论文标题
微观随机影响下无限谐波链的能量生长
Energy Growth of Infinite Harmonic Chain under Microscopic Random Influence
论文作者
论文摘要
已经考虑了具有有限范围翻译不变相互作用的点粒子的无限谐波链。假定唯一受白噪声影响的粒子。当时间流入无限时，我们研究了系统能量的显微镜和宏观行为（潜在的，动力学，总）。我们证明，在相互作用潜力的一般条件下，能量随着宏观尺度的时间线性生长，并在微观尺度上成长为$ \ ln（t）$。此外，事实证明，该系统在这种非平衡设置中具有某些电气特性。
Infinite harmonic chains of point particles with finite range translation invariant interaction have considered. It is assumed that the only one particle influenced by the white noise. We studied microscopic and macroscopic behavior of the system's energies (potential, kinetic, total) when time goes to infinity. We proved that under quite general condition on interaction potential the energies grow linearly with time on macroscopic scale, and grow as $\ln(t)$ on microscopic scale. Moreover it is turned out that the system exhibit some equipartition properties in this non equilibrium settings.
