### Abstract

The SpeckSeifert equality and the HatanoSasa equality are known to be bases to construct stationary state thermodynamics. The well known nonequilibrium relations, the Jarzynski equality and the fluctuation theorem, share the mathematical structure with the above equalities. This hidden common property motivates us to extend the Jarzynski equality to a relation applicable in the generalized dynamical system. As a result, we find several equalities which are able to be established in this generalized system described by the Langevin equation. These results easily reproduce the SpeckSeifert equality and the HatanoSasa equality. We hope that our formulation gives a new insight on nonequilibrium statistical physics.

Original language | English |
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Pages (from-to) | 790-793 |

Number of pages | 4 |

Journal | Physica E: Low-Dimensional Systems and Nanostructures |

Volume | 43 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2011 Jan 1 |

Externally published | Yes |

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Atomic and Molecular Physics, and Optics
- Condensed Matter Physics

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## Cite this

*Physica E: Low-Dimensional Systems and Nanostructures*,

*43*(3), 790-793. https://doi.org/10.1016/j.physe.2010.07.053