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arXiv 1612.03334cond-mat.stat-mech
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对“梯度场核共振的运动平均”一文的评论

Comment on "Motional Averaging of Nuclear Resonance in a Field Gradient"

V. Lisy, J. Tothova

摘要:

在Nanette N的信中。Jarenwattananon和Louis-S. Bouchard [PRL 114,197601(2015)]考虑了在磁场梯度存在下对气体进行的NMR实验。与传统的分子自扩散描述不同,作者计算了考虑分子位移历史的信号的退相干。为此,应用广义朗之万方程(GLE)。我们表明,使用这个方程是不合适的。在信中进行的计算是不正确的,并没有导致报告的修订表达式的线加宽,考虑到在扩散过程中的自相关效应。因此,观察到的NMR信号的令人惊讶的温度行为没有得到解释。特别地,在高温下,线宽不遵循幂律f ~ T^(-1/2)。我们也给备注Jarenwattananon和Bouchard答复[物理学。117,249702(2016)]。

英文摘要:

In the Letter by Nanette N. Jarenwattananon and Louis-S. Bouchard [PRL 114, 197601 (2015)] an NMR experiment on gases in the presence of a magnetic-field gradient has been considered. As distinct from the traditional description of molecular self-diffusion, the authors calculate the decoherence of the signal taking into account the histories of molecular displacements. For this purpose the generalized Langevin equation (GLE) is applied. We show that the use of this equation is inappropriate. The calculations performed in the Letter are not correct and do not lead to the reported revised expression for line broadening that takes into account the autocorrelation effects in the diffusion process. The surprising temperature behavior of the observed NMR signal is thus not explained. In particular, the linewidth does not follow the power law f ~ T^(-1/2) at high temperatures. We give also Remarks on the Jarenwattananon and Bouchard Reply [Phys. Rev. Lett. 117, 249702 (2016)].

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