经典Toda链的GGE平均电流
The GGE averaged currents of the classical Toda chain
摘要：
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，其平均保守领域，以及相应的电流的平均值。虽然平均场是很好理解的，但迄今为止，对平均电流的描述一直依赖于碰撞率假设。对于Toda链，速率假设可以数值研究。在这里，我们提供了令人信服的证据的有效性率假设。这进一步支持了广义欧拉型方程具有所有可积广延系统所共有的结构的观点。
英文摘要：
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.
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