We investigate the stationary state of symmetric and totally asymmetric simple exclusion processes with local resetting, on a one-dimensional lattice with periodic boundary conditions, using mean-field approximations, which appear to be exact in the thermodynamic limit, and kinetic Monte Carlo simulations. In both cases we find that in the thermodynamic limit the models exhibit three different regimes, depending on how the resetting rate scales with the system size. The totally asymmetric version of the model has a particularly rich behaviour, especially in an intermediate resetting regime where the resetting rate vanishes as the inverse of the system size, exhibiting 4 different phases, including phase separation.

我们在具有周期性边界条件的一维晶格上研究对称和完全不对称简单排除过程的稳态和局部重置，使用平均场近似，这在热力学极限和动力学蒙特卡罗模拟中似乎是精确的。在这两种情况下，我们发现在热力学极限中，模型表现出三种不同的状态，这取决于重置率如何随系统大小而变化。该模型的完全不对称版本具有特别丰富的行为，尤其是在中间复位状态中，其中复位速率随着系统尺寸的倒数而消失，表现出 4 个不同的相，包括相分离。