Crystal field dilution in S-1 Blume Capel model: Hysteresis behaviors

• Hysteresis characteristics of the crystal field diluted S-1 BC model investigated.
• Double and triple hysteresis behaviors obtained.
• Physical mechanisms give rise the different hysteresis behaviors given.

Hysteresis characteristics of the crystal field diluted S-1 Ising (Blume–Capel) model have been studied within the effective field approximation. Paramagnetic and double hysteresis behaviors for the paramagnetic phase have been obtained. It has also been shown that, for the ferromagnetic phase of the system, single and triple hysteresis behaviors may occur. Regions that show these different hysteresis behaviors are explicitly obtained in the space of Hamiltonian parameters. Besides, physical mechanisms that give rise to these behaviors have been given.