The ground state and the character of the interaction between a colloidal particles in a liquid crystals

In this article is proposed the general approach to determination the character of the interaction between colloidal particles in a different liquid crystals. The main idea of this approach are in the presentation of the colloidal particle as sours of the possible deformation of the ground state of the director field. The ground state of liquid crystal imposes restrictions on the possible deformations and as result determine the character of the interaction between the colloidal particles. Based on this approach the Coulomb like interaction between dipole particles in a cholesteric liquid crystal and changing of the character of the interaction in a smactic liquid crystal has been predicted.