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arXiv · 0906.1876

A generalized integral fluctuation theorem for general jump processes

Fei Liu·Yu-Pin Luo·Ming-Chang Huang·Zhong-can Ou-Yang
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Abstract

Using the Feynman-Kac and Cameron-Martin-Girsanov formulas, we obtain a generalized integral fluctuation theorem (GIFT) for discrete jump processes by constructing a time-invariable inner product. The existing discrete IFTs can be derived as its specific cases. A connection between our approach and the conventional time-reversal method is also established. Different from the latter approach that was extensively employed in existing literature, our approach can naturally bring out the definition of a time-reversal of a Markovian stochastic system. Additionally, we find the robust GIFT usually does not result into a detailed fluctuation theorem.

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Fei Liu, Yu-Pin Luo, Ming-Chang Huang, Zhong-can Ou-Yang. 2009-06-10. A generalized integral fluctuation theorem for general jump processes. https://arxiv.org/abs/0906.1876

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