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Self Organised Criticality in Dilute Lattice

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DOI: 10.4236/jmp.2014.517190    2,311 Downloads   2,547 Views   Citations

ABSTRACT

The variation of in BTW model in presence of holes (dissipative sites) has been studied. The value of  decreases as the fraction of number of holes increases. Interestingly, it is observed that the variation of the rate of change of  with the fraction of number of holes is different for the two different types of distribution of holes over the lattice. When the holes are randomly distributed over the lattice then the dissipation is more compared to that of the case when the holes are present in the form of a single compact cluster with same fraction. The value of  is less in the first case than that observed in the second case.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Acharyya, A. (2014) Self Organised Criticality in Dilute Lattice. Journal of Modern Physics, 5, 1958-1962. doi: 10.4236/jmp.2014.517190.

References

[1] Bak, P., Tang, C. and Wiesenfeld, K. (1987) Physical Review Letters, 59, 381-384.
Bak, P., Tang, C. and Wiesenfeld, K. (1988) Physical Review A, 38, 364.
http://dx.doi.org/10.1103/PhysRevA.38.364
[2] Dhar, D. (1990) Physical Review Letters, 64, 1613-1616.
Majumder, S.N. and Dhar, D. (1991) Journal of Physics A, 24, L357.
[3] Ivashkevich, E.V. (1994) Journal of Physics A, 27, 3643-3653.
Priezzhev, V.B. (1994) Journal of Statistical Physics, 74, 955-979.
[4] Priezzhev, V.B., Ktitarev, D.V. and Ivashkevich, E.V. (1996) Physical Review Letters, 76, 2093-2096.
http://dx.doi.org/10.1103/PhysRevLett.76.2093
[5] Benhur, A. and Biham, O. (1996) Physical Review E, 53, R1317-R1320.
http://dx.doi.org/10.1103/PhysRevE.53.R1317
[6] Lubek, S. and Usadel, K.D. (1997) Physical Review E, 55, 4095.
http://dx.doi.org/10.1103/PhysRevE.55.4095
[7] Ivashkevich, E.V., Ktitarev, D.V. and Priezzhev, V.B. (1994) Journal of Physics A, 27, L585.
http://dx.doi.org/10.1088/0305-4470/27/16/004
[8] Pietronero, L., Vespignani, A. and Zapperi, S. (1994) Physical Review Letters, 72, 1690.
Ivashkevich, E.V. (1996) Physical Review Letters, 76, 3368-3371.
[9] Bhowal, A. (1997) Physica A, 247, 327-330.
http://dx.doi.org/10.1016/S0378-4371(97)00369-5
[10] Manna, S.S., Kiss, L.B. and Kertesz, J. (1990) Journal of Statistical Physics, 61, 923-932.
http://dx.doi.org/10.1007/BF01027312
[11] Manna, S.S., Chakrabarti, A.D. and Cafiero, R. (1999) Physical Review E, 60, R5005.
http://dx.doi.org/10.1103/PhysRevE.60.R5005
[12] Malcai, O., Shilo, Y. and Biham, O. (2006) Physical Review E, 73, Article ID: 056125.
http://dx.doi.org/10.1103/PhysRevE.73.056125
[13] Najafi, M.N., Araghi, S.M. and Rouhani, S. (2012) Physical Review E, 85, Article ID: 051104.
http://dx.doi.org/10.1103/PhysRevE.85.051104

  
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