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Study of continuous phase transition with Toom cellular automata

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Języki publikacji
EN
Abstrakty
EN
The heuristic proof, based on computer simulation investigations, is presented that though stationary Toom cellular automata exhibit many features which are characteristic for an equilibrium system (e.g. rapid change in the order parameter, when noise is fine tuned, or slow decay of the two point correlation function), the stationary state is not Gibbsian. It means that it is impossible to define energy on the microscopic level in such a way that the dynamic system becomes representative of some equilibrium lattice model. Moreover, properties on the coarse-grained level: fluctuations, seem to be distinct from the corresponding ones of the Ising model.
Rocznik
Strony
19--31
Opis fizyczny
Bibliogr. 13 poz., rys.
Twórcy
autor
  • Institute of Theoretical Physics and Astrophysics, Gdansk University, Wita Stwosza 57, 80-952 Gdańsk, Poland
Bibliografia
  • [1] P. Marcq, H. Chate and P. Manneville, Phys. Rev. Lett. 77,4003,1996 P. Marcq, H. Chate and P. Manneville, Phys. Rev. E 55,2606,1997
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  • [3] J. J. Binney, N. J. Dowrick, A. J. Fisher and M. E. J. Newman, in The Theory of Critical Phenomena, Oxford University Press, Oxford, 1992
  • [4] Monte Carlo Methods in statistical Physics ed. K. Binder Springer-Verlag, Berlin- Heidelberg-NewYork, 1979 K.Binder, Z.Phys. B 43,119,1981
  • [5] R. Fernandez, Physica A 263,117,1999
  • [6] J.L.Lebowitz and R.Schor.mann, Prob. Th.Rel.Fields 77,49,1988
  • [7] J. L. Lebowitz, Ch. Maes and E. R. Speer, J. Stat. Phys. 59,117,1990
  • [8] Ch. Maes and K. Vande Velde, Physica A 206,587(1994) Ch. Maes and K. Vande Velde, Commun.Math.Phys. 189,277,1997
  • [9] Ch. H. Bennett and G. Grinstein, Phys. Rev. Lett. 55,657,1985
  • [10] C. G. Langton, Physica D 42,12,1990 H. A. Gutowitz and C. G. Langton in Mean Field Theory of the Edge of Chaos, Proceedings of EC AL3, Springer Verlag, New York, 1995 A. Wuensche in Classifying Cellular Automata Automatically, Santa Fe Institute working paper 98-02-018,1998
  • [11] D.Makowiec, Physica A 234,435,1996
  • [12] G. Grinstein,C. Jayaprakash and Yu He, Phys. Rev. Lett. 55,2527,1985 B. C. S. Grandi and W. Figueiredo, Phys. Rev. E 53 5484,1995
  • [13] D. Makowiec, Phys. Rev. E 55,6582,1997 D. Makowiec, Phys. Rev. E 56,5193,1997 D. Makowiec, Acta Phys. Pol. B 29,1599,1998 D. Makowiec, Phys. Rev. E 60,3787,1999
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT3-0016-0061
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