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A flower-like Ising model. Thermodynamic properties

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Zeitschrift für Physik B Condensed Matter

Abstract

We consider a flower-like Ising model, in which there are some additional bonds (in the “flower-core”) compared to a pure Ising chain. To understand the behaviour of this system and particularly the competition between ferromagnetic (usual) bonds along the chain and antiferromagnetic (additional) bonds across the chain, we study analytically and iteratively the main thermodynamic quantities. Very interesting is, in the zero-field and zero-temperature limit, the behaviour of the magnetization and the susceptibility, closely related to the ground state configurations and their degeneracies. This degeneracy explains the existence of non-zero entropy at zero temperature, in our results. Also, this model could be useful for the experimental investigations in studying the saturation curves for the enzyme kinetics or the melting curves for DNA-denaturation in some flower-like configurations.

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References

  1. Mejdani, R.: Physica A206, 332 (1994)

    Article  CAS  Google Scholar 

  2. Mejdani, R.: Acta Phys. Pol. A85(6), 907 (1994); ibid. Acta. Phys. Pol. A85 (6), 919 (1994)

    CAS  Google Scholar 

  3. Lee, J.C.: Physica A160, 503 (1989)

    Article  Google Scholar 

  4. Lee, J.C., Stephens, J.M., Mead, L.R., Joyce, R.F.: Physica A,167, 749 (1990)

    Article  Google Scholar 

  5. Harada, I., Mannari, I., Kaburagi, M., Tonegawa, T.: J. Phys. Soc. Jpn.62, 301 (1993)

    Article  CAS  Google Scholar 

  6. Masui, S., Jacobs, A.E., Wicentowich, C., Southern, B.W. J. Phys. A: Math. Gen.26, 25 (1993)

    Article  Google Scholar 

  7. Masui, S., Southern, B.W., Jacobs, A.E.: Phys. Rev. B39, 6925 (1989)

    Article  Google Scholar 

  8. Derrida, B., Vannimenus, J., Pomeau, Y.: J. Phys. C: Solid State Phys.,11, 4749 (1978)

    Article  Google Scholar 

  9. Behn, U., Priezzhev, V.B., Zagrebnov, V.A.: Physica A167, 481 (1990)

    Article  Google Scholar 

  10. Morgenstern, I., Binder, K., Hornreich, R.M.: Phys. Rev. B23, 287 (1981)

    Article  CAS  Google Scholar 

  11. Villain, J.: J. Physique46, 1843 (1985)

    Article  Google Scholar 

  12. Moschel, A., Usadel, K.D., Hucht, A.: Phys. Rev. B47, 8676 (1993)

    Article  Google Scholar 

  13. Mejdani, R.: Il Nuovo cimento13D, 131 (1991)

    Article  CAS  Google Scholar 

  14. Thompson, C.J.: Mathematical Statistical Mechanics pp 177–220 Princeton University Press. New Jersey 1979

    Google Scholar 

  15. Wartell, R.M., Benight, A.S.: Phys. Rep.126, 67 (1985)

    Article  CAS  Google Scholar 

  16. Peyrard, M., Bishop, A.R.: Phys. Rev. Lett.62(23), 2755 (1989)

    Article  CAS  Google Scholar 

  17. Dauxois, T., Peyrard, M., Bishop, A.R.: Phys. Rev. E,47(1), R44 (1993); ibid. Phys. Rev. E,47(1), 684 (1993)

    Article  CAS  Google Scholar 

  18. Dauxois, T., Peyrard, M., Bishop, A.R.: Physica D66(1–2), 35 (1993)

    Article  CAS  Google Scholar 

  19. Chen, Y.Z., Prohofsky, E.W.: Phys. Rev. E,49(4), 3444 (1994)

    Article  CAS  Google Scholar 

  20. Dorby, A.O., Migoni, R.L., Cecatto, H.A.: Phys. Rev. B38, 2801 (1988)

    Article  Google Scholar 

  21. Muto, V.: J. Biol. Phys. (USA)19(2), 113 (1993)

    Article  CAS  Google Scholar 

  22. Chen, H.H., Ma, S.: J. Stat. Phys.29, 717 (1982)

    Article  Google Scholar 

  23. Balian, R.: From Microphyics to Macrophysics I, ch. 9 Berlin: Springer, 1991

    Book  Google Scholar 

  24. Ma, S., Statistical Mechanics, ch. 17, Philadelphia: World Scientific, 1985

    Book  Google Scholar 

  25. Mejdani, R.: A correlated walk's theory for DNA denaturation, IC/94/228, ICTP, Trieste-Italy, p. 13, 1994

    Google Scholar 

  26. Horton, G., Mejdani, R.: DNA denaturation for a tangled chain, In. Rep., DPh/UP/Portsmouth—UK, p. 16, 1994

  27. Montroll, E.W., Goel, N.S.: Biopolymers4, 855 (1966)

    Article  CAS  Google Scholar 

  28. Wartell, R.M.: in Statistical Mechanics and Statistical Methods in Theory and Application, pp. 613–630. Landman, U. (ed.), New York, London Plenum Press, 1977

    Chapter  Google Scholar 

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Authors and Affiliations

  1. Department of Physics, University of Tirana, Tirana, Albania

    R. Mejdani & M. Ifti

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  1. R. Mejdani
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  2. M. Ifti
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Mejdani, R., Ifti, M. A flower-like Ising model. Thermodynamic properties. Z. Phys. B - Condensed Matter 99, 435–443 (1995). https://doi.org/10.1007/s002570050059

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  • DOI: https://doi.org/10.1007/s002570050059

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