Large-q expansion of the two-dimensional q-state Potts model by the finite lattice method
نویسنده
چکیده
We have calculated the large-q expansion for the energy and magnetization cumulants at the first order phase transition point in the two-dimensional q-state Potts model to the 21st or 23rd order in 1/ √ q using the finite lattice method. The obtained series allow us to give highly convergent estimates of the cumulants for q > 4. The results confirm us the correctness of the conjecture by Bhattacharya et al. on the asymptotic behavior of the energy cumulants for q → 4+ and a similar new conjecture on the magnetization cumulants.
منابع مشابه
Large-q expansion of the energy cumulants for the two-dimensional q-state Potts model
We have calculated the large-q expansion for the energy cumulants at the phase transition point in the two-dimensional q-state Potts model to the 23rd order in 1/ √ q using the finite lattice method. The obtained series allow us to give very precise estimates of the cumulants for q > 4 on the first order transition point. The result confirm us the correctness of the conjecture by Bhattacharya e...
متن کاملLarge-q expansion of the energy and magnetization cumulants for the two-dimensional q-state Potts model
We have calculated the large-q expansion for the energy cumulants and the magnetization cumulants at the phase transition point in the twodimensional q-state Potts model to the 21st or 23rd order in 1/ √ q using the finite lattice method. The obtained series allow us to give very precise estimates of the cumulants for q > 4 on the first order transition point. The result confirms us the correct...
متن کاملLarge-q Expansion of the Specific Heat for the Two-dimensional q-state Potts Model
We have calculated the large-q expansion for the specific heat at the phase transition point in the two-dimensional q-state Potts model to the 23rd order in 1/ √ q using the finite lattice method. The obtained series allows us to give highly convergent estimates of the specific heat for q > 4 on the first order transition point. The result confirm us the correctness of the conjecture by Bhattac...
متن کاملLow-Temperature Series for the Square Lattice Potts Model by the Improved Finite-Lattice Method
The low-temperature series are calculated for the free energy, magnetization and susceptibility in the Q-state Potts model on the square lattice, using the improved algorithm of the finite lattice method. The series are obtained to the order of z for each of Q = 5− 50, and the result of their Padé type analysis is compared with those of the large-Q expansion and the Monte Carlo simulations.
متن کاملLarge-q expansion of the correlation length in the two-dimensional q-state Potts model
The large-q expansions of the exponential correlation length and the second moment correlation length for the q-state Potts model in two dimensions are calculated at the first order phase transition point both in the ordered and disordered phases. The expansion coefficients in the ordered and disordered phases coincide in lower orders for both of the two types of the correlation lengths, but th...
متن کامل