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3
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0000371614
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H. K. Janssen, K. Oerding, F. van Wijland, and H. J. Hilhorst, Eur. Phys. J. B 7, 137 (1999).
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(1999)
Eur. Phys. J. B
, vol.7
, pp. 137
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Janssen, H.K.1
Oerding, K.2
van Wijland, F.3
Hilhorst, H.J.4
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7
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0003523992
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Cambridge University Press, Cambridge, England
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For a review see H. J. Jensen, Self-Organized Criticality (Cambridge University Press, Cambridge, England, 1998).
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(1998)
Self-Organized Criticality
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Jensen, H.J.1
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12
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3843080724
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A. Vespignani, R. Dickman, M. A. Muñoz, and S. Zapperi, Phys. Rev. Lett. 81, 5676 (1998).
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(1998)
Phys. Rev. Lett.
, vol.81
, pp. 5676
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Vespignani, A.1
Dickman, R.2
Muñoz, M.A.3
Zapperi, S.4
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14
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84957322993
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The connection between SOC and APT has been also discussed for the Bak-Sneppen model, in M. Paczuski, S. Maslov, and B. Bak, Europhys. Lett. 27, 97 (1994)
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(1994)
Europhys. Lett.
, vol.27
, pp. 97
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Paczuski, M.1
Maslov, S.2
Bak, B.3
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19
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21344497779
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In this sense, the model defined in Ref. 12 is similar to the threshold transfer process introduced by J. F. F. Mendes, R. Dickman, M. Henkel, and M. C. Marques, J. Phys. A 27, 3019 (1994).
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(1994)
J. Phys. A
, vol.27
, pp. 3019
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Mendes, J.F.F.1
Dickman, R.2
Henkel, M.3
Marques, M.C.4
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28
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36149049574
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M. Doi, J. Phys. A 9, 1465 (1976)
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(1976)
J. Phys. A
, vol.9
, pp. 1465
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Doi, M.1
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31
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85037217811
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spite of the naive power-counting analysis, the irrelevance of all terms must be checked on the grounds of a full RG analysis
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In spite of the naive power-counting analysis, the irrelevance of all terms must be checked on the grounds of a full RG analysis.
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34
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85037217364
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It is possible to show that the noise term (Formula presented) is equivalent to a conserved noise; i.e., it generates the same diagrams in a perturbative expansion; M. A. Muñoz and F. van Wijland (private communication)
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It is possible to show that the noise term (Formula presented) is equivalent to a conserved noise; i.e., it generates the same diagrams in a perturbative expansion; M. A. Muñoz and F. van Wijland (private communication).
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35
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85037233258
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It is worth noticing that the Bak, Tang, and Wiesenfeld sandpile model 68 has deterministic dynamics and does not belong to this universality class. Also, the Langevin description presented here is not valid for deterministic models that present nonergodic effects and recurrent states. This point, discussed in detail in Ref. 10, has been overlooked in Ref. 9, where deterministic and stochastic models are not distinguished
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It is worth noticing that the Bak, Tang, and Wiesenfeld sandpile model 68 has deterministic dynamics and does not belong to this universality class. Also, the Langevin description presented here is not valid for deterministic models that present nonergodic effects and recurrent states. This point, discussed in detail in Ref. 10, has been overlooked in Ref. 9, where deterministic and stochastic models are not distinguished.
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