FPU phenomenon for generic initial data》
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作者：
A. Carati, L. Galgani, A. Giorgilli, S. Paleari
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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 well known FPU phenomenon (lack of attainment of equipartition of the mode--energies at low energies, for some exceptional initial data) suggests that the FPU model does not have the mixing property at low energies. We give numerical indications that this is actually the case. This we show by computing orbits for sets of initial data of full measure, sampled out from the microcanonical ensemble by standard Montecarlo techniques. Mixing is tested by looking at the decay of the autocorrelations of the mode--energies, and it is found that the high--frequency modes have autocorrelations that tend instead to positive values. Indications are given that such a nonmixing property survives in the thermodynamic limit. It is left as an open problem whether mixing obtains within time--scales much longer than the presently available ones.
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PDF链接：
https://arxiv.org/pdf/705.1647
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