摘要翻译:
在液氦4中,许多与玻色统计相关的特征被液体的强相互作用性质所掩盖。作为这些特征的一个例子,我们考察了液氦4在λ点以上的剪切粘度。将线性响应理论应用于Poiseuille毛细管流动公式,将剪切粘滞系数的倒数作为输运系数。利用Kramers-Kronig关系,将毛细管中的超流体流动与旋转桶中的超流体流动联系起来,用系统的磁化率表示剪切粘滞系数的倒数。得到了反映玻色统计量影响的运动剪切粘度公式。利用这个公式,我们研究了在1个大气压下,液氦4的运动剪切粘度从3.7K逐渐下降到λ点的过程。
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英文标题:
《Shear viscosity of liquid helium 4 above the lambda point》
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作者:
Shun-ichiro Koh
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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:Superconductivity 超导电性
分类描述:Superconductivity: theory, models, experiment. Superflow in helium
超导:理论,模型,实验。氦中超流
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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:
In liquid helium 4, many features associated to Bose statistics have been masked by the strongly interacting nature of the liquid. As an example of these features, we examine the shear viscosity of liquid helium 4 above the lambda point. Applying the linear-response theory to Poiseuille's formula for the capillary flow, the reciprocal of the shear viscosity coefficient is considered as a transport coefficient. Using the Kramers-Kronig relation, we relate a superfluid flow in a capillary with that in a rotating bucket, and express the reciprocal of the shear viscosity coefficient in terms of the susceptibility of the system. A formula for the kinematic shear viscosity is obtained which describes the influence of Bose statistics. Using this formula, we study the gradual fall of the kinematic shear viscosity from 3.7K to the lambda point in liquid helium 4 at 1 atm.
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PDF链接:
https://arxiv.org/pdf/712.3967