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Abstract
A simple molecular theoretical model is first proposed to analyse the phase transitions of SmCA* liquid crystals. The present model is a microscopic one and takes account for a long range attractive interaction as well as the short range repulsive interaction between inter-layers. A local molecular field is derived in a general form assuming an heterogeneous molecular field in each layer with a period. After some recasts of the self-consistent egations to assure the minimum of the free energy, one finds a set of concise nonlinear dierence equations which may be solved under an appropriate periodic boundary condition. From numerical computations, one finds the first-order SmCA*-SmC* and SmCγ*-SmC*phase transitions.