Abstract
A mean-field theory of intrinsic localized modes (ILMs) in anharmonic lattices is proposed, which allows one to perform calculations for macroscopically large lattices of arbitrary dimensions with realistic pair potentials. In the theory, the original nonlinear problem is reduced to a linear problem of mode localization on the self-consistent harmonic local potential. This enables us to apply the Lifshitz method of the perturbed local dynamics of phonons for the calculations of ILMs. In order to check the theory, the characteristics of the ILMs in a diatomic chain with the Born-Mayer-Coulomb pair potential are found and compared with the corresponding molecular-dynamics simulations. The results of both considerations are in a very good agreement.
Published Version
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