Collisionless shocks are multiscale objects. Energetic ion distributions are gyrotropic at sufficiently large distances upstream and downstream of the shock transition while at the transition itself the ion dynamics is significantly gyrophase dependent. Magnetic-moment conservation of an ion is widely used as a viable approximation during the shock crossing. It is shown that this approximation is inconsistent with the required entropy increase due to the loss of the gyrophase information.

中文翻译：

---

在无碰撞冲击中，磁矩守恒与熵的增加不一致。

无碰撞冲击是多尺度的对象。高能离子分布在冲击过渡上游和下游足够大的距离处是回旋的，而在跃迁本身上，离子动力学则显着取决于回旋相。离子的磁矩守恒被广泛用作冲击穿越过程中的可行近似。结果表明，由于旋相信息的丢失，这种近似与所需的熵增加不一致。