DYNAMIC PHASE TRANSITION IN THE KINETIC BLUME-EMERY-GRIFFITHS MODEL IN AN OSCILLATING EXTERNAL FIELD

Osman Canko (), Ümi̇t Temi̇zer () and Mustafa Keski̇n ()
Additional contact information
Osman Canko: Erciyes University, Department of Physics, 38039 Kayseri, Turkey
Ümi̇t Temi̇zer: Department of Physics, Erciyes Universtiy, 66100 Yozgat, Turkey
Mustafa Keski̇n: Erciyes University, Department of Physics, 38039 Kayseri, Turkey

International Journal of Modern Physics C (IJMPC), 2006, vol. 17, issue 12, 1717-1737

Abstract: The dynamic phase transitions are studied, within a mean-field approach, in the kinetic Blume-Emery-Grifftihs model under the presence of a time varying (sinusoidal) magnetic field by using the Glauber-type stochastic dynamics and the set of the dynamic equations of motion is obtained. The behavior of the time-dependence of the order parameters and the behavior of the average order parameters in a period, which is also called the dynamic order parameters, as a function of the reduced temperature are investigated. The nature (continuous and discontinuous) of transition is characterized by studying the average order parameters in a period. The dynamic phase transition points are obtained and the phase diagrams are presented in the reduced magnetic field amplitude and reduced temperature plane. We have found that the behavior of system strongly depends on the interaction parameters and nine main different phase diagram topologies have been obtained. We also calculate the Liapunov exponents to verify the stability of the solutions and the dynamic phase transition points.

Keywords: BEG model; dynamic phase transitions; phase diagrams; Glauber-type stochastic dynamics; 05.50.+q; 05.70.Fh; 64.60.Ht; 75.10.Hk (search for similar items in EconPapers)
Date: 2006
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183106010145
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:17:y:2006:i:12:n:s0129183106010145

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183106010145

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().