2016年1月4日
Regularized Boltzmann entropy determines macroscopic adiabatic accessibility
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- 記述言語
- 掲載種別
- 研究論文（学術雑誌）
How the thermodynamic entropy $S_{TD}$ is related to the Boltzmann entropy<br />
$S_{B}$ has been one of the central issues since the beginning of statistical<br />
mechanics. Today, it is believed that the thermodynamic entropy $S_{TD}$ is<br />
equal to a function $\tilde{S}_{B}$ that is defined by regularizing the<br />
Boltzman entropy in order to ensure extensivity. However, it is not known<br />
whether $\tilde{S}_{B}$ completely determines the possibility of a macroscopic<br />
adiabatic transformation in the same way as $S_{TD}$ does. In this paper, by<br />
formulating the possibility of a macroscopic adiabatic transformations in terms<br />
of "coarse-graining" of quantum operations, we prove that $\tilde{S}_{B}$<br />
provides a necessary and sufficient condition for the possibility of a<br />
macroscopic adiabatic transformation.
$S_{B}$ has been one of the central issues since the beginning of statistical<br />
mechanics. Today, it is believed that the thermodynamic entropy $S_{TD}$ is<br />
equal to a function $\tilde{S}_{B}$ that is defined by regularizing the<br />
Boltzman entropy in order to ensure extensivity. However, it is not known<br />
whether $\tilde{S}_{B}$ completely determines the possibility of a macroscopic<br />
adiabatic transformation in the same way as $S_{TD}$ does. In this paper, by<br />
formulating the possibility of a macroscopic adiabatic transformations in terms<br />
of "coarse-graining" of quantum operations, we prove that $\tilde{S}_{B}$<br />
provides a necessary and sufficient condition for the possibility of a<br />
macroscopic adiabatic transformation.
- ID情報
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- arXiv ID : arXiv:1601.00487