Magnetic susceptibility of the square lattice Ising model

In this work, we obtained an analytical relation for the susceptibility of square lattice Ising model. Our investigation is based on average magnetization interrelation which was recently by us. To proceed further, have to make a mathematical conjecture about three-site correlation function appearing in interrelation. We presented conjectured form three spin with relation, $$\langle \sigma _{1}\sigma _{2}\sigma _{3}\rangle =a(K,H)\langle \rangle +[1-a(K,H)]\langle ^{(1+\beta ^{-1})}$$ . Here, $$\beta$$ denotes critical exponent and a(K, H) whose behavior will be described around point arbitrary constant. elucidate relevance method, first calculated 1D chain as example, expression equivalent result conventional method. Applying same values magnetic $$\gamma$$ The are $$\gamma =1.72$$ $$T\!>\!T_{c}$$ , =0.91$$ $$T\!<\!T_{c}$$