论文标题
两种物种的整合性部分不对称排除过程
Integrability of two-species partially asymmetric exclusion processes
论文作者
论文摘要
我们致力于将所有一维排除过程的分类与两种粒子物种可以通过嵌套坐标bethe bethe ansatz解决。使用Yang-Baxter方程，我们获得了模型参数的条件，以确保基础系统是可集成的。因此，找到了三类的集成模型。其中，两个类别在文献中是众所周知的，但是直到最近才研究第三个类，也从未在伯特·安萨兹（Bethe Ansatz）的背景下进行研究。 BETHE方程是针对后一个模型以及编码大型电流偏差的相关动力学得出的。
We work towards the classification of all one-dimensional exclusion processes with two species of particles that can be solved by a nested coordinate Bethe Ansatz. Using the Yang-Baxter equations, we obtain conditions on the model parameters that ensure that the underlying system is integrable. Three classes of integrable models are thus found. Of these, two classes are well known in literature, but the third has not been studied until recently, and never in the context of the Bethe ansatz. The Bethe equations are derived for the latter model as well as for the associated dynamics encoding the large deviation of the currents.
