论文标题
单原子FPU系统作为双原子FPU系统的限制
The monoatomic FPU system as a limit of a diatomic FPU system
论文作者
论文摘要
我们考虑具有轻质和重颗粒的二式无限的Fermi-Pasta-Ulam（FPU）系统。对于较小的质量比，我们通过Monoatomic FPU系统的动力学证明了该系统动力学近似的错误估计。光颗粒被沉重的颗粒以其位移的平均值挤压。误差估计是通过能量方法得出的，并且可以足够长时间保持，为此观察到单原子FPU系统的动力学。近似结果仅限于相对彼此相对较小的重量位移。
We consider a diatomic infinite Fermi-Pasta-Ulam (FPU) system with light and heavy particles. For a small mass ratio, we prove error estimates for the approximation of the dynamics of this system by the dynamics of the monoatomic FPU system. The light particles are squeezed by the heavy particles at the mean value of their displacements. The error estimates are derived by means of the energy method and hold for sufficiently long times, for which the dynamics of the monoatomic FPU system is observed. The approximation result is restricted to sufficiently small displacements of the heavy particles relatively to each other.
