Interfacial adsorption phenomena at a weakly first-order phase transition

Interfacial adsorption in two-dimensional pure and random-bond Potts models

“…The above scaling predictions have been confirmed reasonably well in previous Monte Carlo simulations for pure q = 3 Potts and Blume-Capel models showing continuous transitions [6,[8][9][10]. On the other hand for the case of first-order transitions where metastability effects cast further difficulties in the scaling analysis, the expected linear divergence has been only partially supported by the numerical data at hand [9,11]. In the present study, we extend and refine previous results on the size-dependence of the interfacial adsorption by considering the pure Potts model for various values of the internal states q as well as by including bond randomness in the system.…”

Interfacial adsorption phenomena of the three-dimensional three-state Potts model

“…We omit the correction terms for simplicity here. In two dimensions the finite-size scaling (3) and (4) of W L (T ) have been confirmed by the Monte Carlo method [28,32,33]. One should note in (3) that W L (T C ) is proportional to L at first-order phase transitions regardless of the dimensions d.…”

“…3 Finite-size scaling theory Yamagata and Kasono [28] have discussed the finite-size effects [32,33] of the net-adsorption. Noting the relation between W L (T ) and the interfacial free energy, they have shown…”

“…Yamagata and Kasono [28] have studied the finite-size effects of W L (T C ) to identify the order of transitions. They have found by the Monte Carlo method that W L (T C ) was proportional to L on the two-dimensional five-state Potts model.…”

“…Thus it is difficult to recognize the order of the transition. Yamagata and Kasono [28], however, could found the finite-size effects of first-order type in the interfacial adsorption phenomena [29,30] of the system by the Monte Carlo method.…”