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Phys. Rev. B 45, 10344–10347 (1992)

Numerical measurements of the shape and dispersion relation for moving one-dimensional anharmonic localized modes

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S. R. Bickham and A. J. Sievers
Laboratory of Atomic and Solid State Physics and Materials Science Center, Cornell University, Ithaca, New York 14853-2501

S. Takeno
Department of Physics, Faculty of Engineering and Design, Kyoto Institute of Technology, Kyoto, Japan

Received 26 November 1991; published in the issue dated 1 May 1992

Computer simulations show that in a one-dimensional lattice both even and odd anharmonic localized modes can move with constant velocity. For nearest-neighbor forces described by a harmonic plus hard quartic potential, the dispersion relation ω(k) has been calculated for both types of modes. Numerical experiments show that, in general, moving modes with a near-Gaussian excitation envelope occur in parts of ω(k) space, with this region becoming more restricted as the local-mode frequency increases.

© 1992 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.45.10344
DOI:
10.1103/PhysRevB.45.10344
PACS:
63.20.Ry, 63.20.Mt, 63.20.Pw, 67.80.Mg