Phase transitions in the spin- beg model

The Study of the Three-Dimensional Spin-3/2 Ising Model on a Cellular Automaton

“…All these studies were done by different methods, such as mean field approximation (MFA) [1][2][3][4], renormalization group (RG) methods [5,6], the effective-field theory (EFT) [7][8][9], cluster variation method (CVM) [10][11][12] and Monte Carlo (MC) simulation [3,13]. Most of these studies have considered some portion of the phase diagram of the model.…”

“…Most of these studies have considered some portion of the phase diagram of the model. Within the MFA and MC calculations [3], only the phase diagrams of the isotropic spin-3/2 BEG model and the spin-3/2 BC model which includes only J and K interactions were obtained. These models were also studied by using the EFT [8] and CVM [10].…”

Critical Behaviour of the Ferromagnetic Spin-3/2 – Blume-Emery-Griffiths Model with Repulsive Biquadratic Coupling

“…It agrees very well with previous works [11,12], but differs from these previous works in that the reentrant behaviour does not occur for the second-order phase transition line which separates the i phase from the f 3/2 and f 1/2 phases. well with the works [8,9,12], except for the first-order phase transition line. (e) For K/J = 1.25, the topology of this phase diagram is also very similar to the phase diagram of Fig.…”

“…One should also notice a pronounced reentrance occurring in this diagram. A similar phase diagram has been obtained in the ferromagnetic spin-3 2 BEG model within the MFA [8], the EFT [9] and the CVMPA for the coordination number q < 6 [10], as well as the exact formulation of the model on the Bethe lattice by using the exact recursion equations [12,13] for q < 6, but only differs in that the reentrant behaviour does not exist in these two works. However, the exactly similar phase diagram was obtained for q > 6 in [10] and [13].…”

Critical behavior of the spin-3/2 Blume-Capel model on a random two-dimensional lattice

“…The case where S = 1 has been extensively studied by several approximate techniques in two-and three-dimensions and its phase diagram is well established [29][30][31][32][33][34][35]. The case S > 1 has also been investigated according to several procedures [36][37][38][39][40][41][42]. The simulations have been performed for ∆ = 0, which is the simplest case, on different lattice sizes comprising a number N = 1000, 2000, 4000, 8000, 16000 and 32000 of sites.…”