THE EXACT SOLUTION OF ONE-DIMENSIONAL SPIN MODELS WITH THE MARKOV PROPERTY

Resumo

For one-dimensional spin and pseudospin models that can be mapped to a Markov chain, the free energy of the system at finite temperature can be expressed as a function of bond concentrations. By minimizing the free energy, we can obtain an exact solution for the statistical model. As examples, we consider the one-dimensional Potts model and the dilute Ising chain with interacting impurities.