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The solvation force for the 2D Ising strip is calculated via exactdiagonalization of the transfer matrix in two cases: the symmetric casecorresponds to identical surface fields, and the antisymmetric case to exactlyopposite surface fields. In the symmetric case the solvation force is alwaysnegative (attractive) while in the antisymmetric case the solvation force ispositive (repulsive) at high temperatures and negative at low temperatures. Itchanges sign close to the critical wetting temperature characterizing thesemi--infinite system. The properties of the solvation force are discussed andthe scaling function describing its dependence on temperature, surface field,and strip's width is proposed.

Scaling of solvation force in 2D Ising strip