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We study the critical Casimir interaction between two spherical colloidsimmersed in a binary liquid mixture close to its critical demixing point. Thesurface of each colloid prefers one species of the mixture with the exceptionof a circular patch of arbitrary size, where the other species is preferred.For such objects we calculate, within the Derjaguin approximation, the scalingfunction describing the critical Casimir potential, and we use it to derive thescaling functions for all components of the forces and torques acting on bothcolloids. The results are compared with available experimental data. Moreover,the general relation between the scaling function for the potential and thescaling functions for the force and the torque is derived.

Effective Pair Interaction of Patchy Particles in Critical Fluids