Title: Localized Modes in the Long-Time Behavior of Anharmonic Lattices
Abstract:The time evolution of pure anharmonic lattices with quartic, positive lattice anharmonicity is studied by transforming nonlinear differential-difference equations into nonlinear integro-difference equ...The time evolution of pure anharmonic lattices with quartic, positive lattice anharmonicity is studied by transforming nonlinear differential-difference equations into nonlinear integro-difference equations with kernels given by lattice Green's functions. Such a formulation enables us to treat one-, two-, and three-dimensional lattices on equal footing. By studying the asymptotic properties for t →∞ of the equations, it is shown that a long-lived, spatially localized oscillatory mode can exist under certain conditions for each of these three cases. A quasi-nonergodic behavior of anharmonic lattices obtained here may be of different nature from that found by Fermi, Pasta, and Ulam.Read More
Publication Year: 1990
Publication Date: 1990-05-15
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 37
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