Hamiltonian Derivations of the Generalized Jarzynski Equalities under Feedback Control
Hamiltonian Derivations of the Generalized Jarzynski Equalities under Feedback Control
复制标题
反馈控制下广义Jarzynski方程的哈密顿导数
DOI：
10.1088/1742-6596/297/1/012015
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
Takahiro Sagawa
中科院分区：
文献类型：
--
作者：
Takahiro Sagawa;Hisao Hayakawa;沙川貴大,上田正仁;Takahiro Sagawa
在存在”麦克斯韦恶魔”反馈控制的情况下，热力学第二定律和非平衡方程如Jarzynski方程需要推广。本文基于刘维定理推导了经典Hamilton动力学的广义Jarzynski等式，这与Jarzynski等式的原始证明方法相同。所得到的等式导致在反馈控制的存在下的哈密顿系统的热力学第二定律的推广。
In the presence of feedback control by" Maxwell's demon," the second law of thermodynamics and the nonequilibrium equalities such as the Jarzynski equality need to be generalized. In this paper, we derive the generalized Jarzynski equalities for classical Hamiltonian dynamics based on the Liouville's theorem, which is the same approach as the original proof of the Jarzynski equality. The obtained equalities lead to the generalizations of the second law of thermodynamics for the Hamiltonian systems in the presence of feedback control.