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摘要翻译：
在回顾了一维系统中反常能量输运的主要特征之后，我们报告了用含噪非谐振子链进行的模拟。随机项的加入是为了保持总能量和动量，从而保持这些模型的基本流体力学特征。这种“保守噪声”的加入使得在小噪声和大系统尺寸L的限制下，热导率kappa(L)~L^α的幂律散度得到了更有效的估计。通过将数值结果与对谐波链的严格预测进行比较，我们说明了有限尺寸和时间效应是如何有效地控制的。对于低噪声振幅，非对称势的α值接近1/3，对称势接近0.4。这些结果支持了先前推测的两个普适类场景。
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英文标题：
《Anomalous transport and relaxation in classical one-dimensional models》
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作者：
G. Basile, L. Delfini, S. Lepri, R. Livi, S. Olla, A. Politi
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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：
After reviewing the main features of anomalous energy transport in 1D systems, we report simulations performed with chains of noisy anharmonic oscillators. The stochastic terms are added in such a way to conserve total energy and momentum, thus keeping the basic hydrodynamic features of these models. The addition of this "conservative noise" allows to obtain a more efficient estimate of the power-law divergence of heat conductivity kappa(L) ~ L^alpha in the limit of small noise and large system size L. By comparing the numerical results with rigorous predictions obtained for the harmonic chain, we show how finite--size and --time effects can be effectively controlled. For low noise amplitudes, the alpha values are close to 1/3 for asymmetric potentials and to 0.4 for symmetric ones. These results support the previously conjectured two-universality-classes scenario.
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PDF链接：
https://arxiv.org/pdf/801.3789
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