Solitons as candidates for energy carriers in Fermi-Pasta-Ulam lattices
نویسندگان
چکیده
منابع مشابه
Discrete breathers in Fermi-Pasta-Ulam lattices.
We study the properties of spatially localized and time-periodic excitations--discrete breathers--in Fermi-Pasta-Ulam (FPU) chains. We provide a detailed analysis of their spatial profiles and stability properties. We especially demonstrate that the Page mode is linearly stable for symmetric FPU potentials. A resonant interaction between a localized and delocalized perturbations causes weak but...
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The dynamics of energy relaxation in thermalized oneand twodimensional arrays with nonlinear interactions depend in detail on the interactions and, in some cases, on dimensionality. We describe and explain these differences for arrays of the Fermi-Pasta-Ulam type. In particular, we focus on the roles of harmonic contributions to the interactions and of breathers in the relaxation process. PACS ...
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– We use the sharp pulse method to perform numerical experiments aimed at exciting moving high energy strongly localized kink-solitons in the Fermi-Pasta-Ulam chain of anharmonic oscillators. An approximate analytical expression of the kink-soliton is derived. This is compatible with the fact that these objects move with ultrasonic velocities, proportional to stiffness. For low excitation energ...
متن کاملBright and dark breathers in Fermi-Pasta-Ulam lattices
In this paper we study the existence and linear stability of bright and dark breathers in one-dimensional FPU lattices. On the one hand, we test the range of validity of a recent breathers existence proof [G. James, C. R. Acad. Sci., Ser. I: Math, 332, 581 (2001)] using numerical computations. Approximate analytical expressions for small amplitude bright and dark breathers are found to fit very...
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The pioneering computer simulations of the energy relaxation mechanisms performed by Fermi, Pasta, and Ulam (FPU) can be considered as the first attempt of understanding energy relaxation and thus heat conduction in lattices of nonlinear oscillators. In this paper we describe the most recent achievements about the divergence of heat conductivity with the system size in one-dimensional (1D) and ...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2018
ISSN: 2470-0045,2470-0053
DOI: 10.1103/physreve.97.012221