We study the deviation from equilibrium with respect to a special class of states, the so called uniform and completely nonequilibrium, which were introduced and characterized in [11]. We compute explicitly such a deviation, we obtain an equivalent expression in terms of circulant matrices and give a bound for it. Finally, as an example, we make explicit computations in the three level case.

中文翻译：

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弱耦合极限类型 QMS 相对于均匀和完全非平衡不变态的平衡偏差

我们研究一类特殊状态的平衡偏差，即所谓的均匀状态和完全非平衡状态，这些状态在[11]中进行了介绍和表征。我们明确地计算这样的偏差，我们获得了循环矩阵的等价表达式并给出了它的界限。最后，作为一个例子，我们在三级情况下进行显式计算。