由电池或平滑变化的场驱动的扩散系统
A diffusive system driven by a battery or by a smoothly varying field
摘要：
我们考虑一维扩散系统的稳态，如环上的对称简单排斥过程（SSEP），由原点的电池或由沿环的平滑变化的场驱动。当场在原点处变成δ函数时，电池作为平滑变化场的极限情况出现。我们发现，在标度限制，由电池驱动的系统的长程对关联函数原来是非常不同的，从已知的SSEP的稳态保持平衡与两个水库接触，即使当稳态密度分布是相同的两个模型。
英文摘要：
We consider the steady state of a one dimensional diffusive system, such as the symmetric simple exclusion process (SSEP) on a ring, driven by a battery at the origin or by a smoothly varying field along the ring. The battery appears as the limiting case of a smoothly varying field, when the field becomes a delta function at the origin. We find that in the scaling limit, the long range pair correlation functions of the system driven by a battery turn out to be very different from the ones known in the steady state of the SSEP maintained out of equilibrium by contact with two reservoirs, even when the steady state density profiles are identical in both models.
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