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The direction of maximum spread in anisotropic forest fires and its critical properties

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  • Duarte, J.A.M.S.
  • Carvalho, João Marques
  • Ruskin, H.J.

Abstract

Some new critical properties related to the spread along the anisotropy axis of directed percolation as a model for wind-biased forest or wild land fire, are introduced and discussed. We show that it is possible to extract the burned mass along the axis, its appropriate exponent, and the gap exponent for successive bulk moments of the total burned mass from Monte Carlo studies at the critical probability. We provide evidence for a new, analogous exponent for the mass burned on the axis and propose a scaling relation for it, based on the numerical evidence.

Suggested Citation

  • Duarte, J.A.M.S. & Carvalho, João Marques & Ruskin, H.J., 1992. "The direction of maximum spread in anisotropic forest fires and its critical properties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 183(4), pages 411-421.
    • Handle: RePEc:eee:phsmap:v:183:y:1992:i:4:p:411-421
    DOI: 10.1016/0378-4371(92)90292-X
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    Cited by:

    1. Téphany, H. & Nahmias, J. & Duarte, J.A.M.S., 1997. "Combustion on heterogeneous media a critical phenomenon," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 242(1), pages 57-69.

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