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Stationary State Solutions of a Bond Diluted Kinetic Ising Model: An Effective-Field Theory Analysis

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Abstract

We examined the stationary state solutions of a bond diluted kinetic Ising model under a time dependent oscillating magnetic field within the effective-field theory (EFT) for a honeycomb lattice (q=3). The effects of the Hamiltonian parameters on the dynamic phase diagrams have been discussed in detail. Bond dilution process on the kinetic Ising model causes a number of interesting and unusual phenomena such as reentrant phenomena and has a tendency to destruct the first-order transitions and the dynamic tricritical point. Moreover, we have investigated the variation of the bond percolation threshold as functions of the amplitude and frequency of the oscillating field.

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Acknowledgements

The numerical calculations reported in this paper were performed at TÜBİTAK ULAKBİM (Turkish agency), High Performance and Grid Computing Center (TRUBA Resources) and this study has been completed at Dokuz Eylul University, Graduate School of Natural and Applied Sciences. One of the authors (B.O.A.) would like to thank the Turkish Educational Foundation (TEV) for partial financial support.

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  1. Department of Physics, Dokuz Eylül University, 35160, Izmir, Turkey

    E. Vatansever, B. O. Aktas, Y. Yüksel, U. Akinci & H. Polat

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  1. E. Vatansever
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  2. B. O. Aktas
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  3. Y. Yüksel
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  4. U. Akinci
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  5. H. Polat
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Correspondence to H. Polat.

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Vatansever, E., Aktas, B.O., Yüksel, Y. et al. Stationary State Solutions of a Bond Diluted Kinetic Ising Model: An Effective-Field Theory Analysis. J Stat Phys 147, 1068–1076 (2012). https://doi.org/10.1007/s10955-012-0519-5

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  • DOI: https://doi.org/10.1007/s10955-012-0519-5

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