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arXiv 2610.18554nucl-thhep-ph
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线性化相对论流体力学涨落中的剪切粘度

Shear viscosity from fluctuations in linearized relativistic hydrodynamics

České vysoké učení technické v Praze(布拉格捷克理工大学);SUBATECH UMR 6457 (IMT Atlantique, Université de Nantes, IN2P3/CNRS)(南特大学/大西洋高等理工学院/法国国家科学研究中心);Univerzita Mateja Bela(马特伊·贝尔大学)

Jakub Sterba, Iurii Karpenko, Marlene Nahrgang, Boris Tomasik

AI总结:

该研究在vHLLE代码的线性近似流体模拟中引入热涨落,用Green-Kubo公式提取剪切粘度,验证了其与输入值一致,还发现数值调节器会破坏涨落与涨落-耗散定理。

摘要:

本研究在vHLLE代码的流体动力学模拟中,以线性近似方式引入热涨落,该涨落依据涨落-耗散定理构建。借助静态结构因子,研究了数值流体动力学中空间离散为网格单元对涨落空间关联的影响,指出并系统探究了其与连续介质结果的差异。随后考察了该涨落的时间演化,并采用Green-Kubo公式从涨落中提取剪切粘度。结果表明,对于使用Israel-Stewart方程的模拟,提取的剪切粘度值与输入值一致;同时还发现,代码中用于确保计算稳定性的常用数值调节器会严重破坏涨落,打破涨落-耗散定理。

英文摘要:

In this work we incorporate thermal fluctuations into fluid-dynamic simulations with the vHLLE code, in linear approximation. The fluctuations are built in following the fluctuation-dissipation theorem. The effect of space discretization into cells in numerical hydrodynamics on the spatial correlation of fluctuations is studied with the help of static structure factor. A difference from the continuum result is pointed out and systematically investigated. Time evolution of the ensuing fluctuations is examined and the Green-Kubo formula is used for the extraction of shear viscosity from the fluctuations. The extracted value is demonstrated to be the same as the input value of the shear viscosity for the simulations using Israel-Stewart equations. It is also shown that numerical regulators commonly used in the codes to ensure stability of the calculation severely spoil the fluctuations and break the fluctuation-dissipation theorem.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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