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System-size independence of a large deviation function for frequency of events in a one-dimensional forest-fire model with a single ignition site

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 نشر من قبل Tetsuya Mitsudo
 تاريخ النشر 2013
  مجال البحث فيزياء
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 تأليف Tetsuya Mitsudo




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It is found that a large deviation function for frequency of events of size not equal to the system size in the one dimensional forest-fire model with a single ignition site at an edge is independent of the system size, by using an exact decomposition of the modified transition matrix of a master equation. An exchange in the largest eigenvalue of the modified transition matrix may not occur in the model.

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