Bond Dilution Effects on Bethe Lattice the Spin-1 Blume-Capel Model
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摘要:
The bond dilution effects are investigated for the spin-1 Blume-Capel model on the Bethe lattice by using the exact recursion relations.The bilinear interaction parameter is either turned on ferromagnetically with probability p or turned off with probability 1-p between the nearest-neighbor spins.The thermal variations of the order-parameters are studied in detail to obtain the phase diagrams on the possible planes spanned by the temperature (T),probability (p) and crystal field (D) for the coordination numbers q =3,4,and 6.The lines of the second-order phase transitions,Tc-lines,combined with the first-order ones,Tt-lines,at the tricritical points (TCP) are always found for any p and q on the (T,D)-planes.It is also found that the model gives only Tc-lines,Tc-lines combined with the Tt-lines at the TCP's and only Tt-lines with the consecutively decreasing values of D on the (T,p)-planes for all q.