Unified approach to the derivation of work theorems for equilibrium and steady-state, classical and quantum Hamiltonian systems.
Unified approach to the derivation of work theorems for equilibrium and steady-state, classical and quantum Hamiltonian systems.
复制标题
导出平衡和稳态、经典和量子哈密顿系统功定理的统一方法。
DOI：
10.1103/physreve.78.011116
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
D. Kosov
中科院分区：
文献类型：
--
作者：
M. Gelin;D. Kosov
我们提出了一个统一的和简单的方法来推导工作定理的经典和量子哈密顿系统，无论是在平衡条件下，并在一个稳定的状态。在整个文件中，我们采用了分区的总哈密顿系统的一部分，浴的一部分，和他们的耦合。我们重新推导了文献中已有的许多等式，并得到了非平衡经典和量子系统的一些新的等式。我们的研究结果可以用于确定分配函数和（广义）自由能通过模拟或测量非平衡系统。
We present a unified and simple method for deriving work theorems for classical and quantum Hamiltonian systems, both under equilibrium conditions and in a steady state. Throughout the paper, we adopt the partitioning of the total Hamiltonian into the system part, the bath part, and their coupling. We rederive many equalities which are available in the literature and obtain a number of new equalities for nonequilibrium classical and quantum systems. Our results can be useful for determining partition functions and (generalized) free energies through simulations or measurements performed on nonequilibrium systems.