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arXiv 2210.02130gr-qc
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弯曲时空中标量场与流体涨落的对应关系

Correspondences between scalar field and fluid fluctuations in curved spacetime

Seema Satin

AI总结:

本研究得到弯曲时空中标量场涨落与流体力学近似下广义涨落的对应关系,拓展了此前成果,保留部分量子特性并涵盖多类涨落效应,表达式普适性强,为相关介观物理研究提供理论基础。

摘要:

本研究得到了标量场涨落与场的流体力学近似下广义涨落之间的对应关系。本文呈现的结果对场-流体对应研究具有重要意义,是该领域理论基础的组成部分。开展这类研究的目的是探索弯曲时空中相对论性流体的亚流体尺度介观物理。这类流体对应属于经典范畴,在流体力学极限附近的尺度上可替代量子场及其涨落。本文拓展了我们此前的研究成果,对量子流体提供了更精细的物理洞见,且在流体主体的随机描述中保留了部分量子特性。该研究还同时考虑了流体力学极限下场的非热效应,以及热涨落与量子涨落,因此本文给出的表达式本质上具有很强的普适性,可适用于多种应用场景。文末的结论部分还讨论了这类研究进展所带来的进一步研究方向。

英文摘要:

A correspondence between scalar field fluctuations and generalized fluctuations in a hydrodynamic approximation of fields is obtained. The results presented here are of interest to field-fluid correspondences and form part of theoretical foundations in this area. The intention for such developments is to explore sub-hydro range mesoscopic physics for the relativistic fluids in curved spacetime. The fluid correspondences fall in the classical domain and can replace the quantum fields and fluctuations for scales around the hydrodynamic limits.The present article extends our earlier results with a more elaborate physical insight towards the quantum fluids and retention of partial quantum nature in a stochastic description in bulk of the fluids. This also accounts for non-thermal effects along with thermal and quantum fluctuations for the fields in the hydro limit. Hence the expressions presented here are very general in nature for various applications. The further scope of research that such developments give is discussed in the concluding section.

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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