The monoatomic FPU system as a limit of a diatomic FPU system
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چکیده
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a study on construction of iranian life tables: the case study of modified brass logit system
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We present a detailed analysis of the modulational instability of the zone-boundary mode for one and higher-dimensional Fermi-Pasta-Ulam (FPU) lattices. Following this instability, a process of relaxation to equipartition takes place, which we have called the Anti-FPU problem because the energy is initially fed into the highest frequency part of the spectrum, at variance with the original FPU p...
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We present an analytical study of the Fermi–Pasta–Ulam (FPU) α– model with periodic boundary conditions. We analyze the dynamics corresponding to initial data with some low frequency Fourier modes excited. We show that, correspondignly, a pair of KdV equations constitute the resonant normal form of the system. We also use such a normal form in order to prove the existence of a metastability phe...
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The equilibrium value of an observable defines a manifold in the phase space of an ergodic and equipartitioned many-body system. A typical trajectory pierces that manifold infinitely often as time goes to infinity. We use these piercings to measure both the relaxation time of the lowest frequency eigenmode of the Fermi-Pasta-Ulam chain, as well as the fluctuations of the subsequent dynamics in ...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2020
ISSN: 0893-9659
DOI: 10.1016/j.aml.2020.106387