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arXiv · 1309.5212

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

Tetsuya Mitsudo
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Abstract

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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Tetsuya Mitsudo. 2013-09-20. System-size independence of a large deviation function for frequency of events in a one-dimensional forest-fire model with a single ignition site. https://doi.org/10.1088/1751-8113/47/14/145001

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