Energy transport and correlation between two attractors connected by Fermi-Pasta-Ulam chain

Details Energy transport and correlation between two attractors connected by Fermi-Pasta-Ulam chain Energy transport and correlation between two attractors connected by Fermi-Pasta-Ulam chain

1998-02-12

arxiv.org/abs/chao-dyn/9802010v1

Physics

Condensed Matter

6 Revtex pages, 3 Ps figures included (Figs 4 and 5 are available upon request (too big!))

Scientific paper

10.1088/0305-4470/31/38/008

We study numerically time evolution of a system which consists of two attractors connected by Fermi-Pasta-Ulam (FPU) chain. It is found that after sufficiently long time there exits self-consistent large scale structure in the system. The wavelet transform is used to separate the modes in different scales. We found that the nonlinear long wavelength mode propagating along the chain assists the energy transport. Further, all points in the system are found to be correlated. Our results explain satisfactorily why the chaotic behaviour is not enough to ensure the Fourier heat law and the thermal conductivity diverges as it is found recently by Lepri et al (PRL 78, 1897(1997).).

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