First Order Phase Transition of the Q-state Potts Model in Two Dimensions
نویسندگان
چکیده
We have calculated the large-q series of the energy cumulants, the magnetization cumulants and the correlation length at the first order phase transition point both in the ordered and disordered phases for the q-state Potts model in two dimensions. The series enables us to estimate the numerical values of the quantities more precisely by a factor of 102−104 than the Monte Carlo simulations. From the large-q series of the eigenvalues of the transfer matrix, we also find that the excited states form a continuum spectrum and there is no particle state at the first order phase transition point.
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The Q-state Potts model in two dimensions is very fertile ground for the investigation of phase transitions and critical phenomena. For Q = 2 and 3 there is a second order phase transition between Q ferromagnetic ordered states and a disordered state. For Q = 4 the transition is also second order, but the usual critical behavior is modified by strong logarithmic corrections. For Q > 4 the trans...
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