标题： 稳态电流之间的仿射关系 显示英文标题

标题： Affine relationships between steady currents

摘要： 在稳态非平衡系统中扰动跃迁速率，例如由马尔可夫跳跃过程建模的系统，会导致局部电流的变化。它们的敏感度通常通过格林-库博关系或其非平衡扩展来表示。然而，我们可能也希望直接表达电流之间的相互关系。这种非微扰的相互关系由P.E. Harunari等人在[1]中通过应用代数图论发现，展示了图中不同边上的电流之间的相互线性关系。我们给出了一个新颖且更简短的电流关系推导，其中我们将电流-电流敏感度表示为平均首次通过时间的差值。这允许扩展到多个电流，尽管关系仍然是仿射的，但该关系不是加性的。 显示英文摘要

摘要： Perturbing transition rates in a steady nonequilibrium system, e.g. modelled by a Markov jump process, causes a change in the local currents. Their susceptibility is usually expressed via Green-Kubo relations or their nonequilibrium extensions. However, we may also wish to directly express the mutual relation between currents. Such a nonperturbative interrelation was discovered by P.E. Harunari et al. in [1] by applying algebraic graph theory showing the mutual linearity of currents over different edges in a graph. We give a novel and shorter derivation of that current relationship where we express the current-current susceptibility as a difference in mean first-passage times. It allows an extension to multiple currents, which remains affine but the relation is not additive.