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Time-dependent thermodynamic properties of the Ising model from damage spreading

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Abstract

The relationship between damage spreading and static thermodynamic properties in the Ising model developed by Coniglioet al. is here extended to include time-dependent thermodynamic quantities. We exploit this new result to measure the time-dependent spin correlation function from damage spreading in the Ising model with heat bath and Glauber dynamics. Until now, only static thermodynamic quantities have been correctly determined from damage spreading, and even then, only with heat bath dynamics. We also show that there are significant differences between the kinetics of damage spreading as found in heat bath and Glauber dynamics.

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References

  1. S. A. Kaufmann,J. Theor. Biol. 22:437 (1969);Sci. Am. (1991).

    Google Scholar 

  2. D. Stauffer,Phil. Mag. B 56:901 (1987).

    Google Scholar 

  3. S. C. Glotzer, D. Stauffer, and S. Sastry,Physica A 164:1 (1990).

    Google Scholar 

  4. U. M. S. Costa,J. Phys. A: Math. Gen. 20:L583 (1987).

    Google Scholar 

  5. H. E. Stanley, D. Stauffer, J. Kertesz, and H. J. Herrmann,Phys. Rev. Lett. 59:2326 (1987).

    Google Scholar 

  6. G. Le Caer,J. Phys. A 22:L647 (1989);Physica A 159:329 (1989).

    Google Scholar 

  7. B. Derrida and G. Weisbuch,Europhys. Lett. 4:657 (1987).

    Google Scholar 

  8. A. Coniglio, L. de Arcangelis, H. J. Herrmann, and N. Jan,Europhys. Lett. 8:315 (1989).

    Google Scholar 

  9. L. de Arcangelis, H. J. Herrmann, and A. Coniglio,J. Phys. A: Math. Gen. 23:L265 (1990).

    Google Scholar 

  10. A. U. Neumann and B. Derrida,J. Phys. (Paris)49:1647 (1988).

    Google Scholar 

  11. L. de Arcangelis, A. Coniglio, and H. J. Herrmann,Europhys. Lett. 9:749 (1989).

    Google Scholar 

  12. A. Coninglio, inCorrelations and Connectivity, H. E. Stanley and N. Ostrowsky, eds. (Kluwer, Dordrecht, 1990).

    Google Scholar 

  13. H. R. da Cruz, U. M. S. Costa, and E. M. F. Curado,J. Phys. A: Math. Gen. 22:L651 (1989).

    Google Scholar 

  14. A. M. Mariz, H. J. Herrmann, and L. de Arcangelis,J. Stat. Phys. 59:1043 (1990).

    Google Scholar 

  15. D. Stauffer,Physica A 162:27 (1990).

    Google Scholar 

  16. A. M. Mariz and H. J. Herrmann,J. Phys. A: Math. Gen. 22:L1081 (1989).

    Google Scholar 

  17. O. Golinelli and B. Derrida,J. Phys. (Paris)49:663 (1988).

    Google Scholar 

  18. S. S. Manna,J. Phys. (Paris)51:261 (1990).

    Google Scholar 

  19. M. N. Barber and B. Derrida,J. Stat. Phys. 51:877 (1988).

    Google Scholar 

  20. H. O. Heuer,Phys. World 1992 (January):23; and preprints.

  21. P. H. Poole and N. Jan,J. Phys. A: Math. Gen. 23:L453 (1990).

    Google Scholar 

  22. S. C. Glotzer and N. Jan,Physica A 173:325 (1991).

    Google Scholar 

  23. H. J. Herrmann, inThe Monte Carlo Method in Condensed Matter Physics, K. Binder, ed. (Springer-Verlag, Berlin, 1991).

    Google Scholar 

  24. J. D. Reger, private communication.

  25. N. Jan and D. L. Hunter, private communication.

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Glotzer, S.C., Poole, P.H. & Jan, N. Time-dependent thermodynamic properties of the Ising model from damage spreading. J Stat Phys 68, 895–910 (1992). https://doi.org/10.1007/BF01048879

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