96-03U

The systematic calculation of the partition function of $n$-component Stanly model is performed using the collective variables representation. In the $\rho ^{4}$ model approximation the explicit expressions for the partical partition functions and general recurcion relations (RR) are obtained.It is show that for all values of $n$ the RR have a saddle-type fixed point. The fixed point coordinates are calculated and their dependence on division parameter and number of order parameter components $n$ are examined. The values of correlation length exponent $\nu $ are found for different values of $n$.