论文标题

来自等电位水平的Riemannian几何形状的构型微型统计力学

Configurational microcanonical statistical mechanics from Riemannian geometry of equipotenital level sets

论文作者

Gori, Matteo

论文摘要

在目前的工作中,我们介绍了最初在[Gori等人,\ textit {j。统计Mech。},\ textbf {9} 093204(2018)在配置空间和相空间上,使我们可以根据与设备水平集相关的额外的粒度量的积分来解释配置微观熵和规范熵的衍生物。

In the present work, we present a detailed discussion of a Riemannian metric structure originally introduced in [Gori et al., \textit{J. Stat. Mech.}, \textbf{9} 093204 (2018)] on the configuration space and on phase space allowing us to interpret the derivatives of the configurational microcanonical entropy and of the canonical entropy in terms of integrals of extrinsic geometrical quantities associated with the equipotential level sets.

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