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Influences of finite-size effects on the self-organized critical-ity of forest-fire model 被引量:9

Influences of finite-size effects on the self-organized critical-ity of forest-fire model
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摘要 The influences of finite-size effects on the self-organized criticality (SOC) of the traditional forest-fire model are investigated by means of a new method. The forest size is originally set to a value much greater than the correla-tion length of the forest. Finite-size effects are then studied by equally dividing the forest into more and more separate subsystems on condition that the forest size, igniting prob-ability and planting probability are invariant. A new phe-nomenon, i.e. the finite-size effects with one-side frequency peak, is observed. The boundary between two neighboring subsystems can be regarded as a firebreak. The concept of ’separation ability’ is introduced to represent the probability for the firebreak to block off the fire successfully. Restrain-ing effects of separation ability on finite-size effects are ana-lyzed. Finite-size effects and separation ability, as well as their relations are found to have practical importance to the actual forest-fire protection. The influences of finite-size effects on the self-organized criticality (SOC) of the traditional forest-fire model are investigated by means of a new method. The forest size is originally set to a value much greater than the correlation length of the forest. Finite-size effects are then studied by equally dividing the forest into more and more separate subsystems on condition that the forest size, igniting probability and planting probability are invariant. A new phenomenon, i.e. the finite-size effects with one-side frequency peak, is observed. The boundary between two neighboring subsystems can be regarded as a firebreak. The concept of ‘separation ability’ is introduced to represent the probability for the firebreak to block off the fire successfully. Restraining effects of separation ability on finite-size effects are analyzed. Finite-size effects and separation ability, as well as their relations are found to have practical importance to the actual forest-fire protection.
出处 《Chinese Science Bulletin》 SCIE EI CAS 2002年第3期177-180,共4页
基金 This work was supported by the National Basic Research "973" Project in China the National Natural Science Foundation in China (Grant Nos. 59876039, 59936140 and 39970621).
关键词 forest-fire model SELF-ORGANIZED CRITICALITY cellular AUTOMATA FINITE-SIZE effects. forest-fire model self-organized criticality cellular automata finite-size effects
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参考文献3

  • 1K. Schenk,B. Drossel,S. Clar,F. Schwabl.Finite-size effects in the self-organized critical forest-fire model[J].The European Physical Journal B.2000(1)
  • 2Albano,E. V.Critical behavior of a forest fire model with im-mune trees, J.Phys[].A Math Gen.1994
  • 3Albano,E. V.Spreading analysis and finite-size scaling study of the critical behavior of a forest fire model with immune trees[].Physical Review A Atomic Molecular and Optical Physics.1995

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