## SciPost Submission Page

# Duality and hidden equilibrium in transport models

### by Rouven Frassek, Cristian Giardina, Jorge Kurchan

### Submission summary

As Contributors: | Rouven Frassek |

Arxiv Link: | https://arxiv.org/abs/2004.12796v2 (pdf) |

Date submitted: | 2020-06-04 |

Submitted by: | Frassek, Rouven |

Submitted to: | SciPost Physics |

Discipline: | Physics |

Subject area: | Quantum Physics |

Approach: | Theoretical |

### Abstract

A large family of diffusive models of transport that has been considered in the past years admits a transformation into the same model in contact with an equilibrium bath. This mapping holds at the full dynamical level, and is independent of dimension or topology. It provides a good opportunity to discuss questions of time reversal in out of equilibrium contexts. In particular, thanks to the mapping one may define the free-energy in the non-equilibrium states very naturally as the (usual) free energy of the mapped system.

###### Current status:

Editor-in-charge assigned