Geometrical aspects and connections of the energy–temperature fluctuation relation
Geometrical aspects and connections of the energy–temperature fluctuation relation
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DOI：
10.1088/1751-8113/42/33/335003
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发表时间：
2009-07
期刊：
影响因子：
--
通讯作者：
L. Velázquez;S. Curilef
中科院分区：
文献类型：
--
作者：
L. Velázquez;S. Curilef
最近，我们导出了热容C与能量涨落之间的正则涨落关系kBC = β2 <$δU2 <$，它可以解释负热容C < 0的宏观态的存在.在这项工作中，我们提出了一个全景式的直接影响和连接的波动定理与统计力学的其他发展，如典型的Monte Carlo方法的扩展，波动理论的几何公式和相关的几何扩展的吉布斯正则系综，最近提出的文献。
Recently, we have derived a generalization of the known canonical fluctuation relation kBC = β2⟨δU2⟩ between heat capacity C and energy fluctuations, which can account for the existence of macrostates with negative heat capacities C < 0. In this work, we present a panoramic overview of direct implications and connections of this fluctuation theorem with other developments of statistical mechanics, such as the extension of canonical Monte Carlo methods, the geometric formulations of fluctuation theory and the relevance of a geometric extension of the Gibbs canonical ensemble that has been recently proposed in the literature.