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A ri proof of the effective potential (lattice corrections included) deducedby Trullinger and Sasaki is given. Using asymptotic methods from the theory ofdifferential equations depending on a large parameter, the lattice correctionsto the kink and kink-kink contributions to the free energy are calculated. Theresults are in complete agreement with a first order correction to the energyof the static kink.Comment: 12 pages,plainte

On the lattice corrections to the free energy of kink-bearing nonlinear one-dimensional scalar systems