System-size independence of a large deviation function for frequency of events in a one-dimensional forest-fire model with a single ignition site
Statistical Mechanics
2014-04-07 v2
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.
Keywords
Cite
@article{arxiv.1309.5212,
title = {System-size independence of a large deviation function for frequency of events in a one-dimensional forest-fire model with a single ignition site},
author = {Tetsuya Mitsudo},
journal= {arXiv preprint arXiv:1309.5212},
year = {2014}
}
Comments
11 pages, 4 figures