Movability of Localized Excitations in Nonlinear Discrete Systems - a Separatrix Problem
arXiv:cond-mat/9403053 · doi:10.1103/PhysRevLett.72.1777
Abstract
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.
11 pages, LaTeX, 2 Figures, available upon request, accepted for publication in Phys.Rev.Lett
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