Crossover of critical Casimir forces between different surface universality classes

Thomas Friedrich Mohry

Max-Planck-Institut für Metallforschung, Stuttgart, Germany

For systems belonging to the Ising bulk universality class corresponding to a scalar order parameter the critical Casimir force is studied for the film geometry in the crossover regime between different surface universality classes, characterized by finite surface fields at the two confining surfaces. The scaling function of the critical Casimir force is calculated within mean field theory. It can be mapped by rescaling, except for a narrow crossover regime, onto the corresponding scaling function of the so-called normal fixed point of strong surface fields. In the crossover regime it exhibits a qualitative different shape.

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