The Crooks relation and its connection to the detailed balance principle of equilibrium correlation functions

Markus Heyl; Stefan Kehrein

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arXiv · 1012.2209

The Crooks relation and its connection to the detailed balance principle of equilibrium correlation functions

Markus Heyl·Stefan Kehrein

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Abstract

We show that in the quantum case any work distribution can be related to an equilibrium correlation function in an extended Hilbert space. As a consequence of this identification the Crooks relation is a restatement of the detailed balance principle for equilibrium correlation functions. The presented derivation serves as an alternative proof of the Crooks relation residing only on the detailed balance principle.

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Markus Heyl, Stefan Kehrein. 2010-12-10. The Crooks relation and its connection to the detailed balance principle of equilibrium correlation functions. https://arxiv.org/abs/1012.2209

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