Scaling of solvation forces in 2D ising stripes

Marek Napiórkowski

University of Warsaw, Institut of Theoretical Physics, Warszawa, Poland

The solvation forces in 2D Ising stripes are calculated via exact diagonalization of the transfer matrix. They are functions of temperature, boundary fields, and width of the stripe. Two cases are considered: the symmetrical case corresponds to identical boundary fields, and the antisymmetrical case to exactly opposite boundary fields. In the symmetric case the solvation force is always negative (attractive) and has minimum in the vicinity of the bulk critical temperature. In the antisymmetric case the solvation force is positive (repulsive) at high temperatures and negative at low temperatures. It has a maximum close to the bulk critical temperature, changes sign close to the temperature of the critical wetting transition taking place in the semi-infinite system, and has a minimum located below the wetting temperature. The properties of the solvation forces in the vicinities of the critical and wetting temperatures are presented and discussed via the scaling functions describing their dependence on temperature, boundary field, and width of the stripe.

Back