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Discreteness effects in a Phi 4 chain with long-range interactions

The authors study the influence of discreteness on kink motion in a one-dimensional Phi 4 chain with long-range atomic interactions of Kac-Baker type. They use a discretized Hamiltonian formalism in which the kink appears as a canonical degree of freedom. It is shown that the kink oscillatory motion and lattice trapping processes depend strongly on the range of interaction.