论文信息 - Periodic thermal perturbation in a van der Waals fluid yield chaos: A Mel'nikov function approach

Periodic thermal perturbation in a van der Waals fluid yield chaos: A Mel'nikov function approach

This report discusses the application of the Mel'nikov technique to prove the existence of deterministic chaos in two problems for a van der Waals fluid. The first problem shows that temporal chaos results from small time periodic fluctuations about a subcritical temperature when the fluid is initially quenched into the unstable spinoidal region. The second problem arises from small spatially periodic fluctuation in a tube of fluid if the ambient pressure is appropriately chosen. Complete results may be found in Slemrod & Marsden [1].

M. Slemrod

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[3] P. Holmes,et al. A nonlinear oscillator with a strange attractor , 1979, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[4] J. S. Rowlinson,et al. Translation of J. D. van der Waals' “The thermodynamik theory of capillarity under the hypothesis of a continuous variation of density” , 1979 .