Ising Model on periodic and quasi-periodic chains in presence of magnetic field: some exact results
Bhattacharya, Susanta · Paul, Samir K.
Original · EN
We present a general procedure for calculating the exact partition function of an Ising model on a periodic chain in presence of magnetic field considering both open and closed boundary conditions. Using same procedure on a quasiperiodic (Fibonacci) chain we have established a recurrence relation among partition functions of different Fibonacci generations from n-th to (n+6)-th. In the large N limit we find (2τ+ 1)Fₙ₊₁=Fₙ₊₂; where τ is the golden mean and Fₙ stands for free energy/spin for the n-th generation. We have also studied chemical potential in both cases.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.