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.

中文翻译：

---

运输模型中的对偶和隐藏均衡

过去几年中考虑的一大批扩散扩散模型允许与平衡浴接触转化为同一模型。此映射保持完整的动力学级别，并且与尺寸或拓扑无关。它提供了一个很好的机会来讨论在非均衡环境下的时间倒转问题。特别地，由于映射，人们可以非常自然地将处于非平衡状态的自由能定义为被映射系统的（通常）自由能。