Movability of Localized Excitations in Nonlinear Discrete Systems - a Separatrix Problem

Details Movability of Localized Excitations in Nonlinear Discrete Systems - a Separatrix Problem Movability of Localized Excitations in Nonlinear Discrete Systems - a Separatrix Problem

1994-03-14

arxiv.org/abs/cond-mat/9403053v1

Physics

Condensed Matter

11 pages, LaTeX, 2 Figures, available upon request, accepted for publication in Phys.Rev.Lett

Scientific paper

10.1103/PhysRevLett.72.1777

We analyze the effect of internal degrees of freedom on the movability properties of localized excitations on defect-free nonlinear Hamiltonian lattices by means of properties of a local phase space which is at least of dimension six. We formulate generic properties of a movability separatrix in this local phase space. We prove that due to the presence of internal degrees of freedom of the localized excitation it is generically impossible to define a Peierls-Nabarro potential in order to describe the motion of the excitations through the lattice. The results are verified analytically and numerically for Fermi-Pasta-Ulam chains.

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