The GGE averaged currents of the classical Toda chain
The GGE averaged currents of the classical Toda chain
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DOI：
10.1088/1751-8121/ab5019
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发表时间：
2019-05
期刊：
影响因子：
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通讯作者：
Xiangyu Cao;V. B. Bulchandani;H. Spohn
中科院分区：
文献类型：
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作者：
Xiangyu Cao;V. B. Bulchandani;H. Spohn
研究了具有随机初始数据的Toda链。特别感兴趣的是广义吉布斯系综，它们的平均守恒场，以及相应电流的平均。虽然平均磁场已被很好地理解，但迄今为止，平均电流的描述仍依赖于碰撞率假设。对于Toda链，速率假设可以进行数值研究。在这里，我们为利率假设的有效性提供了令人信服的证据。这进一步支持了广义欧拉型方程具有所有可积广义系统共有的结构的观点。
The Toda chain with random initial data is studied. Of particular interest are generalized Gibbs ensembles, their averaged conserved fields, and the averages of the corresponding currents. While averaged fields are well-understood, the description of averaged currents has hitherto relied on the collision-rate assumption. For the Toda chain, the rate assumption can be investigated numerically. Here, we provide convincing evidence for the validity of the rate assumption. This lends further support to the idea that generalized Euler-type equations have a structure common to all integrable extensive systems.