Dynamic phase transition and dynamic phase diagrams in the spin-5/2 Blume–Capel model under a time-dependent oscillating external field

Abstract

We calculate the dynamic phase transition (DPT) temperatures and present the dynamic phase diagrams in the kinetic spin-5/2 Blume–Capel model under the presence of a time-dependent oscillating external magnetic field. First, we employ the Glauber transition rates to construct the mean-field dynamic equation. Then, we study the time variation of the average magnetization to find the phases in the system. We also investigate the behaviour of the dynamic magnetization to characterize the nature (continuous and discontinuous) of transition and to obtain the DPT points. We present the dynamic phase diagrams in two different planes. The phase diagrams include the ferromagnetic-5/2 (f_5/2), the ferromagnetic-1/2 (f_1/2) and paramagnetic (p) fundamental phases. In addition to these fundamental phases, we find 10 mixed phases, depending on the interaction parameters. The phase diagrams display many special points, such as a dynamic tricritical point, a double critical end point, a triple point and a quadruple point.

Keywords:

• spin-5/2 Blume–Capel model
• dynamic phase transition
• dynamic phase diagrams
• Glauber-type stochastic dynamics

Acknowledgements

This work was supported by the Scientific and Technological Research Council of Turkey (TÜBİTAK) Grant No. 107T533 and Erciyes University Research Funds, Grant No. FBA-06-01. One of us (B.D.) would like to express our gratitude to the TÜBİTAK for the Ph.D scholarship.