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摘要翻译：
温度概念是描述物理系统热力学性质的关键思想之一。在理想气体的经典统计力学中，温度的概念可以用两种不同的方式来描述，即动力学温度和热力学温度。对于玻尔兹曼分布，这两个概念导致了相同的结果。然而，对于一般的概率密度函数，虽然常用的是动力学温度，但似乎没有相应的热力学温度的一般定义。在本文中，我们提出了这样一个定义，并证明了它是与动量分布相关的Fisher信息有关的。
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英文标题：
《On the Thermodynamic Temperature of a General Distribution》
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作者：
Krishna R. Narayanan and Arun R. Srinivasa
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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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英文摘要：
The concept of temperature is one of the key ideas in describing the thermodynamical properties of a physical system. In classical statistical mechanics of ideal gases, the notion of temperature can be described in two different ways, the kinetic temperature and the thermodynamic temperature. For the Boltzmann distribution, the two notions lead to the same result. However, for a general probability density function, while the kinetic temperature has been commonly used, there appears to be no corresponding general definition of thermodynamic temperature. In this paper, we propose such a definition and show that it is connected to the Fisher information associated with the distribution of the momenta.
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PDF链接：
https://arxiv.org/pdf/711.146
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