Effective Hamiltonian for traveling discrete breathers in the FPUchain

Michael Kastner; Jacques-Alexandre Sepulchre

doi:10.3934/dcdsb.2005.5.719

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2005, Volume 5, Issue 3: 719-734. Doi: 10.3934/dcdsb.2005.5.719

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Effective Hamiltonian for traveling discrete breathers in the FPU chain

Michael Kastner^1, and
Jacques-Alexandre Sepulchre^2,

1.
Physikalisches Institut, Theoretische Physik I, Universität Bayreuth, 95440 Bayreuth
2.
Institut Non Linéaire de Nice, 1361 Route des Lucioles, 06560 Sophia Antipolis

Received: September 2003

Revised: October 2004

Published: August 2005

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Abstract

For the Fermi-Pasta-Ulam chain, an effective Hamiltonian is constructed, describing the motion of approximate, weakly localized discrete breathers traveling along the chain. The velocity of these moving and localized vibrations can be estimated analytically as the group velocity of the corresponding wave packet. The Peierls-Nabarro barrier is estimated for strongly localized discrete breathers.

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Mathematics Subject Classification: 34C15, 37K05, 37K60, 70K70.

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