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arXiv math-ph/0702024math-phmath.MPmath.PR
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受控马尔可夫演化的熵产生

On entropy production for controlled Markovian evolution

M. Pavon, F. Ticozzi

摘要:

我们考虑具有多个自由度并受外部控制作用的热力学系统。我们得到了控制力对相对熵产生率的依赖关系的一些基本结果。简述了它在大分子冷却和控制收敛到平衡速率方面的应用。对于封闭和开放的n能级量子系统也得到了类似的结果。

英文摘要:

We consider thermodynamic systems with finitely many degrees of freedom and subject to an external control action. We derive some basic results on the dependence of the relative entropy production rate on the controlling force. Applications to macromolecular cooling and to controlling the convergence to equilibrium rate are sketched. Analogous results are derived for closed and open n-level quantum systems.

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