双原子FPU链中光支能量的冻结
Freezing of the optical--branch energy in a diatomic FPU chain
摘要：
本文研究了质量分别为$m_1$和$m_2$的双原子链中光支模和声支模之间的能量交换。我们证明了，在小的温度和提供$m_1\gg m_2$，对于大多数的初始数据的每个分支的能量是近似恒定的时间顺序$β^{S/2}$，其中$S=\lfloor \sqrt{m_1/m_2}/2\rfloor$和$β$是逆温度。结果在热力学极限内是一致的。
英文摘要：
We study the exchange of energy between the modes of the optical branch and those of the acoustic one in a diatomic chain of particles, with masses $m_1$ and $m_2$. We prove that, at small temperature and provided $m_1\gg m_2$, for the majority of the initial data the energy of each branch is approximately constant for times of order $β^{S/2}$, where $S=\lfloor \sqrt{m_1/m_2}/2\rfloor$ and $β$ is the inverse temperature. The result is uniform in the thermodynamic limit.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
