Localization and equipartition of energy in the β-FPU chain: Chaotic breathers
نویسندگان
چکیده
منابع مشابه
2 4 D ec 1 99 7 LOCALIZATION AND EQUIPARTITION OF ENERGY IN THE β - FPU CHAIN : CHAOTIC BREATHERS
The evolution towards equipartition in the β-FPU chain is studied considering as initial condition the highest frequency mode. Above an analytically derived energy threshold, this zone-boundary mode is shown to be modulationally unstable and to give rise to a striking localization process. The spontaneously created excitations have strong similarity with moving exact breathers solutions. But th...
متن کامل1 8 Se p 19 97 LOCALIZATION AND EQUIPARTITION OF ENERGY IN THE β - FPU CHAIN : CHAOTIC BREATHERS .
The evolution towards equipartition in the β-FPU chain is studied considering as initial condition the highest frequency mode. Above an analytically derived energy threshold, this zone-boundary mode is shown to be modulationally unstable and to give rise to a striking localization process. The spontaneously created excitations have strong similarity with moving exact breathers solutions. But th...
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This paper is devoted to the derivation of a macroscopic diffusion equation (Fourier’s law) describing the transport of energy in an anharmonic chain. More precisely, we study here the so-called FPU-β chain, which is a very simple model for a one-dimensional crystal in which atoms are coupled to their nearest neighbors by a harmonic potential, weakly perturbed by a quartic potential. The starti...
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We consider the energy current correlation function for the FPU-β lattice. For small non-linearity one can rely on kinetic theory. The issue reduces then to a spectral analysis of the linearized collision operator. We prove thereby that, on the basis of kinetic theory, the energy current correlations decay in time as t−3/5. It follows that the thermal conductivity is anomalous, increasing as N ...
متن کاملTail resonances of FPU q-breathers and their impact on the pathway to equipartition
Upon initial excitation of a few normal modes the energy distribution among all modes of a nonlinear atomic chain (the Fermi-PastaUlam model) exhibits exponential localization on large time scales. At the same time resonant anomalies (peaks) are observed in its weakly excited tail for long times preceding equipartition. We observe a similar resonant tail structure also for exact time-periodic L...
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ژورنال
عنوان ژورنال: Physica D: Nonlinear Phenomena
سال: 1998
ISSN: 0167-2789
DOI: 10.1016/s0167-2789(98)00107-9