Dynamics of relaxing systems subjected to nonlinear interactions
Dynamics of relaxing systems subjected to nonlinear interactions
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DOI：
10.1103/physreve.56.r17
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发表时间：
1997-07
影响因子：
2.4
通讯作者：
K. Y. Tsang;K. Ngai
中科院分区：
文献类型：
--
作者：
K. Y. Tsang;K. Ngai
结合费米映射系统和半个体育场的研究，以确定在著名的费米加速问题的附加非线性的影响。在费米-体育场地图与不同的R的弛豫进行了比较，在费米地图。发现不同的R值对弛豫有延迟作用。在一个交叉时间之后，费米弛豫可以由指数函数来近似，而费米场弛豫可以由拉伸指数函数来近似。分数指数β随着非线性的增加而从1进一步减小。这一结果与耦合模型所提出的基本特征以及中子散射在玻璃形成材料中的实验观察到的基本特征具有很强的相似性。
The combination of the Fermi map system and half a stadium is studied to determine the effect of additional nonlinearity in the well known Fermi acceleration problem. The relaxation in the Fermi-stadium map with different R’s is compared to that in the Fermi map. The relaxation is found retarded for different values of R. After a crossover time, the Fermi relaxation can be approximated by an exponential function, while the Fermi-stadium relaxation can be approximated by a stretched-exponential function. The fractional exponent β decreases further from unity with increasing nonlinearity. The result bears strong similarity to the basic features suggested by the coupling model and seen experimentally in glass-forming materials by neutron scattering.