Application of modified ising model to the helix-coil transition of DNA molecules

Equilibrium properties of heterogeneous DNA near the melting temperature T_m are investigated using the grand partition function. The present approach gives exact and analytical solutions. The algebraic expressions enhance a more thorough understanding of the correlation among many observed equilibrium phenomena. The following quantities have been examined: melting temperature T_m, transition width W, partial melting curves θ_AT and θ_GC, mean length of a helical segment h, and correlation length γ.