Dynamic phase diagrams of the Blume-Capel model in an oscillating field by the path probability method
arXiv:1302.6769 · doi:10.1016/j.physa.2014.06.001
Abstract
We calculate the dynamic phase transition (DPT) temperatures and present the dynamic phase diagrams in the Blume-Capel model under the presence of a time-dependent oscillating external magnetic field by using the path probability method. We study the time variation of the average order parameters to obtain the phases in the system and the paramagnetic (P), ferromagnetic (F) and the F + P mixed phases are found. We also investigate the thermal behavior of the dynamic order parameters to analyze the nature (continuous and discontinuous) of transitions and to obtain the DPT points. We present the dynamic phase diagrams in three planes, namely (T, h), (d, T) and (k2/k1, T), where T is the reduced temperature, h the reduced magnetic field amplitude, d the reduced crystal-field interaction and the k2, k1 rate constants. The phase diagrams exhibit dynamic tricritical and reentrant behaviors as well as a double critical end point and triple point, strongly depending on the values of the interaction parameters and the rate constants. We compare and discuss the dynamic phase diagrams with dynamic phase diagrams that are obtained within the Glauber-type stochastic dynamics based on the mean-field theory and the effective field theory.
12 pages, 4 figures, 1 table
References in corpus (8)
- Evidence for a dynamic phase transition in [Co/Pt]_3 magnetic multilayers
- Absence of First-order Transition and Tri-critical Point in the Dynamic Phase Diagram of a Spatially Extended Bistable System in an Oscillating Field
- Wetting Transition in the Two-Dimensional Blume-Capel Model: A Monte Carlo study
- Nonequilibrium phase transitions and stationary state solutions of a three-dimensional random-field Ising model under a time dependent periodic external field
- Effective field theory approach to fluctuation-induced forces between colloids at an interface
- Dynamic Phase Transition in the Kinetic Spin-3/2 Blume-Capel Model: Phase Diagrams in the Temperature and Crystal-Field Interaction Plane
- Dynamic Phase Transitions for Ferromagnetic Systems
- Universality of the Ising and the S=1 model on Archimedean lattices: A Monte Carlo determination