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旋转平衡中的广义涨落-耗散定理与爱因斯坦关系

Generalized fluctuation-dissipation theorem and Einstein relation in rotating equilibrium

Shuo Fang, Shi Pu

arXiv 2610.01797首次发表:更新:

发表机构

University of Science and Technology of China; Institute of Modern Physics, Chinese Academy of Sciences(中国科学技术大学; 中国科学院近代物理研究所)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文从精确KMS关系推导旋转热平衡中矢量场的广义涨落-耗散定理,得到含旋转的广义爱因斯坦关系,并发现谱函数零模与非旋转阻力系数的新联系,为旋转量子物质研究提供微观平衡约束。

AI 中文摘要

我们从精确的相空间Kubo-Martin-Schwinger(KMS)关系出发,推导了旋转热平衡中矢量场的广义涨落-耗散定理(FDT)。所得的FDT包含超出标量热因子的旋转诱导张量贡献。在局域输运极限下,我们获得了含旋转的模型无关的广义爱因斯坦关系,其中在热涡度的二阶项上,对称动量扩散依赖于低频谱信息,这些信息超出了旋转依赖的耗散阻力所编码的内容。值得注意的是,我们发现了一个新的爱因斯坦型关系,将谱函数中的零模与非旋转阻力系数联系起来。这些零模构成了重夸克偶素轨道极化的新机制。同一FDT约束导出了修正的细致平衡关系,其一阶涡度修正由跃迁极化决定,而不依赖于热浴模型。我们的发现为研究各领域中旋转量子物质建立了微观平衡约束。

英文摘要

We derive a generalized fluctuation-dissipation theorem (FDT) for vector fields in rotating thermal equilibrium from an exact phase-space Kubo-Martin-Schwinger (KMS) relation. The resulting FDT contains rotation-induced tensorial contributions beyond a scalar thermal factor. In the local transport limit, we obtain a model-independent generalized Einstein relation with rotation in which, through second order in thermal vorticity, symmetric momentum diffusion depends on low-frequency spectral information beyond that encoded in the rotation-dependent dissipative drag. Remarkably, we find a new Einstein-type relation linking zero modes in the spectral function to the nonrotating drag coefficient. These zero modes underlie a new mechanism for the orbital polarization of heavy quarkonium. The same FDT constraint yields a modified detailed-balance relation whose first-order vortical correction is governed by transition polarization, without explicit dependence on the bath model. Our findings establish microscopic equilibrium constraints for studying rotating quantum matter in various fields.

Comments6 pages including references, plus 7 pages of Supplemental Material

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