论文标题
单文件扩散中的二元关系
Duality relations in single-file diffusion
论文作者
论文摘要
单文件运输对应于无法在狭窄的通道中彼此相互越过的颗粒的扩散，这是平衡外统计物理学的重要主题。已经考虑了单文件系统的各种微观模型，例如简单的排除过程，已达到范式模型的状态。几种不同模型的单文件扩散模型已通过二元性关系相关，该关系在显微镜下或仅在大距离和较大距离的流体动力极限中。在这里，我们表明，在波动流体动力学的框架内，这些关系并非特定于这些模型，并且在流体动力学极限中，每个单文件系统都可以映射到我们表征的双单文件系统上。这种一般的二元性关系使我们能够通过利用可用于双重模型的解决方案来获得不同模型的新结果。
Single-file transport, which corresponds to the diffusion of particles that cannot overtake each other in narrow channels, is an important topic in out-of-equilibrium statistical physics. Various microscopic models of single-file systems have been considered, such as the simple exclusion process, which has reached the status of a paradigmatic model. Several different models of single-file diffusion have been shown to be related by a duality relation, which holds either microscopically or only in the hydrodynamic limit of large time and large distances. Here, we show that, within the framework of fluctuating hydrodynamics, these relations are not specific to these models and that, in the hydrodynamic limit, every single-file system can be mapped onto a dual single-file system, which we characterise. This general duality relation allows us to obtain new results for different models, by exploiting the solutions that are available for their dual model.
