单原子链中高频振动孤子的超声运动
Supersonic motion of high frequency vibrational soliton in monatomic chain
摘要：
研究了具有三次和四次非简谐性的单原子链中的大尺度运动自局域振动（振动孤子）。这种振动的两种类型的运动被发现：亚音速和超音速的。第一类运动是可能的链硬四次非谐假设三次非谐是弱的。这种运动在早期的数值模拟中观察到。对于第二类运动，立方非谐性起着决定性的作用：这种非谐性引起的晶格的共同运动变形使运动模式稳定。在这种情况下，四次非谐性可能不存在，甚至是软的。
英文摘要：
Moving self-localized vibration of large size (vibrational soliton) in monatomic chain with cubic and quartic anharmonicities is considered. Two types of motion of such vibrations are found: the subsonic and the supersonic ones. First type of motion is possible for chains with hard quartic anharmonicity supposing that cubic anharmonicity is weak. This motion was earlier observed in numerical simulations. For the second type of motion the cubic anharmonicity plays the decisive role: the moving mode is stabilized by co-moving deformation of the lattice caused by this anharmonicity. The quartic anharmonicity in this case may be absent or even soft.
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