LAUSR

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 (2005 Physica A 351 593) is studied. The model is made of chains with two species of spins S and V at each site coupled by an insite interaction M̃0 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 M̃0 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 conflict between these two areas.