弹簧链系统中均分的慢松弛
Slow relaxation to equipartition in spring-chain systems
摘要：
在这项研究中，一维系统的质量连接的弹簧，即，弹簧链系统，数值研究。这些系统的链端粒子的平均动能大于其他粒子的平均动能，这与由刚性链接连接的质量组成的系统所观察到的行为相似。然而，末端粒子的高能运动是瞬态的，并且系统在一段时间后弛豫到热平衡，其中每个粒子的平均动能相同，即实现能量均分。这与由刚性链接连接的质量组成的系统的情况相反，在这种情况下，在平衡状态下观察到末端粒子的高能运动。通过模拟估计的松弛时间尺度随着弹性常数的增加而迅速增加。的时间尺度也估计使用Boltzmann-Jeans理论，并发现是在相当好的协议，通过模拟得到的。
英文摘要：
In this study, one-dimensional systems of masses connected by springs, i.e., spring-chain systems, are investigated numerically. The average kinetic energy of chain-end particles of these systems is larger than that of other particles, which is similar to the behavior observed for systems made of masses connected by rigid links. The energetic motion of the end particles is, however, transient, and the system relaxes to thermal equilibrium after a while, where the average kinetic energy of each particle is the same, that is, equipartition of energy is achieved. This is in contrast to the case of systems made of masses connected by rigid links, where the energetic motion of the end particles is observed in equilibrium. The timescale of relaxation estimated by simulation increases rapidly with increasing spring constant. The timescale is also estimated using the Boltzmann-Jeans theory and is found to be in quite good agreement with that obtained by the simulation.
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