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Stable,metastable and unstable solutions of a spin-1 Ising system in the presence of magnetic fields due to the dipole and quadrupole moments
Institution:1. Department of Radiotherapy Center, Hubei Cancer Hospital, The Seventh Clinical School Affiliated of Tongji Medical College, Huazhong University of Science and Technology, Hubei Provincial Clinical Research Center for Breast Cancer, Wuhan Clinical Research Center for Breast Cancer, Wuhan 430079, China;2. Department of Breast Surgery, Hubei Cancer Hospital, Tongji Medical College, Huazhong University of Science and Technology, Hubei Provincial Clinical Research Center for Breast Cancer, Wuhan Clinical Research Center for Breast Cancer, Wuhan 430079, China;3. College of Biomedicine and Health, Huazhong Agricultural University, Wuhan, Hubei 430070, China
Abstract:The spin-1 Ising model with bilinear (J) and biquadratic (K) interactions is studied for magnetic fields Hs and HQ representing dipole and quadrupole moments, respectively, by using the lowest approximation of the cluster variation method. The influence of Hs, HQ and α = J/K on metastable and unstable solutions, which are very important for many theoretical and experimental works, is investigated and it is found that metastable and unstable solutions occur at high temperatures when α and HQ are increased. However if HS is increased, metastable and unstable solutions can be found only at low temperatures.
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