  A two-spin system based on the idea used to formulate the dynamical model
simulating the process of opinion spreading in a society, where people adopt
one of the four social attitudes [Physica A 351, 593 (2005)] is studied. The
model is made of chains with two species of spins S and V at each site coupled
by an insite interaction ~M0 and interacting in different way with nearest (NN)
and next-nearest (NNN) neighbors. The one-dimensional model with only NN
interaction of the S spins and both NN and NNN interactions of the V spins
(ACLS model) is analyzed. Using the linear renormalization group (LRG) the
dependences of the specific heat and correlation functions on temperature and
~M0 are calculated. The roles of the insite and NNN interactions are
considered. The usefulness of the ACLS model to define stable states of the
dynamical model describing opinion spreading in a society, which members
represent four different attitudes to the level of freedom in two areas:
personal and economic is discussed. It is pointed out that the difficulties in
organizing modern societies can result from an internal con ict between these
two areas. 1
