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arXiv 2609.12222gr-qccond-mat.stat-mech

加速参考系中温度的经典与量子视角

Classical and quantum perspectives on temperature in accelerated frames

  • Islamic Azad University(伊斯兰阿扎德大学)

机构由 AI 辅助整理,请以论文原文为准。

Babak Vakili

AI总结:

本文在相对论热力学框架下,通过能量-动量守恒推导出加速参考系中完美流体的热平衡条件,得到与Tolman-Ehrenfest关系一致的位置依赖温度分布,强调其表征局部热力学平衡而非观测者变换效应。

AI中文摘要:

我们在相对论热力学框架内研究均匀加速参考系中的温度概念。考虑在非惯性(Rindler)参考系中静止的完美流体,我们从能量-动量守恒推导出热平衡条件。这导致一个与Tolman-Ehrenfest关系一致的位置依赖温度分布。我们强调,该温度表征了加速参考系中流体的局部热力学平衡,并非源于不同观测者之间的变换定律。文中简要讨论了结果的物理解释及其与加速度诱导效应的关系。

英文摘要:

We study the notion of temperature in uniformly accelerated frames within a relativistic thermodynamic framework. Considering a perfect fluid at rest in a non-inertial (Rindler) frame, we derive the condition for thermal equilibrium from energy--momentum conservation. This leads to a position-dependent temperature profile consistent with the Tolman--Ehrenfest relation. We emphasize that this temperature characterizes the local thermodynamic equilibrium of the fluid in the accelerated frame and does not arise from a transformation law between different observers. The physical interpretation of the result and its relation to acceleration-induced effects are briefly discussed.

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