Temporal and spatial chaos in a van der Waals fluid due to periodic thermal fluctuations
Temporal and spatial chaos in a van der Waals fluid due to periodic thermal fluctuations
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DOI：
10.1016/0196-8858(85)90008-9
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发表时间：
1985-06
影响因子：
1.1
通讯作者：
M. Slemrod;J. Marsden
中科院分区：
文献类型：
--
作者：
M. Slemrod;J. Marsden
应用Mel‘nikov技巧证明了van der Waals流体的两个问题的确定性混沌的存在性。第一个问题表明，当流体在不稳定的螺旋体区域内初始冷却时，时间混沌是在亚临界温度附近的小时间周期涨落的结果。第二个问题表明，如果选择适当的环境压力，空间混沌是由无限大流体管内微小的空间周期函数引起的。
The Mel'nikov technique is applied to prove the existence of deterministic chaos in two problems for a van der Waals fluid. The first problem shows that temporal chaos results as a result of small time periodic fluctuations about a subcritical temperature when the fluid is initially quenched in the unstable spinoidal region. The second problem shows that spatial chaos arises from small spatially periodic flunctions in an infinite tube of fluid if the ambient pressure is appropriately chosen.