摘要翻译：
我们介绍了一个简单的公式，用于计算形式为$\hat{\delta T}(T)=\intd^3\vec{r}\delta T(\vec{r},T)q(\vec{r}）$的与温度有关的量的热涨落谱。这里$t(\vec{r},t)$是位置$\vec{r}$和时间$t$的局部温度，而$q(\vec{r}）$是一个任意函数。作为一个可能应用的例子，我们计算了LIGO中热折射涂层噪声的光谱，发现与Braginsky、Gorodetsky和Vyatchanin的计算完全一致。我们的方法具有计算上的优势，特别是对于非规则或非对称的几何，以及对于$q(\vec{r}）$在总体积中的很大一部分不可忽略的情况。
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英文标题：
《Fluctuation-dissipation theorem for thermo-refractive noise》
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作者：
Yuri Levin (Leiden University)
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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：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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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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一级分类：Physics        物理学
二级分类：General Relativity and Quantum Cosmology        广义相对论与量子宇宙学
分类描述：General Relativity and Quantum Cosmology Areas of gravitational physics, including experiments and observations related to the detection and interpretation of gravitational waves, experimental tests of gravitational theories, computational general relativity, relativistic astrophysics, solutions to Einstein's equations and their properties, alternative theories of gravity, classical and quantum cosmology, and quantum gravity.
广义相对论和量子宇宙学引力物理领域，包括与探测和解释引力波有关的实验和观测、引力理论的实验检验、计算广义相对论、相对论天体物理学、爱因斯坦方程及其性质的解、引力的替代理论、经典宇宙学和量子宇宙学以及量子引力。
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英文摘要：
  We introduce a simple prescription for calculating the spectra of thermal fluctuations of temperature-dependent quantities of the form $\hat{\delta T}(t)=\int d^3\vec{r} \delta T(\vec{r},t) q(\vec{r})$. Here $T(\vec{r}, t)$ is the local temperature at location $\vec{r}$ and time $t$, and $q(\vec{r})$ is an arbitrary function. As an example of a possible application, we compute the spectrum of thermo-refractive coating noise in LIGO, and find a complete agreement with the previous calculation of Braginsky, Gorodetsky and Vyatchanin. Our method has computational advantage, especially for non-regular or non-symmetric geometries, and for the cases where $q(\vec{r})$ is non-negligible in a significant fraction of the total volume.
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PDF链接：
https://arxiv.org/pdf/710.271