Non-thermal fluctuation and correlation of chaos in conservative systems

研究了混沌哈密顿系统的动力学和平衡态性质。特别是，我们研究了链式系统，其中质量通过刚性连杆或弹簧连接。对于质量通过刚性连杆连接的系统，质量的平均动能在链条末端附近具有过大的值。对于质量通过弹簧连接的系统，两端附近的平均动能会瞬时取过大的值。均分τ的松弛时间随弹性常数k的增大而迅速增长，与玻尔兹曼-让斯理论得到的τ∝exp(√^&lt；ck&gt；)式一致。结果表明，链状体系，如聚合物、DNA、蛋白质、人造物体等，在链端附近也显示出过剩的平均能量。

Dynamical and equilibrium properties of chaotic Hamiltonian systems are investigated. In particular, we studied chain-type systems where masses are connected by rigid links or springs. For systems where masses are connected by rigid links, average kinetic energies of masses take excessive large values near the ends of chain. For systems where masses are connected by springs, average kinetic energies near the ends transiently take excessive values. The relaxation time to equipartitionτgrows rapidly with the increase of the spring constant k. It is in agreement with the expressionτ∝exp(√^<ck>) obtained from Boltzmann-Jeans theory. The results imply that chain-type systems such as polymers, DNA, protein, artificial objects also show excess average energy near ends of the chain.